Mathematics High School

Find x.
Side splitter theorem

Find X. Side Splitter Theorem

Answers

Answer 1

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

Related Questions

HEELLPPP!!!!! fastttt plzzzzz!

The sales for products sold at an electronic store are below. What percent of the products sold were speakers?

Answers

Answer:

6.00%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A board game uses a bag of 105 lettered tiles. You randomly choose a tile and return it to the bag. The table shows the number of vowels and the number of consonants after 50 draws. Predict the number of vowels in the bag.

This is what the table says:

Vowels Consonants
18 32

Answers

Answer:

38

Step-by-step explanation:

thats the answer

Simplify the exponential expression 48 Superscript one-half.

2 (24 Superscript one-half Baseline)
3 (16 Superscript one-half Baseline)
4 (3 Superscript one-half Baseline)
16 (3 Superscript one-half Baseline)

Answers

Answer:

the answer is C here you go for anyone needing it

Step-by-step explanation:

Answer:

The answer is C. (2)

Step-by-step explanation:


1. The difference of five times a number and 6 is -2.

Answers

Answer:

13

Step-by-step explanation:

5-x+6=-2

X=13

I
A 10 kg box is pulled across the floor at a constant speed. If the force of pull was 70 N at
a 30° angle:
a. What was the force of friction
b. What was the coefficient of friction

Answers

Answer:

Acceleration equals zero because of constant velocity

[tex]f - fr = ma \\ 70 \cos(30) - fr = 0 \\ 70 \cos(30) = fr \\ fr \: = 60.62[/tex]

coefficient

Fr = coefficient × r

60.62= ce ×100

0.60 = coefficient

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks

Answers

Answer:

y = 4.25x

Step-by-step explanation:

Given that:

After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;

y is the amount of dog food

x is the time in weeks

The coordinates are (2, 8 1/2) and (5, 21 1/4)

get the slope m:

m = y2-y1/x2-x1

m = (21 1/4 - 8 1/2)/5-2

m = (85/4-17/2)/3

m = (85-34/4)/3

m = 51/12

m = 4.25

Get the intercept c:

Substitute any of the points say (2, 17/2) and m = 51/12 into the equation

y = mx+c

17/2 = 51/12(2) + c

17/2 = 51/6 + c

c = 17/2 - 51/6

c = 51-51/6

c = 0

Get the required equation:

substitute m - 4.25 and c = 0 into y = mx+c

y = 4.25x + 0

Hence the required equation is y = 4.25x

Write the equation of the line using slope-intercept form
with the following information:

( 1,9) and (2,3)

Answers

Answer:

its 1290 ans there is the awer

When 80 is decreased by 15%, the new number is

Answers

Answer:68

Step-by-step explanation:

Percentage decrease = 15% × 80

New value =

80 - Percentage decrease =

80 - (15% × 80) =

80 - 15% × 80 =

(1 - 15%) × 80 =

(100% - 15%) × 80 =

85% × 80 =

85 ÷ 100 × 80 =

85 × 80 ÷ 100 =

6,800 ÷ 100 =

68

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

Answers

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Thomas got a flat tire and had to walk 1/4 mile to the nearest gas station. How many feet did Thomas walk?

Answers

Answer:

[tex]1320\ \text{feet}[/tex]

Step-by-step explanation:

The distance Thomas walked to the nearest gas station is [tex]\dfrac{1}{4}\ \text{mile}[/tex].

The conversion factor for miles to feet is

[tex]1\ \text{mile}=5280\ \text{feet}[/tex]

So

[tex]\dfrac{1}{4}\ \text{mile}=\dfrac{1}{4}\times 5280[/tex]

[tex]=1320\ \text{feet}[/tex]

Hence, Thomas had to walk [tex]1320\ \text{feet}[/tex] to get to the nearest gas station.

For each year that a gift card goes unused, the value of the card decreases by 5%. What is the value of a $25.00 gift card after 1 year? Show your work.

Answers

Answer:

25*0.95 = 23.75

Step-by-step explanation:

i multiplied by 0.95 because the card is still worth 95% of it's original worth.

you could've done:

25*0.05= 1.75 and then subtract that from 25 to get 23.75, i just find the other way easier.

i hope this helped :)

A cone has a diameter labeled twelve centimeters and a height labeled thirty-two centimeters. Find the area of a vertical cross section through the center of the base of the cone.

Answers

Answer:

[tex]A=0.0192[/tex]

Step-by-step explanation:

Diameter labeled twelve centimetres D =12cm => 0.12

height labeled thirty-two centimetres H= 32cm => 0.32

Generally the vertical cross section of this cone is a triangle

Mathematically solving

Area of vertical cross section through the center of the base of the cone is given by [tex]A=1/2 D*height[/tex]

[tex]A=R*H[/tex]

Therefore

[tex]A=\frac{0.12}{2} *0.32[/tex]

[tex]A=0.06 *0.32[/tex]

[tex]A=0.0192[/tex]

need a correct answer please

Answers

Answer:

102°

Step-by-step explanation:

∠PQR = ∠PQS + ∠SQR

12x - 6 = 16 + 9x + 17

3x = 27

x = 9

∠PQR = 102°

24a+48=9(2a-4) please

Answers

Answer:

a = -14

Step-by-step explanation:

1. distribute

24a + 48 = 9(2a - 4)

24a + 48 = 18a - 36

2. subtract 48 from both sides of the equation

3. simplify

4. subtract 18a from both sides of the equation

5. simplify

6. divide both sides of the equation by the same term

7. simplify

solution: a = -14

hope this helped!

please help quick time

Answers

Answer:

[tex]Area = 34.2cm^2[/tex]

Step-by-step explanation:

Let the three sides be a, b and c respectively.

