Measure of an angle = x
Measure of another angle = x - 143.4
Each angle is the supplement of the other angle .
Which means :-
[tex]x + x - 143.4= 180[/tex]
[tex]2x - 143.4 = 180[/tex]
[tex]2x = 180 + 143.4[/tex]
[tex]2x = 323.4[/tex]
[tex]x = \frac{323.4}{2} [/tex]
[tex]\color{hotpink}x = 161.7[/tex]
Then :-Measure of the first angle :-
[tex]\color{hotpink} = 161.7°[/tex]
Measure of the second angle :-
[tex] = x - 143.4[/tex]
[tex] = 16.7 - 143.4[/tex]
[tex]\color{hotpink} = 18.3°[/tex]
As the sum of the measure of each angle adds up to 180° (161.7+18.3=180) , we can conclude that we have found out the correct value of each of the angles .
Therefore , the measure of the first angle is = 161.7° and the measure of it's supplementary angle is = 18.3° .
slope-intercept from two points (4,-8) and (8,5)
Here you go :)
Slope is equal to the change in y over the change in x or rise over run:
m = change in y/change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):
m=y2−y1/x2−x1
Substitute in the values of x and y into the equation to find the slope:
m=5−(−8)/8−(4)
Simplify:
m=13/4
Substitute the value of m into the slope-intercept form of the equation, y = m x + b :
y=(13/4)x+b
Substitute the value of x into the slope-intercept form of the equation, y = m x + b .
y = ( 13/ 4 ) ⋅ ( 4 ) + b
Substitute the value of y into the slope-intercept form of the equation, y = m x + b .
− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b
Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .
( 13/ 4 ) ⋅ ( 4 ) + b = − 8
Cancel the common factor.
13/ 4 ⋅ 4 + b = − 8
Rewrite the expression.
13 + b = − 8
Move all terms not containing b to the right side of the equation.
b = − 21
The values of the slope and y-intercept are m = 13 4 and b = − 21 .
m = 13 4
b = − 21
________
Answered by James
how do yo solve 46x3 as the distributive property?
Answer:
138
Step-by-step explanation:
The distributive property of multiplication over addition can be used when you multiply a number by a sum. For example, suppose you want to multiply 3 by the sum of 10 + 2. 3(10 + 2) = ? According to this property, you can add the numbers and then multiply by 3.
Answer:
4(6x+3) in distributive property.
Step-by-step explanation:
LESSON 5: Rational Numbers LEARNING TASK # 2 Score__________ Name:Joseph Sebastian Usi Section:7-Callalily Direction: Perform the indicated operations. 1.34+914=____221_____________ 2. 16+34=______45___________ 3. 46+418=_________220________ 4. 45-615=2 ________________ 5. 25-36=_________________ 6. 37 x 45=_________________ 7. 58x (-53)=_________________ 8. 3425=_________________ 9. 910÷(-45)=_________________ 10. 367 x 225=_________________
Answer:
1. 221+ 727
2. 45+5
3. 220+ 244
4. 2( -285)
5. (-9)
6. 1665 (multiplying)
7. -3074 (multiplying)
8. 685 *5
9. - 20 2/9
10. 82575 (multiplying)
Step-by-step explanation:
1.34+914=____221_____________
948 = 221+ 727 (subtracting 221 from 948)
2. 16+34=______45___________
50= 45+5 ( adding 5 to 45 to get 50)
3. 46+418=_________220________
464= 220+ 244 ( subtracting 220 from 464)
4. 45-615=2 ________________
- 570 = 2( -285) (dividing -570 by 2)
5. 25-36=_________________ (-9)
-9 = -9 ( subtraction)
6. 37 x 45=_________________ 1665 (multiplying)
7. 58x (-53)=_________________ -3074 (multiplying)
8. 3425=_________________ 685 *5 (dividing by 5)
9. 910÷(-45)=_________________ 182/ (-9) (dividing both by 5)
= - 20 2/9
10. 367 x 225=_________________ 82575 (multiplying)
Luis and Raul are riding their bicycles to the beach from their respective homes. Luis proposes that they leave their respective homes at the same time and plan to arrive at the beach at the same time. The diagram shows Luis's position at two points during his ride to the beach. Write an equation in slope-intercept form to represent Luis's ride from his house to the beach. If Raul lives 5 miles closer to the beach than Luis, at what speed must Raul ride for the plan to work?
