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

What is the measure of angle F in this triangle? *
S
45°
E
80°
Q
D

Answers

Answer:55·

Step-by-step explanation:

HELPPP simplify the expression !!!

Answers

Answer:

Exact form: 3√5/5

Decimal form: 1.34164078...

Step-by-step explanation:

Answer:

6.708020

Step-by-step explanation:

42 points to help with math

Answers

I think it’s C I cba to do explanation!

Step-by-step explanation:

first find the nth term

a1 (n-1) d

24 (n-1) 7

24+7n-7= 17+7n

for 500th term: 17+7(500)= 3517

so option B

hope it helps! please mark me brainliest..

thank you!! have a good day

Shinji is considering two different layouts for a new garden. He needs to put a length of fence around whichever
layout he chooses.
The following diagram shows both layouts on a coordinate grid.
B
Coordinate values are in meters.
Which layout needs more fencing, and how much more?

Answers

Answer:

Layout A needs 4.8 m more fencing

Step-by-step explanation:

Khan academy answer

A line passes through the points (-3, -1) and (-5, 4). What is the slope of this line.

Answers

Answer:

-5/2

Step-by-step explanation:

4+1/-5+3 your welcome could you give me brainliest pls? thankss

what is the answer to this question

Answers

Answer:

9v + 14

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

7v + 2 + 12 + 2v

Step 2: Simplify

Combine like terms (v):                    9v + 2 + 12Combine like terms (Z):                    9v + 14

For each expression, combine like terms and write an equivalent expression with fewer terms. 4x+3x

Answers

9514 1404 393

Answer:

  7x

Step-by-step explanation:

We can factor out x and simplify.

  4x +3x = x(4 +3) = 7x

An equation is written below.
3/4x-4 = -19
What is the solution to the equation?

Answers

Answer:

x = -20

Step-by-step explanation:

3/4x - 4 = -19

multiply by 4 to eliminate denominator

3x - 16 = -76

3x = -60

x = -20

A
,
B
and
C
are points on a circle with
A
C
as a diameter.
A
B
C
is a right-angled triangle.

Work out the total area of the regions shaded in the diagram.
Give your answer correct to 1 decimal place.

Answers

Answer:

Area of the shaded portion = 54.5 cm²

Step-by-step explanation:

Solve first for the area of the circle:

[tex]area \: of \: circle = \pi {r}^{2} \\ = \pi( \frac{d}{2} )^{2} \\ = \pi( \frac{10}{2} )^{2} \\ = 25\pi \: or \: 78.5398 {cm}^{2} [/tex]

Then, compute for the area of the triangle:

[tex]area \: of \: triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} ( {8})(6) \\ = 24 {cm}^{2} [/tex]

Since we only needed the shaded portion, we have to subtract the area of the triangle from the area of the circle

[tex]25\pi {cm}^{2} - 24 {cm}^{2} = 54.5398 {cm}^{2} [/tex]

Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene ​'s car had 5.9 gallons in the14 ​-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost ​$3.60 per gallon. How much did Irene spend on​ gas

Answers

Answer:

I believe it is $21.24 im sure

Part I: Writing Linear Equations
1.
Write the equation of the line that has a slope of -1/4 and contains the point
(72, -30) in Point-Slope Form. (2 pts)
2.
A). Write the equation of the line that contains the points (3, 15) and (28, -35) in
Point-Slope Form. (2 pts)
B). Convert the Point-Slope equation from part A to Slope-Intercept Form. (2 pts)

Answers

Answer:

1. y= 2/5x+11

2. y=3x-15

2y-5x=9

Step-by-step explanation:

I did this already

PLZ HELP U GET 10 POINTS PLZZZZZ
Write 9 as a product of primes use index notation when giving answer what's the answer

Answers

Answer:

3x3 =9

3 is a prime number, 3x3=9

Please help this is due tomorrow!!
After 8 weeks on a fitness program, Mrs. Honaker can job 30 miles. Her average mileage gain has been 2 miles per week.

a) write an equation to model this scenario in slope-intercept form.

b) Determine how many miles Mrs. Honaker can run after 11 weeks.

Answers

Answer:

donut

Step-by-step explanation:

1. Miranda is braiding her hair. Then she will attach
beads to the braid. She wants of the beads to
be red. If the greatest number of beads that will
fit on the braid is 12, what other fractions could
represent the part of the beads that are red?​

Answers

Complete question :

Miranda is braiding her hair then she will attach beads to the braids she wants 1/3 of the beads to be red if the greatest number of beads that will fit on the braid is 12 what other fraction could represent the part of the beads that are red?

