8x - 10
25
B
E
18
15
с
D
Solve for x

8x - 1025BE1815DSolve For X

Answers

Answer 1

Step-by-step explanation:

the upper (smaller) triangle and the complete triangle are similar.

that means the angles in both triangles are the same. and the lengths of all corresponding pairs of sides correlate with the same scaling factor.

therefore,

(8x - 10) / (8x - 10 + 18) = 25 / (25 + 15)

(8x - 10) / (8x + 8) = 25 / 40 = 5/8

8(8x - 10) = 5(8x + 8)

64x - 80 = 40x + 40

24x = 120

x = 5


Related Questions

The sides of a triangle are 5.2 cm, 6.3 cm and 9.4 cm, each correct to the nearest millimetre.
Calculate the lower bound of the perimeter of the triangle.

Answers

Answer:

20.75

Step-by-step explanation:

5.2 lower bound = 5.15

6.3 lower bound = 6.25

9.4 lower bound = 9.35

5.15 + 6.25 + 9.35 = 20.75


Write an algebraic expression for each of the statements below.

Answers

Answer:

i) 3x + 7

ii) x/3 = 9

iii) y = 2x +4

iv) y = 6x

Y-intercept of x- 2y = -10
Please help

Answers

Answer:

y = [tex]\frac{1}{2} x\\[/tex]+5

Step-by-step explanation:

Y-intercept 5

Answer:

y- intercept = 5

Step-by-step explanation:

to find the y- intercept let x = 0 in the equation and solve for y

this relies on the fact that when the line crosses the y- axis the x- coordinate is zero, then

0 - 2y = - 10 , that is

- 2y = - 10 ( divide both sides by - 2 )

y = 5

then y- intercept = 5

For a science experiment, maria threw an egg 88.2 meters in 3 seconds. what was the average rate of speed of the egg? a. 88.2 m/sec. b. 44.1 m/sec. c. 29.4 m/sec. d. 9.8 m/sec.

Answers

Answer: its not A its b c or d sorry i could not help more

Answer:

The answer is C. 29.4 m/sec.

Step-by-step explanation:

I got it right ^w^


Find the exact value of the given angle. Simply all radicals and rationalize all denominators.

Answers

Answer:

4√33/33

Step-by-step explanation:

Solution,

Here,

sinθ=4/7

p/h=4/7

b=?

Now using Pythagoras theorem,

[tex]\hookrightarrow h^{2} =p^{2} +b^{2} \\\\\hookrightarrow (7)^{2} =(4)^{2} +b^{2}\\\\\hookrightarrow 49-16=b^{2} \\\\\hookrightarrow b=\sqrt{33}[/tex]

Again,

tanθ=p/b

[tex]tan\theta=\frac{4}{\sqrt{33} } \\\\tan\theta=\frac{4}{\sqrt{33} } \times \frac{\sqrt{33} }{\sqrt{33} } \\\\tan\theta=\frac{4\sqrt{33} }{33}[/tex]

According to the question ,

Sin θ = 4/7

We know that , Sin θ = Perpendicular/Hypotenuse

So , by Pythagoras theorem

Perpendicular = 4 unitsHypotenuse = 7 units Base = let it be x

Hypotenuse² = Perpendicular ² + Base ²

7² = 4² + x²

49-16 = x²

√33 = x

5.7 = x

So , the base is 5.7 units (approx)

Tan θ = Perpendicular/base

Tan θ = 4/5.7

What is the measure of

Answers

Answer:

can i have life orientation project memo for term 2

George wants to buy a new game the original price is $54.99 but it is on sale for 25% off what is the sale price of the game?

Answers

Answer:

41.24

Step-by-step explanation:

54.99 * .25 = 13.7475

54.99 - 13.7475 =

41.2425

Answer:

$41.24

Step-by-step explanation:

54.99 x 0.25 = 13.7475

54.99 - 13.7475 = 41.2425

41.2425 ≈ 41.24

hope this helps

have a good day

7. Use the​ compound-interest formula to find the account balance A with the given​ conditions, where P=​principal, r=interest ​rate, n=number of compounding periods per​ year, t=​time, in​ years, and A=account balance.

Answers

Answer:

$173,954.01

Step-by-step explanation:

Finding compound interest :

A = (150,000)(1 + 0.025)⁶A = (150,000)(1.025)⁶A = (150,000)(1.15969342)A = $173,954.01

It's seventh grade social studies the question is written "how did the issue of slavery cause the Civil War?" ​

Answers

Answer:

The civil war started because the south wanted to keep the country enslaved while the north wanted a free slave country. This divison between the north and the south created the civil war

Answer:

It divided the nation.

Step-by-step explanation:

North wanted to banned slavery, while the south didn't. At that time states from the north and the south were in the union. The south succeeded from the union, because of some slavery issues which lead to the Civil War.

Calculus - need work shown

Answers

Easy evaluation!

