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scZoUnD [109]
3 years ago
15

Homework: Chapter R Review Homework

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0
Answer to your problem is:
31/121
You might be interested in
A = √7 + √c and b = √63 + √d where c and d are positive integers.
mrs_skeptik [129]

Answer:

\displaystyle a:b=\frac{1}{3}

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]

b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]

\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]

From [3]:

9c=d

Replacing into [2]:

b=\sqrt{63}+\sqrt{9c}

We can express 63=9*7:

b=\sqrt{9*7}+\sqrt{9c}

Taking the square root of 9:

b=3\sqrt{7}+3\sqrt{c}

Factoring:

b=3(\sqrt{7}+\sqrt{c})

Find the ration a:b:

\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}

Simplifying:

\boxed{a:b=\frac{1}{3}}

3 0
3 years ago
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
Whitepunk [10]

The ratio of the sides of the given similar triangles is: C. 4/12 = 5/15 = 1/3.

<h3>How do the Sides of Similar Triangles Relate?</h3>

The corresponding sides of similar triangles have ratios that are equal to each other.

The corresponding sides and their ratios are:

4/12 = 1/3

5/15 = 1/3

Therefore, the ratio of their sides in its lowest term is:

C. 4/12 = 5/15 = 1/3

Learn more about the similar triangles on:

brainly.com/question/2644832

#SPJ1

4 0
1 year ago
Which values of a and b make this system of equations have infinitely many solutions?
Afina-wow [57]

9514 1404 393

Answer:

  a = 3, b = -8

Step-by-step explanation:

Solving the first equation for y, we get ...

  2y +16 = 6x . . . . . given

  y = 8 +3x . . . . . . . divide by 2

  y = 3x -8 . . . . . . . subtract 8

In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:

  y = ax +b

  a = 3, b = -8

6 0
3 years ago
Need help ASAP please
OlgaM077 [116]

Step-by-step explanation:

sue = 18 sweets

tony= 18 sweets

(sue)      S= (18 - x)-5

(tony)     T=(18 + x) ÷ 2

hope this helps :)

6 0
3 years ago
The average of four numbers is 98. If three of the numbers are 86,87,and 91 what is the fourth number?
timurjin [86]
To find the average, you have to add all the numbers up and then divide by the amount of numbers you added together.

Equation: (86+87+91+x)/4=98
Solve for x:
86+87+91+x=98*4
264+x=392
x=392-264
x=128

The fourth number is 128
7 0
3 years ago
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