Pls help asapWhich of the q-values satisfy the following inequality?

Can anyone help me with these two plz

Evgen [1.6K]

Answer:

Part 1) The scale factor is $1.5$

Part 2) The altitude QS is $4\ units$

Part 3) The scale factor is $\frac{2}{3}$

Part 4) The value of x is $12\ units$

Part 5) The perimeter of ABCDE is $46\ units$

Step-by-step explanation:

Part 1) Find the scale factor of triangle TQR to triangle NQP

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{NP}{RT}$

substitute the values

$z=\frac{24}{16}=1.5$

Part 2) Find the length of the altitude QS

we know that

To find the altitude QS, divide the altitude of triangle NQP by the scale factor

so

$QS=\frac{6}{1.5}=4\ units$

Part 3) Find the scale factor of FGHJK to ABCDE

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

z-----> the scale factor

$z=\frac{AB}{FG}$

substitute the values

$z=\frac{10}{15}=\frac{2}{3}$

Part 4) Find the value of x

we know that

The value of x is equal to multiply the length side FK by the scale factor

so

$AE=FK(z)$

substitute the values

$AE=18(2/3)=12\ units$

Part 5) Find the perimeter of ABCDE

we know that

If two figures are similar, then the ratio of its perimeters is equal to the scale factor

Let

z-----> the scale factor

x-----> the perimeter of ABCDE

y-----> the perimeter of FGHJK

$z=\frac{x}{y}$

we have

$z=\frac{2}{3}$

$y=15+9+12+15+18=69\ units$

substitute the values

$z=\frac{x}{y}$

$x=(z)(y)=\frac{2}{3}(69)=46\ units$

6 0

4 years ago

If MP = 5.9, what is RN?

myrzilka [38]

Answer:

A

Step-by-step explanation:

It would be A, because the two bisector lines that cut through this trapezoid are the same length, so 5.9-4.1=1.8. So the length of RN would be 1.8. Hope this helps!

6 0

3 years ago

PLZ HELP I NEED TO PASS MATH LOL, What is the value of the expression (−10)(−7)? Enter your answer in the box.

nikklg [1K]

70

Two negatives make a positive

7 0

3 years ago

Write the contrapositive of the major premise of this syllogism to help determine whether the following argument is valid or inv

Rufina [12.5K]

Its valid i think I'm not 100% sure tho

5 0

4 years ago

Read 2 more answers

You are paid $8.50/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax wi

dexar [7]

<span>$8.50/hr multiplied by 16 hours worked equals $136. $136 minus (7.65%)(136) equals $125.60. $125.60 minus (9.15%)(136) equals $113.16. Travel expenses of $6.00 multiplied by 4 equals $24. $113.16 minus 24 equals $89.16 net income.</span>

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4 years ago