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iogann1982 [59]
2 years ago
12

Help me answer the image below

Mathematics
1 answer:
AfilCa [17]2 years ago
8 0

Answer:

8

Step-by-step explanation:

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I need the angle measurements for each letter in this image
Blizzard [7]

Answer:

To find c you know that angles on a straight line equal 180° (supplementary angles). So 70+30+∠C=180.

Now we can solve this.

100+c=180.

Move the 100 over to the other side.

100-100+c=180-100

Simplify.

∠C=80°

Because we know that the two lines with double arrows are parallel, we can use the rule that alternate interior angles are congruent. This means that ∠E=70.

∠E=70°

Since the total sum of the angles in a triangle are equal to 180°, we know that ∠D+∠C+∠E=180. Because we already know ∠C and ∠E we can put those numbers in for them. 80°+70°+∠D=180°. Now we can solve this.

80+70+D=180

Simplify this.

150+D=180

Now we move the 150 over to the other side to get D by itself.

150-150+D=180-150

Simplify.

D=30

∠D=30°

Now we can find the vertical angle opposite ∠A by using the alternate interior angles rule again this time using the parallel lines with only one arrow on them. The vertical angle opposite ∠A=30°. Since vertical angles are congruent ∠A=30°.

∠A=30°

We are going to use the alternate angles rule one more time to solve for ∠B (this rule is very important when dealing with parallel lines), we could also use the corresponding angles rule but for simplicity we will just stick with the alternate angles rule. Because the vertical angle opposite ∠A is equal to 30°, we can see that the supplementary angle opposite ∠B=30°. Because this angle is supplementary with B we know that 30+B=180.Now we can solve this.

30+B=180

Now we move the 30 over to the other side.

30-30+B=180-30

Simplify.

B=150

∠B=150°

I hope this helps!

7 0
3 years ago
Read 2 more answers
the pressure on a scuba diver at sea level is 14.7 pounds per square inch. The pressure in creases 0.445 psi for each foot of de
never [62]
Should be 14.7÷41.4= 0.355
7 0
3 years ago
A documentary is a film that
DanielleElmas [232]

Answer:

1. the answer is nonfictional story about a person, topic, or event

Step-by-step explanation:

hope this helps

3 0
2 years ago
Think carefully about the angle relationship the following represents.
lisov135 [29]

Answer:

See below ↓↓↓

Step-by-step explanation:

<u>Subquestion #1</u>

  • These angles form a linear pair
  • They are supplementary, and add up to 180°
  • 2x + 48 = 180
  • 2x = 132
  • <u>x = 66</u>

<u></u>

<u>Subquestion #2</u>

  • These angles are complementary, and add up to 90°
  • 35 + 4x + 7 = 90
  • 4x + 42 = 90
  • 4x = 48
  • <u>x = 12</u>

<u></u>

<u>Subquestion #3</u>

  • As in #1, they are a linear pair, and are supplementary
  • 3x + 54 = 180
  • 3x = 126
  • <u>x = 42</u>
4 0
2 years ago
Read 2 more answers
If log(base4)x=2.5 and log(base Y)125=-3/2, find the numerical value of x/y, in simplest form.
Naya [18.7K]
X = (2^2)^(2.5) 
<span>x = 2^(2 * 2.5) </span>
<span>x = 2^5 </span>
<span>x = 32 
</span>y^(-3/2) = 125 
<span>y^(-3) = 125^2 </span>
<span>y^(-3) = (5^3)^2 </span>
<span>y^(-3) = (5^2)^3 </span>
<span>y^(-3) = 25^3 </span>
<span>y = 25^(-1) </span>
<span>y = 1/25 </span>


<span>x/y => </span>
<span>32 / (1/25) => </span>
<span>32 * 25 => </span>
<span>800 is the simplest form of above
</span>
5 0
3 years ago
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