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2 years ago

In parallelogramMNOP , PK=5x and KN=x2−14 . What is PN ?73670100

Mathematics

2 answers:

grigory [225]2 years ago

8 0

answer
C. 70
Just took the quiz so trust me. Good luck!

lisov135 [29]2 years ago

3 0

-4.666666(so forth) or -4.7 if the problem requires you to round.

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In triangle RST, U is the midpoint of RS, V is the midpoint of ST, and W is the midpoint of TR. Use the triangle diagram to answ

Zolol [24]

(1)

we are given

U is the midpoint of RS

and we have

$RU=12$

so, we can use formula

$RS=2RU$

we can plug values

$RS=2\times 12$

$RS=24$ ............Answer

(2)

V is the midpoint of ST

so, we get

$SV=VT$

now, we can plug values

$2x=11$

divide both sides by 2

$x=5.5$ .........Answer

(3)

now, we can find y

W is the midpoint of TR

so, we get

$RW=WT$

we can plug value

$15.9=3y$

divide both sides by 3

$y=5.3$

(4)

we can see that

triangles URW and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{RW}{RT} =\frac{UW}{ST}$

we can plug values

$\frac{15.9}{2\times 15.9} =\frac{UW}{2VT}$

$\frac{15.9}{2\times 15.9} =\frac{UW}{2\times 11}$

$UW=22\times \frac{15.9}{2\times 15.9}$

$UW=11$ ...........Answer

(5)

we can see that

triangles SUV and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{SU}{SR} =\frac{UV}{RT}$

now, we can plug values

$\frac{12}{2\times 12} =\frac{UV}{2\times 15.9}$

$UV=2\times 15.9\times \frac{12}{2\times 12}$

$UV=15.9$ .............Answer

4 0

1 year ago

Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each

sdas [7]

Answer:

Step-by-step explanation:

6 - (2 - 4x)

sophia : 6 + 2 + 4x

sophia's expression is incorrect because she didn't distribute the negative sign thru the parenthesis correctly.

ursula : 6 - (-2x)

ursula's expression is incorrect because....well....I dont know how she got what she got...she possibly subtracted 2 from - 4x and got -2x

a correct equivalent expression is : 6 - 2 + 4x or 4 + 4x

6 0

1 year ago

Read 2 more answers

Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice cos

Readme [11.4K]

The answer is D
Hope this helps! :)

6 0

1 year ago

If the price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings, what

Furkat [3]

Answer:

$229673.215

Step-by-step explanation:

Given : The price of attending Big Benefits University is $42,000 a year, including tuition, fees, books, and foregone earnings

To Find : what is the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate?

Solution:

Principal = $42000

Time = 5 years

Rate = 3% = 0.03

Formula : $A=P(1+r)^t$

$A_1=42000(1+0.03)^1$

$A_1=43260$

$A_2=42000(1+0.03)^2$

$A_2=44557.8$

$A_3=42000(1+0.03)^3$

$A_3=45894.534$

$A_4=42000(1+0.03)^4$

$A_4=47271.370$

$A_5=42000(1+0.03)^4$

$A_5=48689.511$

So , Marginal cost = 43260+44557.8+45894.534+47271.370+48689.511

Marginal cost = $229673.215

Hence the marginal cost of attending, if it takes you 5 years to graduate, and you assume a 3% annual inflation rate is $229673.215

5 0

1 year ago

One of the solutions to x2 − 2x − 15 = 0 is x = −3. What is the other solution?

Bond [772]

Answer:x=5

Step-by-step explanation: x^2−2x−15=0

(x−5)=0 x−5=0 x=5

6 0

1 year ago