Answers
Answer:
x-10+2x+5+35=180
3x-5+35=180
3x=180-50
x=150÷3
x=50
Therefore option D is write answer
Answer:
D (x = 50°)
Step-by-step explanation:
Angles in a triangle add up to 180°.
∴ (2x + 5)° + (x - 10)° + 35° = 180°
2x + x + 5 - 10 + 35 = 180
3x + 30 = 180
3x = 150
x = 50°
Hope this helps!
Related Questions
Please solve this puzzle
Answers
Answer:
a = 25 m²
b = 5 m
c = 7.94 m
d = 35.73 m²
Code: H I A B
Step-by-step explanation:
Formulae
Pythagoras’ Theorem: [tex]a^2+b^2=c^2[/tex]
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Area of a square = x² (where x is the side length)
------------------------------------------------------------------------------------------------------
Assuming that all the quadrilaterals are squares.
Side length of blue square with area 16 m² = √16 = 4 m
Side length of yellow square with area 9 m² = √9 = 3 m
Use Pythagoras' Theorem to find the length of b:
[tex]\implies 4^2+3^2=b^2[/tex]
[tex]\implies b^2=25[/tex]
[tex]\implies b=\sqrt{25}[/tex]
[tex]\implies b=5\: \sf m[/tex]
Now we have found length b, we can find area a:
[tex]\textsf{Area a}=b^2=5^2=25\: \sf m^2[/tex]
Side length of purple square with area 144 m² = √144 = 12 m
Side length of green square with area 81 m² = √81 = 9 m
Use Pythagoras' Theorem to find the length of c:
[tex]\implies 9^2+c^2=12^2[/tex]
[tex]\implies c^2=63[/tex]
[tex]\implies c=\sqrt{63}[/tex]
[tex]\implies c=3\sqrt{7}[/tex]
[tex]\implies c=7.94\: \textsf{(nearest hundredth)}[/tex]
Now we have found length d, we can find area d:
[tex]\textsf{Area d}=\dfrac{1}{2}(9)(7.94)=35.73\: \sf m^2[/tex]
Code: H I A B
Find b
√16+9√255#a
Area
b²5²25m²H
#b
Done already
I#c
√144-81√63c=7.94A
#d
1/2(7.94)(9)35.73m²B
Code is
HIABcan you help me solve this equation? 20 POINTS
Answers
Answer:
x = 63
Step-by-step explanation:
In [tex]\odot \:O, [/tex] ML and MN are tangents from external points M at points L and N respectively. OL and ON are radii of the circle.[tex]\implies ML\perp OL,\:\&\: MN \perp ON[/tex] (By tangent theorem)[tex]\implies m\angle MLO = m\angle MNO = 90\degree[/tex][tex]m\angle LON = 117\degree[/tex] (Given)In quadrilateral LMNO, by interior angle sum theorem, we have:[tex] m\angle LON+m\angle MOL +m\angle MON +m\angle LMN= 360\degree[/tex][tex] \implies 117\degree+90\degree +90\degree +x\degree= 360\degree[/tex][tex] \implies 297\degree+x\degree= 360\degree[/tex][tex] \implies x\degree= 360\degree-297\degree[/tex][tex] \implies x\degree= 63\degree[/tex][tex] \implies\red{\boxed{\bold{ x= 63}}}[/tex]Answer:
63°
Step-by-step explanation:
The central angle is 117°The angles at the tangent are 90° each (property of tangents)Applying the Angle Sum of Quadrilaterals,
117° + 2(90°) + x° = 360°180° + x° = 243°x° = 63°A 13-foot ladder is leaning against a building, forming a right triangle.
The height where the ladder touches the building is seven feet more
than the distance from the base of the ladder to the building. At what
height does the ladder touch the building?
Answers
The height from the ground at which the ladder touched the building is 12feet.
What is a right-angled triangle?A right-angled triangle is a type of triangle that has three sides and one of its three angles as 90°.
Analysis:
The ladder length, height of the ladder from the ground, and the distance of the foot of the ladder from the foot of the building form a right angle triangle.
let x, be the distance from the foot of the building to the foot of the ladder.
x+7 = height of ladder from building to foot of building.
length of ladder = 13 feet
using Pythagoras, we have
[tex](13)^{2}[/tex] = [tex]x^{2}[/tex] + [tex](x+7)^{2}[/tex]
169 = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] + 7x + 7x + 49
169 = 2[tex]x^{2}[/tex] + 14x + 49
2[tex]x^{2}[/tex] + 14x = 169-49
2[tex]x^{2}[/tex] + 14x = 120
divide through by 2
[tex]x^{2}[/tex] + 7x - 60 = 0
[tex]x^{2}[/tex] +12x -5x - 60 = 0
(x+12) -5(x+12) = 0
(x+12)(x-5) = 0
x = -12 or 5
Since measurement cannot be negative, therefore x = 5
Height the ladder touches the building is x+7 = 5+7 = 12 feet
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A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish in feet?