Answer:

2 / 6

Step-by-step explanation:

Fraction of red beads on braid = 1/3

greatest number of braids = 12

Fraction of red beads = (1 /3) * 12 = 4 red beads

Thus implies that :

When greatest number of braids = 12

fraction of red beads) = (Number of red beads / greatest number of beads)

Fraction = 4 / 12

Divide by 2 = 2/6 (don't reduce to lowest term).

I need help with question b

Answers

Answer:

A triangular pyramid, otherwise known as a tetrahedron.

Step-by-step explanation:

I learned this in math class a long time ago. My major in college revolves around math and I tutor in geometry, so I memorized this type of stuff.

Glad to see that my hard work is paying off.

a man is twice as old as his son. 20 years ago the sum of their age is 85​

Answers

What do you want solved?

Which expression uses the greatest common factor and the distributive property to rewrite the sum 45 + 20?

5(9+4)​

9(5)+20

5(11+4)​

4(5+5)

Answers

5(9+4) is the correct answer

please help me on this! will give u brainliest tyy.

Answers

Answer:

A. The balloon is at its initial height

B. The boxer is 0 pounds from her starter weight

C. The company's size is smaller

Step-by-step explanation:

For A, -30+30 is equal to 0 so its gonna be the same height it was before.

For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)

For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.

Hope this helps.

Can somebody help me. Will marl brainliest.

Answers

Answer:

3. < ACB=<DCE

Step-by-step explanation:

3. < ACB=<DCE, because both are vertical angles which are equal

Did you find this helpful?

Help !! Answer please

Answers

Answer:

4

Step-by-step explanation:

Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?

Answers

Answer:

63 employees.

Step-by-step explanation:

Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.

To find the number of employees highered last year;

110% of employees represent 70

100% of the employees will represent;

Cross-multiplying gives;

[tex]\frac{100 * 70}{110} = 63.6[/tex]

To be realistic, 63 employees were highered last year.

Which of the following situations can be described by the equation 2x – 4 = 10?

Answers

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

(4, 2); slope = 3
write the equation of the line

Answers

Answer:

y=3x-10

Step-by-step explanation:

If Lucy runs 1 2/3 miles each day, how many miles will Lucy run in 2 days?

Answers

Answer:

She will run 3 1/3 miles in 2 days

Step-by-step explanation:

1 2/3 + 1 2/3 = 2 4/3

= 3 1/3

Answer:

10/3 and mixed fraction is 3 1/3

Step-by-step explanation:

Write 8 as a product of primes.
Use index notation

Answers

Answer:

2³

Step-by-step explanation:

8 = 2 × 2 × 2 = 2³

PLS HELP!! answer the pic below

Answers

The y intercept is (0,3)

Have a great day!
0,3 I think cause I did it before

Every month Jimmy makes $170 in mowing lawns. He divides his money into two equal amounts and spends one part. The other part goes in his bank account. After 1 year of mowing lawns, how much money has Jimmy saved?

Answers

Answer:

$1020

Step-by-step explanation:

1/2 of 170 is 85.

85 x 12 = 1020

WOOOO!!!!

092MLBO

Answer: $1020

Step-by-step explanation:

170*12 = 2040

2040/2 = 1020

Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks,
and 1 pair of white socks. If she picks a pair at random, what is the
probability she will pick a green pair?*
1/10
2/5
3/10
O 3/5

Answers

Answer:

3/5

Step-by-step explanation:

3 + 6 + 1 = 10

6 green, 6/10

3/5

Answer:

3/5

Step-by-step explanation:

-7+m=8
m=15
How do I show work for this tho?

Answers

Answer:

Use substitution method

-7+(15)=8

8=8

Hope this helps. Have a nice day you amazing bean child.

-7 + 15 = 8

Move the 7 over to the 8, the negative sign becomes a positive.

15 = 7+8

7+8 = 15

15 = 15

Karim uses a total of 20 cups of batter to make x cupcakes and a cake. He uses cup of batter for each cupcake and 4 cups of batter for the cake. How many cupcakes, x, can Karim make if he uses all the batter?​

Answers

Answer:

16 cupcakes

Step-by-step explanation:

Total cups of batter = 20

He uses 4 cups for cake and the rest for cupcakes

Number of cupcakes is:

x = 20 - 4 = 16
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