An angle bisector of a triangle divides the opposite side of the triangle into segments2 cm and 5cm long. The second side of the triangle is 7.5 cm long. Find all possible lengths for the third side of the triangle.

Answers

Answer 1

Answer:

3 cm or 18.75 cm

Step-by-step explanation:

Let the third side is x.

According to Triangle-angle-bisector theorem, we have the possible ratios:

x/7.5 = 2/5

or

x / 7.5 = 5/2

Solve for x in each case:

1)

x = 7.5*2/5 = 3 cm

2)

x = 7.5*5/2 = 18.75 cm

Related Questions

can someone please help me asap, thank youu!!!

Answers

Answer:

2 or (3-^7)²

Step-by-step explanation:

Hope it helped u

Step-by-step explanation:

(a + b) (a - b) = a² - b² (identity)

3² - (√7)²

9 - 7

2 ans.

hope this helps you !

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.

help me pls !!

find x and y

y= -3x=-19
5x+8y=0

Answers

Answer: (x,y)= (152/29, -95/29)

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

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).

In 2010, the population of a city was 114,000. From 2010 to 2015, the population grew by 7.7%. From 2015 to 2020, it fell by 6.6%. How much did the population grow from 2010 to 2015, to the nearest 100 people?

Answers

Answer:

From 2010 to 2015 the population grew by 8778 (rounded answer 8800)

Step-by-step explanation:

*

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

Solve 2(n+17)/8 = 3/8. Show your work

Answers

2(n+17/8 equals 3/8 solution -31/2 =-15.5

Answer:

n=-31/2 or -15 1/2

Step-by-step explanation:

reduce the numbers

2*n+17/4=3/8

n+17/4=3/8

8(n+17) =17

8n+136 =12

8n=12-136

8n=-124

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

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~

Someone solve for a and b pls

Answers

Answer:

  a) rise 5, run 5, slope 1

  b) rise 10, run 5, slope 2

Step-by-step explanation:

The rise is the vertical difference between the points. It is the length of the vertical side of the triangle you have drawn. You can determine that length by counting grid squares or by finding the difference of the y-coordinates of the points.

The run is the horizontal difference between the points. It is the length of the horizontal side of the triangle you have drawn. You can determine that length by counting grid squares or by finding the difference of the x-coordinates of the points.

a)

rise = 5; run = 5. (counting grid squares)

slope = rise/run = 5/5 = 1

__

b)

rise = 10; run = 5. (taking coordinate differences: 5-(-5) = 10; 4-(-1) = 5)

slope = rise/run = 10/5 = 2


Can anyone help me please, and quickly

Answers

Answer:

y=10x

Step-by-step explanation:

The line is going up 10 units per x coordinate. It should be y=10x. Even though the y=mx+b exists as the method but there is no b coordinate.

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

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.

Old MacDonald had a farm with some raspberry bushes. During the summer 5 of the bushes died from the heat. Each bush produces 6 pounds of raspberries in the fall. MacDonald gathered 96 pounds of raspberries that fall. How many bushes did he have before summer?​

Answers

96/6=16
16+5=21
he had 21 bushes during the summer

Answer:

21

Step-by-step explanation:

5 bushes ×6 pounds is =30 pounds

30pounds + 96pounds = 126pounds

126pounds ÷6 = 21bushes

Old Macdonald had 21 bushes before summer

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

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. :))

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

geometry! will give brainlist!!

Answers

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

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

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! :)

In the diagram below , TR and PS intersect at Q to form
four angles. The diagram is not to scale.

Use the information in the diagram to calculate
each value

Answers

Check the picture below.

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

Find the Least Common Multiple (L.C.M) and Highest Common Factor (H.C.F) of 20 and 30.​

Answers

Answer:

LCM: 60

HCF: 10

Step-by-step explanation:

Listing Multiples

LCM:

Multiples of 20:

20, 40, 60, 80, 100

Multiples of 30:

30, 60, 90, 120

Therefore,

LCM(20, 30) = 60

----------------------------------------

Factorization

HCF:

The factors of 20 are: 1, 2, 4, 5, 10, 20

The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30

Then the greatest common factor is 10

Graph
2x + y = -1
3x + 2y = -6

Answers

Answer:

graph below

Step-by-step explanation:

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

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.

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,∞)

Which expression is equivalent to 24a-8b6c4/6a-4b-2c16 for all values of , , and where the expression is defined?

Answers

Answer:

I would choose the second one

Step-by-step explanation:

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