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Sergeeva-Olga [200]
3 years ago
5

Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!

Mathematics
1 answer:
VikaD [51]3 years ago
7 0

Answer:

C

Step-by-step explanation:

using the cosine ratio to find p

cos 45° = \frac{adjacent}{hypotenuse} = \frac{6}{p}

cross- multiplying gives

p × cos45° = 6 → [ cos 45° = \frac{1}{\sqrt{2} }]

p × \frac{1}{\sqrt{2} } = 6

multiply both sides by \sqrt{2}

⇒ p = 6\sqrt{2} ( third option on list )


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angle EFG and angle GFH are a linear pair, m angle GFH= 2n+38 and m angle GFH=2n+38. what are m angle EFG and m angle GFH
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Answer:

Part 1) m∠EFG=94°

Part 2) m∠GFH=86°

Step-by-step explanation:

we know that

m∠EFG+m∠GFH=180° -----> by linear pair (given problem)

we have

m∠EFG=3n+22

m∠GFH=2n+38

substitute the values

(3n+22)°+(2n+38)°=180°

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5n=180-60

5n=120

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<em>Find the measure of angle EFG</em>

m∠EFG=3n+22

substitute the value of n

m∠EFG=3(24)+22=94°

<em>Find the measure of angle GFH</em>

m∠GFH=2n+38

substitute the value of n

m∠GFH=2(24)+38=86°

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-x^2+4x-8 <br>axis of symmerty​
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Answer:

\boxed {\boxed {\sf x=2}}

Step-by-step explanation:

The axis of symmetry can be calculated using the formula:

x=\frac{-b}{2a}

First we must determine a and b from the quadratic: -x^2+4x-8. This is in standard form, with the highest power first in descending order.

Standard form is also: ax^2+bx+c

If we compare this to the quadratic given, we can conclude that:

a= -1 \\b= 4 \\c= -8

Substitute the values for a and b into the formula.

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Divide.

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