Answers
18-12 is 6 then add 45 to it, it’s obviously 51 foot this is 3rd grade math
The radius of a small ornament in the shape of a sphere is 2 inches. what is the approximate volume of the ornament? use 3.14 for pi. round to the nearest tenth of a cubic inch. recall the formula v = four-thirds pi r cubed. inches cubed
Answers
Answer: 33 is your answer my love.
Step-by-step explanation: Hope this helps.
Answer:
33 give the guy above me branliest
Step-by-step explanation:
I need help, question is in image.
Answers
Answer:
[tex]9 > x > - 4[/tex]
9 is greater than x and -4 is less than x
Answer:
- 4 < x < 9
Step-by-step explanation:
given 9 is greater than x then x is less than 9 and - 4 < x , so
- 4 < x < 9
I am thinking of a number. I multiply it by 8 and subtract 56.
I get the same answer if I multiply by 5 and subtract 8
What is my number?
Answers
Answer:
16
Step-by-step explanation:
[tex]8x-56=5x-8\\\\3x-56=-8\\\\3x=48\\\\x=16[/tex]
So, the number is 16
Some newer phones provide a screen time summary, which shows the amount of screen time for a user in a given week. A student would like to estimate the mean screen time for all phone users. She asks a random sample of 50 students at her school to share their screen time for the past 24 hours. The mean screen time for the chosen students is 2.73 hours. Which statement is an appropriate interpretation of the results?
A.)All students probably have screen times close to 2.73 hours.
B.)To obtain a better estimate of mean screen time, more students should be surveyed.
C.)Because of undercoverage, 2.73 likely underestimates the mean screen time of all phone users.
D.)2.73 hours is a suitable estimate for mean screen time of all phone users because a random sample was taken.
Answers
Answer:
c
Step-by-step explanation:
got it right on edge
Angle C is inscribed in circle O. AB start overline, A, B, end overline is a diameter of circle O. What is the measure of \angle B∠Bangle, B?
Answers
The measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.
In the image attached below:
Angle C is inscribed in circle O. AB is a diameter of circle O.The measure of the angle A is,
[tex]m\angle A=71^o[/tex]
The measure of the angle C in a semicircle is,
[tex]m\angle C=90^o[/tex]
The sum of all the angle(interior) of a triangle is equal to the 180 degrees. Thus,
[tex]\angle A+\angle B+\angle C=180\\90+\angle B+71=180\\\angle B=180-90-71\\\angle B=19^o[/tex]
Thus, the measure of ∠angle B when Angle C is inscribed in circle O and AB is a diameter of circle O, is 19 degrees.
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The coordinates of a parallelogram are given segment AB is parallel to the x-axis determine the values for a,b,c,d
Answers
Answer:
a=3 d=1 b and c cant be solved
Step-by-step explanation:
because segment AB is parallel to x axis . So the slope of ABco is 0. So the y value is congruent
a=3 d=1
We know AB=CO b+2=8-C
we can only find ad, but we could not get b,c
Which biconditional statement is NOT true?
Answers
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides.
What is a Biconditional Statement?A biconditional statement is one of the logical statements that contain the words "if and only if."
A biconditional statement is true for p ⇔ q provided that both p and q have an exact truth value, and it is false if otherwise.
The biconditional statement that is not true from the given option is "a triangle is equilateral if and only if it has three sides. For a triangle to be equilateral, it is supposed to have three equal angles and three equal sides.
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Answer:
A quadrilateral is rectangle if and only if it has at least two right angles
Step-by-step explanation:
IMAGINE mATH!
A cosmetologist conducted a survey to see which color hair was most popular among her customers. She surveyed 160 people. The results are shown in this circle chart.
How many more customers chose brown than red?
24 customers
35 customers
40 customers
88 customers
Circle graph titled Hair Color showing colors by percentage. Sectors are labeled Brown, 40 percent. Red, 15 percent. Black, 25 percent. Blonde, 20 percent.
