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const2013 [10]
3 years ago
5

∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x?

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0
We know that ∠E = ∠F because of the vertical angle theorem.

Using substitution we get 8x + 8 = 2x + 38

Solve for x.

8x + 8 = 2x + 38
8x = 2x = 30 <-- Subtract 8 from each side
6x = 30 <-- Subtract 2x from each side
x = 5 <-- Divide both sides by 6

So, x is equal to 5.
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Identify the value of p. Give your answers in simplest radical form. HELP PLEASE!!
VikaD [51]

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 )


7 0
3 years ago
What do you know to be true about the values of p and q.
Jobisdone [24]

Answer:

A. p = q

Step-by-step explanation:

For each triangle, add the angles together and then subtract the sum from 180°.

First triangle:

60° + 50° = 110°

180° - 110° = 70°

Missing angle = 70°

Second triangle:

80° + 30° = 110°

180° - 110° = 70°

Missing angle = 70°

Hope this helps :)

6 0
3 years ago
8 times the sum of a number and 26 is less than 304.
Jlenok [28]

Answer:

x < 12

Step-by-step explanation:

So 8 times the sum of a number and 26 is less than 304. To find the number, lets write a equation where the "number" is x.
8 times the sum of a number and 26 can be written as 8 * x+26, however since the sum of x and 26 are being multiplied, we write this as 8(x+26). Since 8 times the sum of a number and 26 is less than 304, we set 8(x+26) to < 304. This gives us our equation:

8(x+26) < 304

Lets start to solve for x by dividing by 8, giving us:

x+26 < 38

Now lets isolate x by subtracting 26 from both sides, which gives us our answer:

x < 12

So x is less than 12.

Hope this helps!

7 0
1 year ago
Please answer correct for brainliest
qwelly [4]
For trapezoid, the area = (upper base + lower base) * height / 2

So area = (12 + (2*2 + 12) ) *13 / 2 = 182
3 0
3 years ago
Read 2 more answers
Simplify the expression: 7(3x + 5y)
user100 [1]
I think the answer is 21x+35y
5 0
2 years ago
Read 2 more answers
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