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Temka [501]
3 years ago
14

The measure of an interior angle of a triangle is 10n the measure of the corresponding exterior angle is 30 more then half the m

easure of the interior angle. What are the interior and exterior angles?
Mathematics
1 answer:
prohojiy [21]3 years ago
5 0

Answer:

Interior angle 100 degrees

Exterior angle 80 degrees

Step-by-step explanation:

we know that

The sum of an exterior angle of a triangle and its adjacent interior angle is 180 degrees.

we have that

10n+(5n+30)=180

solve for n

10n+5n=180-30

15n=150

1n=10

<em>Find the measure of the interior angle</em>

10n=10(10)=100^o

<em>Find the measure of the exterior angle</em>

(5n+30)=5(10)+30=80^o

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3 years ago
Plz explain it to me? and answer
Viefleur [7K]
The question states that both parts of Noshi's desk were shaped like trapezoids and both had a height of 3.

We know that the formula for area of a trapezoid is (a+b)/2 * h, where a and b are bases of the trapezoid and h is the height. