Answers
Based on the inscribed angle theorem, the value of x is: 126°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, the measure of inscribed angle (63 degrees) equals half of the measure of central angle (x).
Thus, we would have:
63 = 1/2(x)
2(63) = x
126 = x
x = 126°
Learn more about the inscribed angle theorem on:
https://brainly.com/question/3538263
#SPJ1
Related Questions
Question in the picture please help
Answers
The tabulated form of Two column proof attached below.
Two column proof is just tabulated form of statements and reason.
We are adding the key points to the table. As per the required questions
Thus the table formed by is attached below.
Learn more about proofs here:
https://brainly.com/question/1771263
#SPJ1
6
4
2
0
A
2
4
C
6
8
What is the length of A"B"?
10 12
X
Triangle A'B'C' is created by dilating triangle with a scale factor centered at the origin
Answers
The length of A"B" is 20 units
How to determine the length of A'B'?From the figure, we have:
A = (1, 4)
B = (4, 8)
The distance AB is:
[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(1 -4)^2 + (4-8)^2[/tex]
Evaluate
[tex]AB = \sqrt{25[/tex]
This gives
AB = 5
The scale factor of dilation is 4.
So, we have:
A'B' = 5 * 4
Evaluate
A'B' = 20
Hence, the length of A"B" is 20 units
Read more about dilation at:
https://brainly.com/question/18977334
#SPJ1
Add: (3g^8-4h) + (-6g*8)
pls answer asap
Answers
The sum of the expression is 3g^8 - 4h - 48
How to add the expressionGiven that;
(3g^8 - 4h) + ( -6 × 8)
Expand the brackets,
3g^8 - 4h - 6 × 8
Multiply the values
3g^8 - 4h - 48
Therefore, the sum of the expression is 3g^8 - 4h - 48
Learn more about algebraic expressions here:https://brainly.com/question/4056917
#SPJ1
Which statements about the angles of the triangle are true? check all that apply. a triangle has angles 6, 7, 8. angle 7 has an exterior angle of 1. a diagonal line extends from angle 8 to form angle 2. angle 6 has exterior angle 5. the line extends to form angles 3 and 4. angle 1 is an exterior angle. angle 2 is an exterior angle. angle 4 is an exterior angle. angle 7 is an adjacent interior angle. angle 6 is an adjacent interior angle. it is adjacent to the exterior angle 4. angles 6 and 8 are remote interior angles to the exterior angle 1. angles 6 and 7 are remote interior angles to the exterior angle 2. angles 7 and 8 are remote interior angles to the exterior angle 4.
Answers
All the statements are true about the triangle except
1. a diagonal line extends from angle 8 to form angle.
According to the statement
There is a triangle has angles 6, 7, 8 and there are also some statements are given that matched with the triangle.
But the statement
1. a diagonal line extends from angle 8 to form angle.
is not true because it is not possible to extend a diagonal line from angle 8.
So, All the statements are true about the triangle except
1. a diagonal line extends from angle 8 to form angle.
Learn more about ANGLES here
https://brainly.com/question/16281260
#SPJ4
Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours.
If Patty wants to earn at least $750 this week, which inequality could she solve to find the number of surveys, s, she needs her customers to complete this week?
Answers
Considering the definition of an inequality, the inequality she could solve to find the number of surveys, s, she needs her customers to complete this week is 18(38)- 2.50s ≥ 750
Definition of inequalityAn inequality is the existing inequality between two algebraic expressions, connected through the signs:
greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.An inequality contains one or more unknown values called unknowns, in addition to certain known data.
Solving an inequality consists of finding all the values of the unknown for which the inequality relation holds.
Inequality in this caseIn this case, Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours and she wants to earn at least $750.
Being "s" number of surveys Patty needs her customers to complete this week, the inequality that expresses the previous relationship is
18× 38 hours - 2.50×s ≥ 750 or, which is the same, 18(38)- 2.50s ≥ 750
Finally, the inequality she could solve to find the number of surveys, s, she needs her customers to complete this week is 18(38)- 2.50s ≥ 750
Learn more about inequality:
brainly.com/question/17578702
brainly.com/question/25275758
brainly.com/question/14361489
brainly.com/question/1462764
#SPJ1
Gisela would owe $15,500 in taxes each year if she were not eligible for any tax deductions.
This year, Gisela is eligible for tax deductions that reduce the amount of taxes she owes by
$2,325.00. If these tax deductions reduce the taxes Gisela owes this year by d%, what is the
value of d?