Such that:

[tex]a = 8[/tex]

[tex]b = 9[/tex]

[tex]c= 10[/tex]

Required

Determine the area

This is calculated as:

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

Where

[tex]s = \frac{1}{2}(a + b + c)[/tex]

Substitute values for a, b and c

[tex]s = \frac{1}{2}(8 + 9 + 10)[/tex]

[tex]s = \frac{1}{2}(27)[/tex]

[tex]s = 13.5[/tex]

Substitute values for a, b, c and s in

[tex]Area = \sqrt{s(s-a)(s-b)(s-c)[/tex]

[tex]Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)[/tex]

[tex]Area = \sqrt{13.5 * 5.5* 4.5* 3.5[/tex]

[tex]Area = \sqrt{1169.4375[/tex]

[tex]Area = 34.2[/tex] -- Approximated

-6k+7k
So I'm not sure that it's k because I need to simplify? Can someone help me

Answers

Answer:

k

Step-by-step explanation:

its just k, since 1k can be simplified to just k

It’s K since 1k equals K times 1 which equals k

a teacher buys all 5 books. She pays with a $100 bill. How much change should she get

Answers

Answer:

how much are the books. ????

Answer:

How much does each book cost?

Plz help and I will give brainliest

A family wants to save $100 each month. They record their progress toward this goal at the end of each month. In January they saved $120 and recorded 1$20 at the end of the month. What should they record for the month of February if they only saved $80 that month? Explain.


If you put anything random as the answer I WILL report

Answers

Answer:

200 dollars

Step-by-step explanation:

Answer:

$200.

Step-by-step explanation:

$200 because if they save $120 then $80, $200.

(120+80=200.)

Hope this helps plz hit the crown :D

sorrry for not answering earlier

Which mapping diagram represents a relationship that is a function?
Mapping A
Mapping B
3
7
O Mapping A
O Mapping B
O both Mapping A and Mapping B

Answers

Mapping A would be the one

Answer:

Mapping A

Step-by-step explanation:

A football player has made 80% of the field goals he has attempted in his career. If he
attempts 45 field goals in a season, how many would he be expected to make?

PLEASE ANWSER SERIOUSLY

Answers

Answer:

im pretty sure its 56.25 cus 45= 80% of 56.25

Step-by-step explanation:

please help it is due at 4:15

Answers

Answer:

$2720

Step-by-step explanation:

Interest = P×R×T /100

= 2000×12×3 /100

=72000/100 = $720

Amount = Principal + Interest

= $2000+$720 =$2720

Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!

Answers

Using function concepts, it is found that the correct options are:

Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).

What is the parent exponential function?

The parent exponential function is defined by:

[tex]y = e^x[/tex]

In this problem:

When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.

To learn more about function concepts, you can take a look at https://brainly.com/question/16948935

what is this? answer quickly please

Answers

Answer: t= 11.5

Step-by-step explanation: 5 + (-11.5+3) = 3.5

Answer:

T = -3.7

Step-by-step explanation:

We begin with the given equation.

5(t+3)=-3.5

Distribute 5 throughout parentheses.

5t + 15 = -3.5

Move 15 to the other side and switch signs.

5t = -3.5 - 15

Combine like terms.

5t = -18.5

Divide by 5t.

t = -3.7

At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.

Answers

Answer:

$8.98

Step-by-step explanation:

3.59+3.59+1.80

The answer would be $8.98. If each pound of apples costs $3.59 cents and you buy 2.5 pounds, your equation would be 2.5(3.59)=8.98.

The numbers –12, –7, –2, 3, . . . follow a pattern. What are the next three numbers in this pattern? A. 8, 13, 18 B. 5, 10, 15 C. 2, 8, 13 D. 8, 14, 17

Answers

Answer:

A.

Step-by-step explanation:

5 is added each time

3 + 5 = 8

8 + 5 = 13

13 + 5 = 18

Answer:

8,13,18

Step-by-step explanation:

I WILL GIVE YOU BRAINLY PLSS



There are 256 vehicles in a car dealership’s lot. At least 113 of them are hybrid
vehicles. Which inequality describes how many vehicles, at most, are not hybrid?
A. ≤ 143
B. 143
D. ≥ 143


PLSS SHOW YOUR WORK PLSS

Answers

Answer: A

Step-by-step explanation:

What is greater -3.2 or -3

Answers

Answer:

-3 is greater

Step-by-step explanation:

Have a good day :)

I think that it is greater

What number is 40% of 160?

Try to explain

Answers

Answer: 64

Step-by-step explanation:

40% of 160

40/100 x 160

6400/100

64

Did I explain this well?

Answer: 64

Step-by-step explanation: So you would start off with the ratio of 40:100 other known as in fraction form 40/100 and you know of means to multiply so you grab the numbers 160 and 40 and mulitiply those digits together and you get 6400. This is where the 100 comes to place and you divide the 6400 by 100 and you get 64.

freh points for da butter dog the dog wit da butter

Answers

Answer:

tanks for the freh points

Step-by-step explanation:

we all like freh points

Answer:

butter dog sounds cool

Step-by-step explanation:

EXOTIC BUTTERS?

i need help pleaseee
screen shot attatched

Answers

Answer:

1,200 cubic cm

Step-by-step explanation:

First, you separate it into two prisms, which gives you two different volume formulas.

14*20*2 = 560

20*4*8 = 640

You then add the two volumes together, which equals 1,200

Answer:

sorry wish i could help....

Step-by-step explanation:

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