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postnew [5]
2 years ago
7

I need the angle measurements for each letter in this image

Mathematics
2 answers:
prisoha [69]2 years ago
8 0

Answer:

<b=150

Step-by-step explanation:

Blizzard [7]2 years ago
7 0

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!

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Can someone help me with this? please<br><br>alguien me puede ayudar con esto? porfavorr
soldi70 [24.7K]

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5

<h3>How to plot the numbers on the number line?</h3>

The numbers are given as:

5.3, 5 1/5 and 5

We start by representing the numbers as decimals (i.e. real numbers).

So, we have:

5.3, 5.2 and 5

Reorder the numbers in ascending number (i.e. from least to greatest)

So, we have

5, 5.2 and 5.3

Next, we plot the numbers on a number line using a scale of 0.1

This can be visualized as

5        5.2      5.3

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5

Read more about number line at

brainly.com/question/24644930

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8 0
1 year ago
What's the volume of the following cylinder?
Elan Coil [88]

Answer:

B

Step-by-step explanation:

you have probably finished the quiz by now but anyway

so first flip the picture so that u see the cylinder standing on its base

12 is the diameter and 8 the height

12/2 = 6=radius

finally u do

πrr^{2}h

3.14*6^{2}*8

**i simplified π so the answer will be 904.32**

please vote if you found this helpful :)

5 0
3 years ago
Can y'all plz help me!!!
prohojiy [21]
I think its A.Hope that helps :)
7 0
3 years ago
Read 2 more answers
Right △EFG has its right angle at F, EG=8 , and FG=2 .
d1i1m1o1n [39]

Answer:

Tan E = 2 / 7.75

Sin G = 7.75 / 8

Sec G = 4

Step-by-step explanation:

Find the attached document for better illustration of the triangle

Assuming the hypothenus of the triangle is 8 = EG since it's the longest side of the triangle.

FG = 2 = opposite side of the triangle.

We can use pythagorean theorem to find the adjacent of the triangle since we already know two sides.

EG² = FG² + EF²

EF² = EG² - FG²

EF² = 8² - 2²

EF² = 64 - 4

EF² = 60

EF = √(60)

EF = 7.7459 = 7.75

To find the respective trignometric ratio, we can use the relation SOH CAH TOA

Sine = opposite / hypothenus

Cosine = adjacent/ hypothenus

Tangent = opposite/ adjacent

A. tan E

Tan E = opposite/ adjacent

Tan E = 2 / 7.75

Tan E = 0.2580

B. Sin G = opposite / hypothenus

Sin G = 7.75 / 8

Sin G = 0.9687

C. Sec G = 1 / cos G

Cos G = adjacent / hypothenus

Sec G = 1 / (adjacent / hypothenus)

Sec G = hypothenus/ adjacent

Sec G = 8 / 2

Sec G = 4

5 0
3 years ago
Please help!!! Very much appreciated!! Natalie has a budget of $15,000 dollars to spend on tracking devices to study bison. A ra
DochEvi [55]

Answer:

d.)

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Graphed below (shaded yellow region):

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6 0
1 year ago
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