Answers
Answer:
15%
Step-by-step explanation:
$2325/$15500
Answer: 15
Step-by-step explanation: It’s given that the deductions reduce the original amount of taxes owed by $2,325.00. Since the deductions reduce the original amount of taxes owed by d%, the equation 2,32515,500=d100 can be used to find this percent decrease , d . Multiplying both sides of this equation by 100 yields 232,50015,500=d, or 15 = d. Thus, the tax deductions reduce the original amount of taxes owed by 15%.
Find the area of the sector. Use π = 3.14.
120°
11 mi
Answers
Answer:
Step-by-step explanation:
A box has twice as many grapes as a basket. Once 2kg of grapes were added to the basket, it contained 0.5 kg more than the box. How many kilograms of grapes are in the basket now?
Answers
By solving a system of equations, we will see that now there are 3.5kg of grapes on the basket.
How many kilograms of grapes are in the basket now?Let's define the variables:
x = kg of grapes on the box originally.y = kg of grapes on the basket originally.We know that:
x = 2y
When we add 2kg to the basket, it has 0.5k more than the box, then:
y + 2 = x + 0.5
Then we have a system of equations:
x = 2y
y + 2 = x + 0.5
We want to solve this for y, then we can replace the first equation into the second one:
y + 2 = (x = 2y) + 0.5
y + 2 = 2y + 0.5
2 - 0.5 = 2y - y
1.5 = y
This means that, originally, there are 1.5 kg of grapes on the basket. And then we added 2kg, so now there are:
1.5kg + 2kg = 3.5kg
If you want to learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Answer:
There are now 3.5kg of grapes.
Air pressure may be represented as a function of height above the surface of
the Earth as shown below.
P(h) = Pe-.00012h
In this function, Po is air pressure at sea level, and his measured in meters.
Which of the following equations will find the height at which air pressure is
75% of the air pressure at sea level?
OA..75P, Pe
-.00012h
- .00012h
OB. Po=.75Pe
O c..75=h.e-.00012
OD. h= .75e00012
Answers
Answer:
A
Step-by-step explanation:
75% of the air pressure at sea level is simply
0.75 × Po
this is what we need to set as the expected result of the function, and it becomes the left side of the equation.
we don't change anything on the right side for this, as the full, unchanged function has to be used to find the h for the desired result.
The range of Y = x³ is
Answers
Answer:
(-2,-8)
(-1,-1)
(0,0)
(1,1)
(2,8)
Step-by-step explanation:
y = x^3
y = -2^3
= -8
y = -1^3
= -1
y = 0^3
= 0
y = 1^3
= 1
y = 2^3
= 8
3. What additional information do you need to prove AABC = ADEF by the SAS Postulate?
Answers
Answer:
∠ACB = ∠DFE
Step-by-step explanation:
In SAS postulate,
S refers to Side.
A refers to Angle.
In the triangles, △ABC and △DEF,
AC = DF ( Side )
CB = FE ( Side )
The additional information required to prove is Angle.
Angle between sides AC and CB in △ABC and Angle between sides CB and FE in △DEF respectively.
Angle between sides AC and CB is ∠ACB.
Angle between sides CB and FE is ∠DFE.
So according to SAS postulate,
∠ACB = ∠DFE
Find two negative odd integers such that 5 times the first plus the square of the second equals -14
Answers
The two negative odd integers such that 5 times the first plus the square of the second equals -14 are: -3 and -1.
What are negative odd integers?In a multiplication or division issue, an odd number of negatives will always result in a negative odd integer.
A negative odd integer carries a negative sign and is not exactly divisible by 2.
According to the question, an equation can be formed as follows:
[tex]5a+b^{2}=-14[/tex]
Here, a and b are the two negative odd integers.
Let a= -3 and b= -1,
[tex]5a+b^{2}=5(-3)+(-1)^{2}\\[/tex]
= -15+1
= -14
Thus, the required negative odd integers are -3 and -1.
Learn more about negative odd integers here:
https://brainly.com/question/24909793
#SPJ4
76.Real-World Applications
A cell phone company offers two plans for minutes. Plan A: $15 per month and $2 for every 300 texts. Plan B: $25 per month and $0.50 for every 100 texts. How many texts would you need to send per month for plan B to save you money?
Answers
Answer:
For plan B to save money cell phone user need to send 6000 texts per month as [tex]$\frac{x}{y}$[/tex] expresses the average texts sent per month by cell phone user and its obtained value is 6000.
Step-by-step explanation:
In the question it is given that a cell phone company offers two plans for minutes.
Plan A: $15 per month and $2 for every 300 texts.
Plan B: $25 per month and $0.50 for every 100 texts.
It is required to find that how many texts would be needed to send per month for plan B to save money. be needed to send per month for plan B to save money.