Answers
Answer:
40 customers
Step-by-step explanation:
40% brown,
25% black
20% blonde
15% red
100% = 160
(40* 160)/ 100
6400 / 100 = 64
40% = 64 customers
(15 * 160)/100
2400/100 = 24
15% = 24 customers
64 customers - 24 customers =40 customers.
a triangle ABC like the one below suppose that a=40, B = 62 and c= 23 (the figure is not drawn to scale) solve the triangle carry your intermediate computations to at least four decimal places , and round your answers to the nearest tenth . if there is more than one solution , use the button labeled "or"
Answers
Answer:
Answer:
A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Cosine Law
a² = b²+c²-2bc cos A
b² = c²+a² -2ca cos B
Sum of three angles of a triangle is 180°.
a = 34 ; b= 53; c = 74
Substituting the given values in the cosine law, we have
34² = 53² + 74² - 2*53 *74 * cos A
7844 cos A = 2809 + 5476 - 1156 = 7129
cos A = 7129/7844 = 0.9088
A = cos⁻¹ (0.9088) = 24.6600° = 24.7°
53² = 74² + 34² - 2 (74)(34) cos B
5032 cos B = 5476 + 1156 - 2809 = 3823
cos B = 3823/5032 = 0.7597
B = cos⁻¹ (0.7597) = 40.5622° = 40.6°
Also, A + B + C = 180°
24.7 + 40.6 + C =180
C =180 - 65.3 = 114.7°
∴ A =24.7° ; B = 40.6° ; C =114.7°
Step-by-step explanation:
Im not sure if it is right. But hope it helps
please help me with this
Answers
Answer:
In the explanation
Step-by-step explanation:
AB = line segment
ABC = angle
AB = line segment
CD = intersecting line
AC = line segment
AB = line segment
EBC = angle
BC = line segment
Which of the following is in standard form of quadratic?
Answers
One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. What was the afternoon temperature? Show your work.
Answers
18-20=-2
18-18=0
20-18=2
0-2=-2
One morning the temperature in Bangor, Maine was 18 degrees. By afternoon, it had dropped 20 degrees. The afternoon temperature in Bangor, Maine, was -2 degrees.
To find the afternoon temperature, we need to subtract 20 degrees from the morning temperature of 18 degrees.
Afternoon temperature = Morning temperature - Temperature drop
Afternoon temperature = 18 degrees - 20 degrees
To perform the subtraction, we have to handle negative numbers:
Afternoon temperature = 18 degrees - 20 degrees
Afternoon temperature = -2 degrees
So, the afternoon temperature in Bangor, Maine, was -2 degrees.
To know more about temperature here
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please tell me the answers of. the question please
Answers
Answer:
1%
Step-by-step explanation:
Money spent by the stationer :
100 books x 80 rupees8000 rupeesMoney earned (after donation and sales) :
Donated 10 books = 0 rupeesSold rest at 88 rupees per book90 books x 88 rupees7920 rupeesHere, the money spent is more than the money earned. Hence, we have to find the loss percentage.
Loss % = New - Old / OldLoss % = 7920 - 8000 / 8000Loss % = -80/8000Loss % = -1/100
The loss percentage is 1%
[tex]\huge\color{yellow}\underline \colorbox{violet} {\color{red}{QUESTION}}[/tex]
need answer guys
Answers
Answer:
26. c. 6 cm
27. c. 70 cm³
Step-by-step explanation:
Question 26
Volume = Length × Width × Height360 = 10 × 6 × WidthWidth = 6 cmc. 6 cmQuestion 27
Volume = Length × Width × HeightVolume = 7 × 5 × 2Volume = 70 cm³c. 70 cm³Question 28 (not entirely visible)
Solve:
1)
Find Width
10 * W * 6 = 360
W = 360/60
W = 6 cm
2)
Volume
LWH
(2)(7)(5)
70 cm³
3)
Volume
LWH
(7)(3)(4)
84 m³
An equilateral triangle has all sides the same length and all angles the same measure.
Which is the measure of one angle of an equilateral triangle?
