A) For AQRS use the Triangle Proportionality Theorem to solve for x.

Mathematics

1 answer:

xenn [34]2 years ago

8 0

Answer:

a. x = 14

b. Perimeter = 77

Step-by-step explanation:

a. Based on the Triangle Proportionality Theorem:

$\frac{2x - 2}{13} = \frac{21 - 7}{7}$

$\frac{2x - 2}{13} = \frac{14}{7}$

$\frac{2x - 2}{13} = 2$

Cross multiply

$2x - 2 = 2(13)$

$2x - 2 = 26$

Add 2 to both sides

$2x = 26 + 2$

$2x = 28$

Divide both sides by 2

x = 14

b. Perimeter of ∆QRS = RQ + QS + RS = (2x - 2) + 13 + 17 + (21 - 7) + 7

Plug in the value of x

= (2(14) - 2) + 13 + 17 + 14 + 7

= 26 + 13 + 17 + 14 + 7

= 77

You might be interested in

What is a common factor?

dybincka [34]

Factors are the numbers you multiply together to get another number. When you find the factors of two or more numbers, and then find some factors are the same ("common"), then they are the "common factors<span>"

</span>Example: 12 and 30
• The factors of 12 are: 1, 2, 3, 4, 6 and 12
• The factors of 30 are: 1, 2, 3, 5, 6, 10, 15 and 30
<span>So the common factors of 12 and 30 are: 1, 2, 3 and 6
</span>
-Hope this helped.

7 0

3 years ago

Ja'Kiree has a bunch of quarters and nickels in her piggy bank totaling $8.75. If Ja'Kiree has 26 quarters, how many nickels doe

evablogger [386]

Start off by stating your facts. You have a maximum of $8.75. We know that each quarter is 25 cents so we multiply 25x26 equaling 650. Yet we need a decimal so it would be $6.50. Each nickel is worth 5 cents so then you would minus $8.75 and $6.50 getting us to $2.25. Now divide it by 5 cents and you should get 45 nickels. You can also do this by stating that 10 nickels is 50 cents and go until you get 45

6 0

2 years ago

Evaluate the function at the indicated values if possible. If an indicated value is not in the domain, say so.

goldfiish [28.3K]

Answer:

f(-7)=0.

f(2)=-9/5.

f(3) doesn't exist because 3 isn't in the domain of the function.

Step-by-step explanation:

$f(x)=\frac{x+7}{x^2-9}$ is the given function.