Step 1 of 6
In Plan A $15 per month and $2 for every 300 texts are costed so the cost of Plan [tex]$\mathrm{A}$[/tex] is given by following equation,
[tex]$A=15 y+\frac{2 x}{300}$[/tex]
In Plan B [tex]$\$ 25$[/tex] per month and [tex]$\$ 0 \cdot 50$[/tex]for every 100 texts are costed so the cost of Plan B is given by following equation,
[tex]$B=25 y+\frac{0 \cdot 50 x}{100}$[/tex]
Step 2 of 6
Now comparing the obtained equations [tex]$A=15 y+\frac{2 x}{300}$[/tex]
and [tex]$B=25 y+\frac{0 \cdot 50 x}{100}$[/tex]
[tex]$15 y+\frac{2 x}{300}=25 y+\frac{0 \cdot 50 x}{100}$[/tex]
Step 3 of 6
Subtract $15 y$ from both the sides of the obtained equation [tex]$15 y+\frac{2 x}{300}=25 y+\frac{0 \cdot 50 x}{100}$[/tex] and simplify using subtraction properties.
[tex]$$\begin{aligned}&15 y+\frac{2 x}{300}-15 y=25 y-15 y+\frac{0.50 x}{100} \\&\frac{2 x}{300}=10 y+\frac{1 x}{200}\end{aligned}$$[/tex]
Step 4 of 6
Subtract [tex]$\frac{x}{200}$[/tex] from both the sides of the obtained equation [tex]$\frac{2 x}{300}=10 y+\frac{1 x}{200}$[/tex] and simplify using subtraction properties.
[tex]$$\begin{aligned}&\frac{2 x}{300}-\frac{x}{200}=10 y+\frac{1 x}{200}-\frac{x}{200} \\&\frac{x}{600}=10 y\end{aligned}$$[/tex]
Step 5 of 6
Multiply both the sides of the obtained equation [tex]$\frac{x}{600}=10 y$[/tex] by 600 and simplify using multiplication properties.
[tex]$$\begin{aligned}&\frac{x}{600} .600=10 y .600 \\&x=6000 y\end{aligned}$$[/tex]
Step 6 of 6
Divide both the sides of the obtained equation x=6000 by y and simplify using division properties. As [tex]\frac{x}{y}[/tex] expresses the average texts sent per month by cell phone user. So, for plan B to save money cell phone user need to send 6000 texts per month.
[tex]$$\begin{aligned}&\frac{x}{y}=\frac{6000 y}{y} \\&\frac{x}{y}=6000\end{aligned}$$[/tex]
a pole that is 3m tall casts a shadow that is 1.72m long. at the same time, a nearby building casts a show that is 50.5 m long. how tall is the building
Answers
Answer:
88.08 m tall
Step-by-step explanation:
Pole:
tall/long
3/1.72
Building:
tall/long
x/50.5
Solve for x:
3/1.72 = x/50.5
1.72x = 151.5
x ≈ 88.08
Ravi makes lemonade by mixing lemon juice and water.
For every 1 cup of lemon juice, he uses 4 cups of water.
Drag the correct number of each ingredient into the box that would make 10 cups of
lemonade.
Answers
Goofy's fast food center wishes to estimate the proportion of people in its city that will purchase its products. Suppose the true proportion is 0.07. If 313 are sampled, what is the probability that the sample proportion will be less than 0.04
Answers
The probability that the sample proportion will be less than 0.04 is 0.0188 or 1.88%.
The true proportion given to us (p) = 0.07.
The sample size is given to us (n) = 313.
The standard deviation can be calculated as (s) = √[{p(1 - p)}/n] = √[{0.07(1 - 0.07)}/313] = √{0.07*0.93/313} = √0.000207987 = 0.0144217.
The mean (μ) = p = 0.07.
Since np = 12.52 and n(1 - p) = 291.09 are both greater than 5, the sample is normally distributed.
We are asked the probability that the sample proportion will be less than 0.04.
Using normal distribution, this can be shown as:
P(X < 0.04),
= P(Z < {(0.04-0.07)/0.0144217}) {Using the formula Z = (x - μ)/s},
= P(Z < -2.0802)
= 0.0188 or 1.88% {From table}.
Thus, the probability that the sample proportion will be less than 0.04 is 0.0188 or 1.88%.
Learn more about the probability of sampling distributions at
brainly.com/question/15520013
#SPJ4
Solve for y.
6(y-9)=3y-36
Simplify your answer as much as possible.
y= ?