If x represents the time in hours since the ride began and y represents the remaining distance from the beach, then the equation
_____
represents Luis's ride from his house to the beach.
Answer:
equation: y=-7.5x+15 and Raul must ride at a speed of 5 mi/hr
Step-by-step explanation:
[tex]\frac{y2-y1}{x2-x1}[/tex] to find out the slope. [tex]\frac{6-11.25}{1.2-0.5}[/tex]=[tex]\frac{-5.25}{0.7} = -7.5[/tex]
Then you fill x and y to find out the y intercept
[tex]11.25=-7.5*0.5+b[/tex]
[tex]11.25=-3.75+b\\11.25+3.75=15\\[/tex]
Y intercept= 15
then you put it in the equation:
y=-7.5x+15
Since Raul lives 5 miles closer and Luis is 5 miles away, he needs to go at 5 miles an hour to get to the spot.
That is 5 miles/hour
The distance and time, as presented in this question are illustrations of linear equations.
The linear equation is: [tex]y = -7.5x + 15[/tex]He must plan to ride at 4.5 miles per hour, if he lives 5 miles closerFrom the diagram, we have:
[tex](x_1,y_1) = (0.5,11.25)[/tex]
[tex](x_2,y_2) = (1.2,6)[/tex]
Start by calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{6 - 11.25}{1.2 - 0.5}[/tex]
[tex]m = \frac{-5.25}{0.7}[/tex]
[tex]m = -7.5[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -7.5(x - 0.5) + 11.25[/tex]
[tex]y = -7.5x + 3.75 + 11.25[/tex]
[tex]y = -7.5x + 15[/tex]
Calculate distance, when [tex]x = 5[/tex]
We have:
[tex]y = -7.5 \times 5 + 15[/tex]
[tex]y = -22.5[/tex]
The speed (s) is then calculated as:
[tex]s = \frac{22.5}{5}[/tex]
[tex]s = 4.5[/tex]
Hence, he must plan to ride at 4.5 miles per hour
Read more about linear equations at:
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Take these points but pls answer my other question:
https://brainly.com/question/18304671
or go to my acc and my questions.
Answer:
Thank U
Step-by-step explanation:
Answer:
thx
Step-by-step explanation:
PLEASE HELP!! Brainliest to first answer
Part A: An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation() = −5^2 + 20 + 4. Where t is time in seconds and f(t) is height in feet. Find how long it will take the arrow to hit the ground using an algebraic method. Round to the nearest tenth if necessary. Show all of your reasoning used with this algebraic method.
Part B: Using the information in Part A, find how high the arrow will go at its maximum height, and how long it takes for this to occur using an algebraic method. Show all of your reasoning used with this algebraic method. Round to the nearest tenth if necessary.
Answer:
The arrow will take 4.19 seconds to hit the ground
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
Step-by-step explanation:
The quadratic function is f(t) = -5t² + 20t + 4, where
f(t) is the height in feet
t is the time in seconds
If the arrow hit the ground that means h(t) = 0
→ Substitute h(t) by 0 and use the quadratic formula to find t
∵ h(t) = 0
∴ 0 = -5t² + 20t + 4
→ Switch the two sides
∴ -5t² + 20t + 4 = 0
→ Multiply all terms by -1 to make the coefficient of t² positive
∴ 5t² - 20t - 4 = 0
→ The quadratic formula is [tex]t=\frac{-b+-\sqrt{b^{2}-4ac}}{2a}[/tex] , where
a is the coefficient of t²b is the coefficient of tc is the numerical term∵ a = 5, b = -20, c = -4
∴ [tex]t=\frac{-5+-\sqrt{(-20)^{2}-4(5)(-4)}}{2(5)}[/tex]
∴ [tex]t=\frac{-5+-\sqrt{400+80}}{10}[/tex]
→ Find the values of t in decimal
∴ t = 4.19 seconds OR t = -0.19 ⇒ refused because it is negative
∴ The arrow will take 4.19 seconds to hit the ground
The graph of this quadratic function is a parabola with maximum vertex (h, k), where
h = [tex]\frac{-b}{2a}[/tex]k = f(h)To find the maximum height and the time taking for this to occur find h and k where k is the maximum height and h is the time for this to occur
∵ f(t) = -5t² + 20t + 4
∵ a = -5 and b = 20
∴ h = [tex]-\frac{20}{2(-5)}=-\frac{20}{-10}=2[/tex]
∴ The time for the maximum height is 2 seconds
→ Now use it to find k
∵ k = f(h)
∴ k = f(2)
∵ f(2) = -5(2)²+ 20(2) + 4
∴ f(2) = -5(4) + 40 + 4
∴ f(2) = -20 + 40 + 4
∴ f(2) = 24
∴ k = 24
∴ The maximum height is 24 feet
The arrow will go 24 feet to reach its maximum height and it takes 2 seconds to reach this height
YALLL PLZZZZ HELPPPP ANYBODYYYYY I DONT GET THIS
Answer:
121
Step-by-step explanation:
74+47=121
180-121=59
59+x=180
x=121
what is the greatest common factor shared by 51 and 21
Express the following equation in slope-Intercept form: 8x + 11y= Select the best answer from the choices provided. ОА. 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD 8
Answer: 18 OB. 8 x + -10 oc. 11 x + 12.45 8 OD= 8
Step-by-step explanation: It is simple math-
Which of the following is an example of a
set of like terms?