[tex]5( ln( |4x - 15| ) + c[/tex]

Step-by-step explanation:

Feel free to ask if you're left with any doubts.

Answer:

[tex]\large \text{$ 5 \ln|4x-15|+C $}[/tex]

Step-by-step explanation:

[tex]\large \displaystyle\begin{aligned}\textsf{let }\:u & =4x-15\\\implies \dfrac{du}{dx} & =4\\\implies dx & =\dfrac{1}{4}\: du\\\end{aligned}[/tex]

[tex]\large\displaystyle\begin{aligned}\int \dfrac{20}{4x-5}\:dx &=\int \dfrac{20}{u}\cdot \dfrac{1}{4}\:du\\\\&=\int \dfrac{20}{4u}\:du\\\\&=\int \dfrac{5}{u}\:du\\\\&=5 \ln |u| +C\\\\&=5 \ln |4x-15| + C\end{aligned}[/tex]

HELP ILL GIVE BRAINLIEST

Answers

Answer:

B) 8/9

Step-by-step explanation:

0.3 + 0.5 = 0.8Change to repeating decimal (0.888888...)The decimal converts to 8/9

Answer:

B

Step-by-step explanation:

0.3333 + 0.5555 = 0.8888

as a fraction it's 8/9

Find the value of X round to the nearest degree

Answers

Answer:

50

Step-by-step explanation:

to find the value of x use "sinerule"

sinx/13= Sin90/17

sinx = sin90×13/17

sinx= 14/17

sinx= 0.764705882

X= SIN^-1(0.764705882)

X = 49.888

X= 50

Find the surface area of the pyramid. The side lengths of the base are equal.

Answers

Might be 299.85 not entirely sure

A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm. What is the focal length (in cm) of the lens?

Answers

The focal length of the lens is 40cm.

What is the focal length?

The distance between the center of a lens or curved mirror and its focus.

A plane convex lens is made of glass ( n = 1. 5) with one flat surface and the other having a radius of 20 cm.

The focal length of the lens is given by the following formula;

[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\Where; \ r_1 =\infty , \ r_2=20, \ and \ n = 1.5[/tex]

Substitute all the values in the formula;

[tex]\rm \dfrac{1}{f}=(n-1) \left ( \dfrac{1}{r_1}-\dfrac{1}{r_2} \right)\\\\\rm \dfrac{1}{f}=(1.5-1) \left ( \dfrac{1}{\infty}-\dfrac{1}{20} \right)\\\\ \rm \dfrac{1}{f}=(0.5) \left ( 0-\dfrac{1}{20} \right)\\\\ \dfrac{1}{f} = \dfrac{-0.5}{20}\\\\\dfrac{1}{f}=-0.025\\\\f = \dfrac{-1}{0.025}\\\\f=-40[/tex]

Hence, the focal length of the lens is 40cm.

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Which expression represents the volume of the cone that is startfraction pi over 4 endfraction times the volume of the pyramid that it fits inside? startfraction pi over 4 endfraction(2r2h) startfraction pi over 4 endfraction(4r2h) startfraction pi over 4 endfraction(startfraction r squared h over 3 endfraction) startfraction pi over 4 endfraction(startfraction 4 r squared h over 3 endfraction)

Answers

The expression of the volume of the cone that is π/4 of the volume of the pyramid, is expressed as: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex].

What is the Volume of a Pyramid?

Volume of a pyramid = 1/3(length)(width)(height)

Find the volume of the pyramid in the image given:

Volume of the pyramid = 1/3(2r)(2r)(h)

Volume of the pyramid = 4r²h/3

We are given that the volume of the cone is π/4 of the volume of the pyramid.

Therefore, the expression that represents the volume of the cone would be: [tex]\mathbf{\frac{\pi}{4} (\frac{4r^2h}{3} )}[/tex]

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Answer:

D:  

Step-by-step explanation

Use the product rule to simplify a ^7 x a ^11

Answers

Answer:

The answer to the question a∧18

Answer:

[tex]a^{18}[/tex]

Step-by-step explanation:

Use the product rule to simplify a ^7 x a ^11

[tex]a^{7}[/tex] × [tex]a^{11}[/tex] =

(add the exponents)

7 + 11 = 18

[tex]a^{18}[/tex]

A 60 foot by 20 foot garden is enclosed by a fence. To increase the area of the garden, while still using the same fence, its shape is changed to a square. By how many square feet does this enlarge the garden

Answers

The increase in square feet when the garden is enlarged is 400 square feet.

What is the increase in square feet?

The first step is to determine the perimeter of the fence:

Perimeter = 2( length + width)

2 (60 + 20)

= 160 feet

When the shape of the garden is changed to a square, the perimeter of the square and the rectangle has to be the same.