Answers
Answer:
The value of y after the given equation is simplified will be y=6Step-by-step explanation:
Greetings ![tex]6(y -9) = 3y-36...the \: given \: expression \\ 6y - 54 = 3y - 36...apply \: the \: distributive \: law \: a(b - c) = ab - ac \\ 6y - 54 + 54 = 3y - 36 + 54...add \: both \: sides \: 54 \\ 6y = 3y + 18 \\6y - 3y = 3y + 18 - 3y...subtract \: 3y \: from \: both \: sides \\ 3y = 18 \\ \frac{3y}{3} = \frac{18}{3} ...divide \: both \: sides \: by \: 3 \\ y = 6...simplified[/tex]
a bag contains Stephanie five marbles, some red some blue. The ratio of red marbles to blue ones is 3:2. how many red marbles are there?
Answers
Answer:
There are 3 red marbles.
Step-by-step explanation:
The ratio of red marbles to blue marbles is 3:2, so for every two blue marbles there are three red marbles. This means that there are three red marbles for every four marbles in the bag. Therefore, if there are five marbles in the bag, there must be three red marbles and two blue marbles.
Eduardo’s average speed on his commute to work was 55 miles per hour. On the way home, he hit traffic and only averaged 40 miles per hour. If the round trip took him 1. 25 hours, which expression represents the distance, in miles, for his trip home that is missing from the table?.
Answers
40(1.25-t) is missing from the table
Time, speed, and distance are the three factors must be taken into account.
How to solve such time related questions?
The key concept for solving such questions is the relationship between speed, distance and time.
The relationship between them is Distance = Speed X Time
We provide both time and speed.
It is necessary to compute the distance.
55 miles per hour is the commuter speed
Worktime equals 1.25-T
Home-bound speed is 40 miles per hour.
1.25 seconds to get home
Time in Total = T + t = 1.25
Travel distance to home
Distance/Time x Speed
40 = Total Distance/t
Distance overall = 40 (1.25-t)
As a result, 40(1.25-t) is the right response.
Learn more about time related questions :
https://brainly.com/question/12876231
#SPJ4
After 1 year, $70,060 deposited in a savings account with simple interest had grown to a total of $77,136.06. What was the interest rate?
Answers
Answer:
10.1%
Step-by-step explanation:
Interest = PRT/100
Interest = 77136.06 - 70060 = 7076.06
Interest = PRT/100
7076.06 = [(70060) × R × 1] / 100
7076.06 = 70060R/100
Cross multiply
(7076.06 × 100) = 70060R
707606 = 70060R
R = 707606/70060
R = 10.1%
Match the systems of equations with their solution sets.
Answers
Answer:
1. y + 12 = x^2 + x
2. y - 17 = x^2 -9x
3. y + 5 = x^2 - 3x
4. y - 15 = -x^2 + 4x
Need help with this!
Answers
Answer:
488
Step-by-step explanation:
Calculate 20% of their take-home pay
3600 * 0.20 = 720
They already pay 122 and 110 per month
720 - (122 + 110)
720 - 232
488
So the largest monthly car payment they can afford is 488
After taking 9 tests, Carol’s average grade in her Italian class is 90. Her teacher drops the lowest of the 9 test scores to determine the final grade. If Carol’s final grade is a 91, what was her lowest test score?
Answers
If Carol’s final grade is a 91, Carol's lowest test score was 82.
Given;
Average in 9 tests = 90
Average when the lowest score is removed = 91
How to calculate the average?The average or Mean is calculated as thus;
Average = [tex]\dfrac{\sum x}{n}[/tex]
Where the summation of x is the sum of test scores.
n = number of tests
n = 9 - 1 = 8 and average = 91
91 = [tex]\dfrac{\sum x}{8}[/tex]
[tex]\sum x = 91 \times 8\\\\\sum x = 728[/tex]
Thus, Carol's test score in 8 subjects is 728
Let's consider the 9th subject represent the subject Carol had the least score.
n = 9
Average = 90
Average = 728 + the 9th subject
Multiply both sides by 9
90 x 9 = 728 + the 9th subject
810 = 728 + the 9th subject
Subtract 728 from both sides
810 - 728 = 728- 728 + the 9th subject
82 = the 9th subject
Hence, Carol's lowest test score was 82.
Learn more about average;
https://brainly.com/question/17002194
#SPJ1
HELP GEOMETRY) Fill in the blanks:
Measure of angle GFJ is ___ degrees.
Measure of arc FH is ___ degrees.
Answers
Part 1
By the inscribed angle theorem, arc GFJ measures 55 degrees.
Part 2
By the inscribed angle theorem, arc FH measures 72 degrees.
Use the Pythagorean identity
to find sin x.
COS X =
sin x =
8
17
?
