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3 years ago

The measure of the exterior angle of the triangle is

Mathematics

2 answers:

lutik1710 [3]3 years ago

5 0

Answer:

Step-by-step explanation:

Hi! So far, in the question provided, you have two of the three angles that you need to find x. To find x, you need all three interior angles of the triangle. When you look at the image, you can see that (7x-16) is a complementary angle to the interior angle we need. To find the final angle of the triangle, you are going to take 180 - (7x-16). This is going to give you the interior angle to be (196-7x).

Now that we know all three angles for the inside of the triangle, we can find the value of x. We know that all of the angles inside of a triangle add up to 180 degrees. This is going to help you find x:

180 = (x+8) + (4x) + (196-7x)

180 = x + 8 + 4x + 196 - 7x

180 = -2x + 204

-24 = -2x

12 = x

Now that we have have the value of x, we can solve for the exterior angle.

(7(12) - 16) = 68 degrees

Hope this helps!

just olya [345]3 years ago

4 0

Answer:

68°

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that's supplementary to the third interior angle

4x + x + 8 = 7x - 16 add like terms

5x + 8 = 7x - 16 export like terms to the same side

8 + 16 = 7x - 5x

24 = 2x divide both sides by 2

12 = x

The measure of exterior angle 7x - 16 ➡ 7 × 12 - 16 = 68°

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Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

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Force of Jill in y =F₂y=-82.3*sin45°= + 58.19 N (+y)

Force of Jane in x =F₃x=125*cos45°= + 88.4 N (+x)

Force of Jane in y =F₃y=125*sin45°= + 88.4 N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

$F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2} }$

$F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2} }$

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3 years ago

In A 4 year period, About 80,000 acres of coastal wetlands in United States are lost each year. what integer represents the tota

mixer [17]

we are given

In A 4 year period, About 80,000 acres of coastal wetlands in United States are lost each year.

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total time = 4 years

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3 years ago

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Romashka-Z-Leto [24]

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2 years ago

What is the perimeter of 2 1/2 and 5 1/3

Usimov [2.4K]

I am so sorry this is the wrong answer

8 0

3 years ago

You need to split it in half then multply then add

Harrizon [31]

Answer:

130^2 or 130 meters squared

Step-by-step explanation:

I decomposed the figure, then found the area of the decomposed figures then found the sum of them.

FIGURE A:

3 x 3 = 9

= 9^2

FIGURE B:

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So 121 + 9 = 130

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REMEMBER!!!!

THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA

8 0

3 years ago