30°
45°
60°
90°
Answers
Let measure of each angle be x
In triangle , we know that sum of angles is 180°
In equilateral triangle , all angles are equal
So our angles are x , x , x
=> x + x + x = 180°
=>3x= 180°
=> x = 180/3
=> x = 60°
Option 3 is correct
Hope this explanation helps you :)
Have a good day :)
Use definition of a derivative to compute the derivative of g(x)= 1/3x^2
Answers
If g(x) = 1/(3x²), the by the definition of the derivative, we have
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{g(x+h) - g(x)}h[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac1{3(x+h)^2} - \frac1{3x^2}}h[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{\frac{x^2}{3x^2(x+h)^2} - \frac{(x+h)^2}{3x^2(x+h)^2}}h[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - (x+h)^2}{3x^2(x+h)^2h}[/tex]
[tex]\displaystyle g'(x) = \lim_{h\to0} \frac{x^2 - x^2 - 2xh - h^2}{3x^2(x+h)^2h}[/tex]
[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2xh + h^2}{3x^2(x+h)^2h}[/tex]
[tex]\displaystyle g'(x) = - \lim_{h\to0} \frac{2x + h}{3x^2(x+h)^2}[/tex]
[tex]\displaystyle g'(x) = - \frac{2x}{3x^4} = \boxed{-\frac2{3x^3}}[/tex]
Help me please help me
Answers
the answer to that is -120
Step-by-step explanation:
-120+74=-46
Answer:
k = -120
Step-by-step explanation:
k + 74 = -46
Subtract 74 from both sides:
k + 74 = -46
- 74 - 74
k = -120
Final answer: k = -120
Hope this helps!
Anyone know the value of x for these
Answers
3) 12
4) 6
Explanation: To find X, you can use the OW OW trick. OW = Outside, Whole.
For 3, the setup would be:
8(18) = x^2
144 = x^2
12
For 4, the setup would be:
5(8)=4(4+x)
40=16 + 4x
16 = 16 + 4x
24 = 4x
24/4 = 6
need help with this one geometry problem asap
Answers
Answer:
Step-by-step explanation:
Does anyone know how to do this please help
Answers
Step-by-step explanation:
the photo should explain
h(x) = x2 + 1 k(x) = x – 2
(h + k)(2) =
(h – k)(3) =
Evaluate 3h(2) + 2k(3) =
.
Answers
so (h+k)(2) assuming it is a function
= 4 + 2 - 1
= 5
(h+k)(3) = 9 + 3 - 1
= 11
3h(2) = 3*(4+1)
= 15
2k(3) = 2*(1) = 2
so 3h(2) + 2k(3) = 15 + 2
= 17
Mario borrows $620 from his parents and agrees to pay them back the same amount each month without interest. After 6 months of payments, he still owes them $320. Write a linear function to model the remaining amount over time that Francisco has to repay. Identify the slope and the y-intercept in terms of the context.
Answers
A linear function that models the remaining amount he would have to repay is y =620 - 50x. The slope is -50 and the y-intercept is 620.
What is the linear function?A linear function is a function in which there is only one variable that is raised to the power of one. Linear functions usually have the form: mx + b.
Where:
x = slope b = y -interceptThe first step is to determine the amount that would be repaid each month: (620 - 320) / 6 = $50
The linear function: =620 - 50x.
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Emilia has a pencil box that is 12 inches long, 5 inches wide, and 3 inches tall. Richard's pencil box is 8 inches long and 5 inches wide, but it is twice as tall as Emilia's pencil box. How many cubic inches larger is Richard's pencil box than Emilia's pencil box?
Answers
Answer:
Twice as large, or 180 cubic inches more
Step-by-step explanation:
To find the volume/ cubic inches of Emilia's pencil box, multiply base x width x height.
12 · 5 · 3 = 180
Do the same with Richard's pencil box, but multiply the height by 2
12 · 5 · 3(2) = 360
Subtract 180 from 360 to get 180.
Richard's pencil box is 180 cubic inches larger than Emilia's
Hope this helps!
Solve the equation. Determine the solution(s) and any extraneous solution.
√2x = x - 4
Answers
I assume you mean the equation
√(2x) = x - 4
Take the square of both sides. Note that √(2x) is a non-negative number, so any solution we find must also satisfy x - 4 ≥ 0, or x ≥ 4.
(√(2x))² = (x - 4)²
2x = x² - 8x + 16
x² - 10x + 16 = 0
(x - 8) (x - 2) = 0
x - 8 = 0 or x - 2 = 0
x = 8 or x = 2
If x = 2, then x ≥ 4 is false. The only solution is then x = 8.
Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.
Answers
To find the area of the circle:
⇒ need to know the formula: [tex]\pi r^{2}[/tex]
r: radius or half of diameter's length ⇒ 7 metersLet's calculate:
[tex]Area = \pi (7)^2=49\pi =153.9380m^3[/tex]
The problem asks us to round to the nearest hundreth:
[tex]Area = 153.94m^3[/tex]
Answer: [tex]153.94m^3[/tex]
Hope that helps!
For the exact binomial test, we are using the binomial distribution assuming ____________________ to compute the probability of observing the equal number of successes or more extreme number of successes.
Answers
Answer:
The proportion defined by the null hypothesis.
Step-by-step explanation: