proportions in similar triangles. need help

Proportions In Similar Triangles. Need Help

Answers

Answer 1

Answer:

  x = 6

Step-by-step explanation:

The angle bisector divides the triangle sides proportionally:

  (6x -1)/42 = (10x +5)/78

  13(6x -1) = 7(10x +5) . . . . multiply by 546 (the LCM of 42 and 78)

  78x -13 = 70x +35 . . . . . eliminate parentheses

  8x = 48 . . . . . . . . . . . . . . add 13-70x

  x = 6 . . . . . . . . . . . divide by 8

_____

Additional comment

The unknown segment lengths are ...

  6·6 -1 = 35

  10·6 +5 = 65

Then the ratios to the known sides are ...

  35/42 = 65/78 = 5/6


Related Questions

L=32 cm , w = 32 cm how do I solve this please help

Answers

You needed to do q and a questions about the same as in the morning

So far I’m 3/3 but i don’t know this one

Answers

Answer:

D

Step-by-step explanation:

Your are right i think?

The answer is C. I hope this helps! :)

why do we have to learn math

Answers

Math is not present only in exercises of  school, but it is present in day-to-day life of society. For example, math can be used to:

   • pay your bills;

   • go to supermarket;

   • go to restaurant;

   • make a cake or a favorite dish ;

   • play music;

   • read time in a watch;

   • take a medication;

   • write a code for an app mobile.

A great advantage is that numbers are universal, thus the number are the same independent of your location.

Mathematics

It is the science that relates everyday practices and nature to human reasoning and numerical logic.

Learn more about  mathematics here:

https://brainly.com/question/1146295

You open a savings account with a deposit of $1,963. The account as an annual interest rate of
12.7%. How much money will the account have in 2060?
$= 1963 · 1.127'; $184,513.91
B) $ = 1963 · 0.873'; $11.26

Answers

Answer: $184,514.91

Time would be 38 years.

Chen bought a 20-foot chain for $36.50. What is the unit rate of price per foot?

Answers

About 1.83. You would set up the equation like this

help pwease pls i cant put a pic but it says make a expressions thats equivalent to 5(6+y)=_+_

Answers

Answer:

30 + 5y

Step-by-step explanation:

Distribute the 5

5*6 = 30

5*y = 5y

and add

Answer:

[tex]5y+30[/tex]

Step-by-step explanation:

This equation on the left wants us to use the distributive property. That means we can distribute 5 to the 6, and the y in the equation. So, we will multiply.

[tex]5(6)=30\\5(y)=5y[/tex]

And, it wants us to add the two, so therefore it would be [tex]5y+30[/tex]

What would you make the size of one of the sides of a right triangle if its other side is 12cm and the hypotenuse is 20cm?

A triangle has the three sides of 2cm, 6cm, and
[tex] \sqrt[2]{10} cm[/tex]
is it a right triangle-yes or no​

Answers

Step-by-step explanation:

1. 400-144 = 256

unknown side = 16 cm

2.

√10 = 3.16

the biggest side is hypotenuse. assuming 6cm is the hypotenuse.

4+10= 14, which is different From hypotenuse. so it's not a triangle

Find the 88th term of the arithmetic sequence 4, -1, -6, ...4,−1,−6,...

Answers

Answer:

88th term = -431

to solve, keep subtracting 5

Answer:

a₈₈ = - 431

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 4 and d = a₂ - a₁ = - 1 - 4 = - 5 , then

a₈₈ = 4 + (87 × - 5) = 4 + (- 435) = 4 - 435 = - 431

The function f(t) = 880(0.1) represents the change in a quantity over t
hours. What does the constant 0.1 reveal about the rate of change of the
quantity?

Answers

Answer:

Step-by-step explanation:

the function is decaying exponentially at a rate of 90%

0.1-1=0.9 x100 =90 and it’s decaying because r (0.1) is less than one

A father is twice as old as his son and the sum of their ages is 75. How old is the
father?

Answers

Answer: 50

Let's first of all assume the son's age as x.