Enter
Answers
Answer:
[tex]sin\ x = \frac{15}{17}[/tex]
Step-by-step explanation:
So in this case, it's similar to the previous question you asked, except this time you know cosine, and as you may know cosine is defined as: [tex]\frac{adjacent}{hypotenuse}[/tex] and sine is defined as: [tex]\frac{opposite}{hypotenuse}[/tex]. So all we need to solve for is the opposite side, but since we know two sides, we can solve for the other using the Pythagorean identity: [tex]a^2+b^2=c^2[/tex]
Plug in known values:
[tex]8^2 + b^2 = 17^2[/tex]
Simplify:
[tex]64 + b^2 = 289\\b^2 = 225\\b = 15[/tex]
So the opposite side is 15, and the hypotenuse is already given, in this case it's 17 (the denominator of cosine). So plugging this into the definition of sin gives you: [tex]\frac{15}{17}[/tex]
Answer:
[tex] \frac{15}{17} [/tex]
Step-by-step explanation:
[tex] { \sin(x) }^{2} + { \cos(x) }^{2} = 1[/tex]
[tex] \cos(x) = 8 \div 17[/tex]
[tex] \sin(x) = \sqrt{1 - { \cos(x) }^{2} } [/tex]
[tex] \sin(x) = \sqrt{1 - {(8 \div 17)}^{2} } [/tex]
[tex] \sin(x) = 15 \div 17[/tex]
helppp solve step 2 and 3 pleasee quick
Answers
Answer:
Step-by-step explanation:
The triangles are congruent by the SSS congruence theorem.
Triangles A B C and F E D are shown. Triangle A B C is reflected across A C and then is shifted down and to the left to form triangle F E D.
Which rigid transformation(s) can map TriangleABC onto TriangleFED?
reflection, then dilation
reflection, then translation
rotation, then translation
rotation, then reflection
Answers
The rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
The correct option is (B).
What is Reflection?Reflection is a from of transformation whereby a figure is flipped over a line of reflection, making both figures exactly the same shape and size after the transformation.
given:
ΔABC ≅ ΔFED are congruent by the SSS Congruence Theorem.
Hence, the rigid transformations that maps ΔABC onto ΔFED by reflection then translation.
Learn more about this concept here:
https://brainly.com/question/27902358
#SPJ1
Answer:
B
Step-by-step explanation:
Trust me bro
An engineering firm designs a custom hexagonal screw for a computer board. A sketch of the top of the screw is below. To the nearest tenth,
what is the area of the screw head?
Answers
Given that the screw is a regular hexagon with side length 6 mm, the area of the screw is 93.5 mm^2
How can the area of the screw be found?The area of an hexagon can be found using the following equation;
[tex]A = \mathbf{ \frac{3 \cdot \sqrt{3} }{2} \times {a}^{2}} [/tex]
Where a = The side length
However the side lengths are not equal, and the figure is a composite figure with two triangles and one rectangle;
Base length of the triangles = 12
Height of the triangles = 3
Area of each triangle = 0.5 × 12 × 3 = 18
Width of the rectangle = 12
Height of the rectangle = 6
Area of the rectangle = 12 × 6 = 72
Area of the screw = 18 + 18 + 72 = 108
However taking the screw as a regular hexagon, with side length a = 6, we have;
[tex]A = \frac{3 \cdot \sqrt{3} }{2} \times {6 \: mm}^{2} = 93.5 \: mm^2 [/tex]
The correct option is D. 93.5 mm^2Learn more about finding the area of an hexagon here:
https://brainly.com/question/2919364
#SPJ1
horizontally compress the exponential function f(x)=2^x by a factor of 3
Answers
The horizontally compress the exponential function f(x)=2^x by a factor of 3 is f(3x)=2^3x
When we compress a function y=f(x) by a scale factor of 'k', where k >1, then the function after compression will become :
y=f(x), where k>1
We have given the Exponential function.
What is the scale factor?
The scale factor is a measure for similar figures, that look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
The scale factor of the compression (k): 5
Then after horizontal compression, the exponential function will become
f(3x)=2^3x
To learn more about the exponential function visit:
https://brainly.com/question/12940982
#SPJ1
= Homework: Special Right Triangles (8.2)
Find the value of each variable.
30°
46
y
X= and y =
(Simplify your answers. Type exact answers, using radicals as needed.)
I really need help!!!
Answers
Answer:
[tex]x=23, y=23\sqrt3[/tex]
Step-by-step explanation:
Since this triangle is half an equilateral triangle, x is half of 46 = 23
Use Pythagoras to solve y.
23^2 + y^2 = 46^2
[tex]y=23\sqrt3[/tex]