a. {197, 19,y}
b. {18x, -X, 21x}
c. {15, 20, 25y}
d. {-2x, -2y, -2xy)
In the table shown, the ratio of miles biked to hours biked is constant.
Answer:
B
Step-by-step explanation:
You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.
The proportion 44/4=m/7 can be used to determine the value of m.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
The ratio of miles biked to hours biked is constant.
The given table is
Miles biked 11 44 m 132 165
Hours biked 1 4 7 12 h
We have to find the value of m.
m is the number of miles biked in 7 hr.
By using the proportion we can find m.
44/4=m/7
11=m/7
Apply cross multiplication
m=77
Hence, the proportion 44/4=m/7 can be used to determine the value of m.
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hellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppp
Answer:
A has 25 yd on each side and B has 16 ft each side. Please mark Brainliest since I was the first one to respond
Step-by-step explanation:
Answer: (a) 25yd.
(b) 8 ft
Step-by-step explanation:
(a) Since each side of the square are equivalent and there are four sides of a square. So you do 100÷4=25
(b)The formula for a square is A=bh.
Since 8x8=64.
What is (5+3i) - (2-8i) give your answer in standard form
Answer:
5+3i-2+8i
(5-2)+(3+8)i
3+11i
4> 9 + 10
whats the anwsers?
Answer:
4>19
The statement is false 4 is not bigger than 19.
50.008-18 3/4
????????????????
Answer:
31.258 :)
Step-by-step explanation:
Please help I’m confused. Thanks ;)
Answer: a. AB = 15cm long. b. AB = 11.1cm long. c. AB = 3/5cm long.
d. AB = 3 cm long.
Step-by-step explanation:
Sewing patterns recommend buying extra fabric in case of mistakes. Jessica bought 5 yards of fabric , plus 20 % extra . How much fabric did Jessica buy ?
Answer:
Jessica bought 2.25 yards more material than Derek.
Step-by-step explanation:
choose the best decimal equivalent to 14/25.
Answer:
0.56
Step-by-step explanation:
To find the decimal equivalent, we can divide the numerator and denominator together.
14 ÷ 25 = 0.56
Best of Luck!
Multiply. Express your answer in simplest form.
5/6 x 15
Answer: 12 1/2
Step-by-step explanation:
You bought 100 shares of stock at $15 per share. You sold your 100 shares at $21.75 per share. Calculate your total profit from the sale.
Answer:
$675
Step-by-step explanation:
You multiply 15 and 100 answer for that is 1500 then you multiply 21.75 and 100 answer for that is 2175 finally you subtract 1500 from 2175 witch gives you the final answer of 675
Total profit from the sale of 100 shares is equals to $675.
What is profit?
" Profit is the amount of money or revenue which we earned when selling price of a product is more than its cost price."
Formula used
Profit = Selling price - Cost price
According to the question,
Cost price of 1 share = $15
Therefore,
Cost price of 100 shares = 15 × 100
= $1500
Selling price of 1 share = $21.75
Selling price of 100 shares = 21.75 ×100
= $2175
Selling price > Cost price
Therefore , Profit
Substitute the value in the formula we get,
Profit = 2175 - 1500
= $675
Hence, total profit from the sale of 100 shares is equals to $675.