So,

Father's age will be 2x i.e. twice as old as the son

Given that,

Sum of their ages = 75 years

So,

x + 2x = 75

3x = 75

x = 75/3

x = 25

Hence,

Son's age = x = 25 years

Father's age = 2x = 2 * 25 = 50 years

solve for x. pls help​

Answers

Answer:

Step-by-step explanation:

5)50=x+59 => x=-9

6)x+77=70 => x=-7

7)x+123=115 => x=-8

8)11x-1=10x+10 +> x=11

9)120+5x+10=180 => 5x=50 =>x=10

10)125=x+134 => x=9


The picture below will help you to understand this question better.

Evaluate the function

Answers

It should be -101. Just plug in 9 into x so it would be like f(9)= 9^2-20. Which equals -101

Answer:

  -101

Step-by-step explanation:

Put 9 where x is, and do the arithmetic.

  f(x) = -x² -20

  f(9) = -9² -20 = -81 -20

  f(9) = -101

2(5x - 7) = 8x + 15

one solution

b
no solution

c
infinite many solutions

Answers

infinite many solutions

[tex] \sf \: 2(5x - 7) = 8x + 15[/tex]

[tex] \: \: [/tex]

[tex] \sf 10x - 14 = 8x + 15[/tex]

[tex] \: \: [/tex]

[tex] \sf \: 10x - 8x = 15 + 7[/tex]

[tex] \: \: [/tex]

[tex] \sf \: 2x = 8[/tex]

[tex] \: \: [/tex]

[tex] \sf \: x = \cancel\frac{8}{2} [/tex]

[tex] \: \: \: [/tex]

[tex] \boxed{\sf \: x = 4}[/tex]

Hope Helps~

In the rectangle below, AC has a length of 28 units. What is the length of DE?
D
A
LD
O A. 56 units
O B. 21 units
O C. 28 units
D. 14 units

Answers

Answer:

D. 14 units

Step-by-step explanation:

it is a rectangle.

that means both diagonals are equally long.

E is in the middle of of diagonals.

so, since the whole diagonal (AC = DB) is 28 units long, one half of such a diagonal (AE = EC = DE = EB) is then

28/2 = 14 units long.

How do I remove the 1 on the numerator when solving for x
1/x = 5

Answers

Answer:

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

Step-by-step explanation:

[tex]\frac{1}{x}[/tex] = 5 ( multiply both sides by x to clear the fraction )

1 = 5x ( divide both sides by 5 )

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

Use the table to write a linear function that relates y to x

Answers

Answer:

the answer is =

y = [tex]-\frac{1}{4} x[/tex]

Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15
and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you
calculated them.
A
15 cm
B
8 cm
C
D

Answers

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.

Answer the question correctly

Answers

Answer:

1,152 (Yes, I know it seems like a lot but it’s correct)

Step-by-step explanation:

To find this answer, we need to do 32x36

Whenever you have a problem like this, you have to multiply all your different variables/factors in which in this case is 32 and 36

When you do this, you get 1,152 so that’s your answer!

Hope this helps and please award brainliest if possible!

Answer:

1,152

Step-by-step explanation:

It is because 36 pencils and 32 students so you multiply and get 1,152

help i am stuck on a question and i still dont know how to do it

Answers

Answer:

i think it is 1/26

Step-by-step explanation:

Answer:

[tex]\frac{1}{26}[/tex]

Step-by-step explanation:

There are 26 letters in the alphabet. The computer chooses randomly, so everytime it picks a letter, out of all the 26 there is only one first letter of your name.

So, there should be a

[tex]\frac{1}{26}[/tex]

chance that the first letter in your name will be picked.

Hope this helped! Please tell me if I'm right or not, and sorry I didn't go in depth. <3

Mrs. Thomas car averages 23 miles per gallon. How many gallons of gasoline will she need in order to make the round trip ? If the price of gasoline is $2.13 per gallon, what is the cost of the gasoline for the entire trip?

In addition to paying for the gasoline, Mrs. Thomas must also pay $13.92 fo her lunch and $32.98 for her dinner. What is the total amount of her meal expenses?

a. What is the total amount of her gasoline and meal expenses?
b. What operation did you use to figure it out ?

Answers

Answer:

a. $70.43

b. 23.43 + 13.92 + 32.98 = t (UNSURE)

Step-by-step explanation:

Since Mrs. Thomas is driving 231 miles using 23 miles per gallon, let's start by dividing 231 by 23

[tex]\frac{231}{23} = 10.043....[/tex]

We need to round 10.043... to 11 because you can't get part of a gallon.

