3 years ago

What is the answer for #15

Mathematics

1 answer:

yawa3891 [41]3 years ago

5 0

I think the answer is 116 meters square I am not for sure though

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point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure

Triss [41]

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

$\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}$

$x = 2 \text{ or }x = 6$

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

5 0

4 years ago

A shirt cost $18.99 with a 6.5% sales tax. What is the final cost?

velikii [3]

Answer:

$20.22

Step-by-step explanation:

You multiply 18.99 with 0.065 to see how much extra money you have to pay. Then you add it back to 18.99 for the final cost.

3 0

3 years ago

Please could you answer both... I’ve no clue

sp2606 [1]

To be honest idk I’m just doing this to finish

4 0

3 years ago

Stephanie sold half of her comic books and then bought fifteen more. She now has 25. How many comics did she have originally?

k0ka [10]

Answer: 5

Step-by-step explanation:

25-15= 10

half of 10 is 5

so she originally had 5

6 0

4 years ago

Z+(z-6)-2=-10<br> work out the problem and show it to me

Akimi4 [234]

Answer:

z = - 1

Step-by-step explanation:

z + (z - 6) - 2 = - 10 ← remove the parenthesis on left side

z + z - 6 - 2 = - 10 , that is

2z - 8 = - 10 ( add 8 to both sides )

2z = - 2 ( divide both sides by 2 )

z = - 1

3 0

3 years ago