Length of side of the square = 160 / 4 = 40 feet

Area of the square = 40 x 40 = 1600 square feet

Area of the garden = 60 x 20 - 1200 square feet

Difference = 1600 - 1200 = 400 square feet

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5
Find the missing angle.
94
23°
?
Answer:

degrees

Answers

Answer:

63 degrees as 94 +23 =117

180-117=63

[3 - (6 ÷ 3)3] x 11 + 11?

Answers

Answer:

The answer is -11(3x-1)

Step-by-step explanation:

Thats what the calculator said

Hope this helps!!!

the radius of a sphere is r=17

what is the volume

Answers

Answer:20579.53

Step-by-step explanation:round it to its hundreth or tenth based on the question or full

Tried to do this one on my own but still dont get how to do it.

Answers

Answer:

238

Step-by-step explanation:

First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter.  34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!

PLEASE HELP I NEED THE CORRECT ANSWER AS I ONLY HAVE ONE TRY AND I NEED TO SUBMIT IT IN 10 MINUTES

Answers

A, B, and D all have areas of 18

Answer:

A, B, D

Step-by-step explanation:

A 6x3 =18

B 9x2=18

D 9x2=18

HELP PLSSSSS!!!! ASAP!!! Insert operation signs (+,-,*,/) and parentheses as needed to make the equation true.

4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1
Or in other words:
4.75 _ 7.5 _ 1.16666... _ 1.33333... = 1
TY PLSS HURRY!!!!

Answers

Answer:

This cannot be explained properly by me, but the answer is 4 3/4*1 1/3 divided by (7 1/2-1 1/6). I just did a lot of trial and error

Step-by-step explanation:

The mathematical operations used [tex](4.75/7.50) * 1.17 * 1.34[/tex].

What are mathematical operations?

An operation exists as a mathematical action. Addition, subtraction, multiplication, division, and calculating the root exist all instances of a mathematical operation.

Given: 4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1 or

4 3/4 _ 7 1/2 _ 1 1/6 _ 1 1/3 = 1

Convert mixed fraction into a proper fraction we have

[tex](19/4) * (15/2) * (7/6) * (4/3) = 1[/tex]

Now convert the proper form of the fraction into a decimal

[tex]$4.75 * 7.50 * 1.16 * 1.34[/tex]

Inserting operation signs, then we get

[tex]= (4.75/7.50) * 1.17 * 1.34[/tex]

= 0.99294

= 1 (approximately)

Therefore, the correct answer is [tex](4.75/7.50) * 1.17 * 1.34[/tex].

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Please help with this limit, I have tried everything but this won't work.

Answers

You're lucky that I was able to do this :)

The answer is [tex]\huge\boxed{\frac{1}{4}} [/tex]

It has rained two out of the past nine days.
Based on this data, what is the probability
that it will not rain for the next four days?

Answers

the probability would be 25%

Answer:

There is only a 25% of the probability

50 POINTS AND BRAINLIEST!!!!!!!
This table represents a proportional relationship between x and y.

x 1.3 1.6 1.9 2.2
y 1.82 2.24 2.66 3.08
What is the constant of proportionality?

Enter your answer as a decimal in the box.

Answers

Answer:   1.4

Reason:

Pick any column and divide y over x

column one: y/x = (1.82)/(1.3) = 1.4column two: y/x = (2.24)/(1.6) = 1.4column three: y/x = (2.66)/(1.9) = 1.4column four: y/x = (3.08)/(2.2) = 1.4

You only need to pick one column when it comes to showing your work.

The constant of proportionality is 1.4

This leads to the equation being y = 1.4x

Given: ∠ABC and ∠CBD are complementary angles and ​m∠ABC=35°​

Prove:m∠CBD=55°

Answers

Answer:

we know that sum of two complementary angles always equals to 90°

now ∠ABC and ∠CBD are complementary which means ∠ABC + ∠CBD = 90

∠ABC = 35° given

so ∠CBD = 90° - ∠ABC = 90° - 35° = 55°

therefore hence proved ∠CBD = 55°

The area of a
triangle is 21 in
The base is 7cm.
What is the
height?

Answers

Answer:

7 inches

Step-by-step explanation:

1. Covert 7cm into inches: approximatly 3 inches.

2. 21/3: 7

3. 7 inches

Zane took Jessica to dinner. The check was $31.23. They left a tip of 25% the total check. How much was the total cost of the dinner (including tip)?

Answers

The answer is 39.0375 but rounded to dollars and cents it would be $39.04 including a 25% tip.
Answer: $39.0375

Step-by-Step Explanation:

Amount for Dinner = $31.23
Tip Rate = 25%
Total Amount = ?

Therefore,
= (25/100 * 31.23) + 31.23
= (780.75/100) + 31.23
= 7.8075 + 31.23
=> 39.0375

Total Amount = $39.0375 or $39.04

can anybody help me...​

Answers

Answer:  The 3 angles shown need to equal 180 degrees

x = 180 - 75 - 65

x = 40 degrees

Step-by-step explanation:

I had someone help out with this one...hope this helps u out have a good rest of ur day!!!!!

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