Now, we need to multiply 2.13 by 11 to get the total amount of money for gasoline.

[tex]11 * 2.13 = 23.43[/tex]$

We also have the aditional meal expenses, which are $13.92 and $32.98.

We can use an equation to solve. Our total amount will be represented by t.

[tex]23.43 + 13.92 + 32.98 = t[/tex]

[tex]t = 70.43[/tex]

Hope this helps! Part b seems a bit confusing. I'll fix my answer if you could clarify, like if I do "communative property" or write equation. :))

geometry! will give brainlist!!

Answers

KA would be 24 because QA is half of 16, so QA would be 8

What would be the total cost of purchasing the number of shirts needed to use your coupon—after your coupon is applied and a 7. 5% sales tax is charged on the purchase?.

Answers

The cost of purchasing the number of shirts after discount and sale tax is $40.3125.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The discount is 25%.

The total price before the coupon is $50.

The sale tax is 7.5%

The cost of purchasing the number of shirts after discount will be

[tex]\rm Cost = 50*(1-0.75 )\\\\Cost = 97.5[/tex]

The cost of purchasing the number of shirts after the sale will be

[tex]\rm Cost = 37.5*(1.075)\\\\Cost = 40.3125[/tex]

The cost of purchasing the number of shirts after discount and sale tax is $40.3125.

More about the percentage link is given below.

https://brainly.com/question/8011401

Is 690,269 divisible by 9? Yes or No?
False, But I do not know why, I do not know whether it is false or not, but I think it is false.

Answers

Answer:

False.

Step-by-step explanation:

It is false because when dividing an odd number by an odd number, it usually isn't divisible. In this case, 690,269. Is an odd number, because the last number, 9, is odd, which makes the whole thing odd. So, odd divided by odd never turns out well. (By the way the answer is 76,696.5555556).

I WILL MARK BRAINLIEST
pls, help me with this. I'm Lost

Answers

Answer:

f(x)=2x−5 if x≤−3

Since the value of x is -3, the first function will be the correct option.

Step-by-step explanation:

The given function is -

f(x)=2x−5 if x≤−3

f(x)=−3x+4 if x>−3

Now we have to evaluate f(-3).

Since we have to calculate the value of f at x = -3, we have to choose the first function.

That is f(x) = 2x - 5.

Hence,

f(−3)=2∗(−3)−5=−6−5=−11

Therefore we have the value

f(−3)=−11

Since the domain of the function is divided into two parts, we have to choose any one function for a given value of x,

For values of x less than or equal to -3, we will use the first function. That is,

f(x)=2x−5 for all x∈(−∞,−3]

And for values of x greater than -3, we will use the second function. That means,

f(x)=−3x+4 for all x∈(−3,∞)

Can u please help with the ones I haven’t answered. 17,19-25

Answers

Answer:

17. 20v² + 11v - 3

19. 9x² - 3x - 30

25. 12x³ - 15x² + 2x

(i use app I'm sorry if I'm wrong)

30 discs coloured green or yellow are placed in a bag so that 5/6 of the discs are yellow. What is the ratio of green to yellow discs in the bag?

Select one:
a. 6:5
b. 1:5
c. 5:1
d. 5:6

Answers

the answer is a. 6:5
Answer is 6:5 is correct answer

Can someone please help me with this ty!

Answers

Answers:

first box = 240second box = n+p

Explanation:

For the first box, we add the two values 90 and 150 to get 240.

The same goes for the second box as well, except we cannot combine n and p together. We leave it as n+p. If we knew what numbers replaced n and p, then we could simplify further.

A computer repair shop charges a flat rate of $50 plus $35 per hour spent repairing each computer. How much will the repair shop charge if the shop does 2.5 hours of work?

Answers

So we know no matter what, there will be a flat charge of $50, and then $35 for ever hour

Since it is 2.5 hours of work, it will cost 35 * 2.5, but we need to include the flat rate so we get the expression

50 + (35*2.5) = 50 + 87.5 = $137.50

How many inches smaller is a 6.17 inch worm than a 10.63 inch worm?

Answers

The worm is approximately 4.46 inches smaller than the other one.

Linear or nonlinear?

Answers

Nonlinear, you can use the Desmos graphing calculator
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