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Mariana [72]
2 years ago
14

PLEASE HELP! Find the degree measure of each numbered angle.

Mathematics
2 answers:
Natasha2012 [34]2 years ago
6 0

Answer:

m∠1 = 76°

m∠2 = 76°

m∠3 = 36°

Step-by-step explanation:

<u>The interior angles in a triangle sum to 180°</u>

⇒ m∠1 + 85° + 19° = 180°

⇒ m∠1 + 104° = 180°

⇒ m∠1 + 104° - 104° = 180° - 104°

⇒ m∠1 = 76°

<u>Vertical Angle Theorem </u>

When two straight lines intersect, they form two pairs of angles.  The vertically opposite (non-adjacent) angles are congruent.

⇒ m∠2 = m∠1

⇒ m∠2 = 76°

<u>The interior angles in a triangle sum to 180°</u>

⇒ m∠2 + m∠3 + 68° = 180°

⇒ 76° + m∠3 + 68° = 180°

⇒ m∠3 + 144° = 180°

⇒ m∠3 + 144° - 144°= 180° - 144°

⇒ m∠3 = 36°

Talja [164]2 years ago
5 0

Answer:

1=76°

2=76°

3=36°

Step-by-step explanation:

To find 1, add the other angles in the triangle and subtract by 180.

85+19=104

180-104=76.

1 is equal to 2 so 2=76

To find 3, add 76 and 68, then subtract by 180.

76+68=144

180+144=36

3=36

Hope this helps!

If not, I am sorry.

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Gekata [30.6K]

Answer:

40 1/3

Step-by-step explanation:

7 1/3 x 5 1/2 =

121 /3 = 40 1/3

7 0
3 years ago
6a+4=61/3+4<br> I don’t know what I’m doing wrong because I keep getting 10 1/3
Vlad1618 [11]

Answer:

a = 3 7/18 or 3.388889

Step-by-step explanation:

First, you want to get the a by itself, so you would subtract 4 from the left side of the equals sign.

6a + 4 = 61 / 3 + 4

    -4                   -4

6a = 61 / 3

By doing that, they cancel each other out, so you are left with

6a = 61 / 3

Then you want to get a by itself, so you divide 6 from both sides.

6a / 6 = 61 / 3  /  6

Remember that 6 can also be written as 6/1

Remember that dividing a fraction is multiplying the reciprocal.

6a / 6 = 61 / 3  /  6 / 1

When dividing fractions remember to Skip the first fraction, Flip the second fraction, and Multiply the two fractions together.

61 / 3      x        1 / 6

skip   multiply   flip

Multiply across the top, and across the bottom.

61(1) and 3(6)

Then you get

61 / 18

So a = 61 / 18

If you want to convert that to a mixed number, it would be 3  7 / 18

If you want that in a decimal, it would be 3.388889

4 0
3 years ago
How do I solve for x?
grandymaker [24]

Answer:

The answer is 98

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees.

The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

62+20=82

180-82=98

98+20+62=180

7 0
3 years ago
A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area
Elenna [48]
Let x =  the length of each side of the square.

Therefore the dimensions of the rectangle are x and x/2.
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2x + 2(x/2) = 15
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The area of the scarf is 3*3 = 9 in²

Answer:
Perimeter = 12 in
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8 0
4 years ago
How do you write (-4)^-5 using a positive exponent?
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Answer:

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Step-by-step explanation:

7 0
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