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Which number is rational?
A. -2.1010010001...
B. -0.8974512...
C. 1.3547569...
D. 5.3333333...
HELP!!!!
Which number is equivalent to the fraction 15/7? 2
2 1/7
7/15
1 8/7
Answer:
2 1/7
Step-by-step explanation:
Answer:
2 1/7, is 15/7(improper fraction) as a mixed fraction, and
1 8/7 is an improper mixed fraction equivilent to 2 1/7.
Step-by-step explanation:
15/7 = 7/7 + 7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
1 8/7 = 1 + 8/7 = 1 +7/7 + 1/7 = 1 + 1 + 1/7 = 2 1/7
Another neighbor said, “My age is the difference between twice my age in 5 years and and twice my age 5 years ago.” How old is this neighbor? A third neighbor had the same claim for 17 years from now and 17 years ago. How old is this neighbor?
Answer:
The neighbor is 20 years old.
The third neighbor is 68 years old.
Step-by-step explanation:
Equations
Let's set:
x=current age of the neighbor
x+5=his age in 5 years
x-5=his age 5 years ago
He claims that his age is the difference between twice his age in 5 years and twice his age 5 years ago. Then:
x = 2( x + 5 ) - 2( x - 5 )
Operating:
x = 2x + 10 - 2x +10
Simplifying:
x = 20
The neighbor is 20 years old.
Repeating for the other neighbor, a similar equation is established:
x = 2( x + 17 ) - 2( x - 17 )
Operating:
x = 2x + 34 - 2x +34
Simplifying:
x = 68
The third neighbor is 68 years old.
click on the pic and help asap
Answer:
41°
Step-by-step explanation:
180°- 63° - 76° = 41°
Analyzing Angle Pair Relationships Parallel lines p and q are cut by transversal r. On line p where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 1, 2, 4, 3. On line q where it intersects with line r, 4 angles are created. Labeled clockwise, from the uppercase left, the angles are: 5, 6, 8, 7. m∠3 is (3x + 4)° and m∠5 is (2x + 11)°. Angles 3 and 5 are . The equation can be used to solve for x. m∠5 = °
Given:
Parallel lines p and q are cut by transversal r.
m∠3=(3x + 4)° and m∠5=(2x + 11)°.
To find:
The relation between ∠3 and ∠5, then find the measure of angle 5.
Solution:
Parallel lines p and q are cut by transversal r as shown in the below figure.
From the figure it is clear that ∠3 and ∠5 are alternate interior angle. So, the values of these angles are equal.
[tex]m\angle 3=m\angle 5[/tex]
[tex](3x+4)^\circ=(2x+11)^\circ[/tex]
[tex]3x+4=2x+11[/tex]
Therefore, the required equation to solve for x is [tex]3x+4=2x+11[/tex].
Isolate variable terms.
[tex]3x-2x=11-4[/tex]
[tex]x=7[/tex]
The value of x is 7.
Now,
[tex]\angle 5=(2x+11)^\circ[/tex]
[tex]\angle 5=(2(7)+11)^\circ[/tex]
[tex]\angle 5=(14+11)^\circ[/tex]
[tex]\angle 5=25^\circ[/tex]
Therefore, the measure of angle 5 is 25°.
Jefferson high school has 100 less than 5 times As many Students as Taft high school how many students are at Jefferson high school if Taft high school has 300 students
Answer:
1,400
Step-by-step explanation:
300x5=1,500 and 1,500-100=1,400
given the diagram below, if e||f, m<=35°, m<2=95°, m<3=85°, and m<4= 155°, which statements are true? check all that apply
Answer:
the first answer and the last one
what is the expression -3(4k-8) simplified
Answer:
-12k + 24
Step-by-step explanation:
-3 × -8 = 24
-3 × 4k = -12k
multiple of 3 between 2 and 20
Answer:
6, 9, 12, 15, and 18
Step-by-step explanation:
Order decimals from least to greatest .. 1.09, 1.901,1.9,1.19
Answer:
1.09,1.19,1.9,1.901
Answer:
1.09, 1.19, 1.9 ,1.901
Step-by-step explanation: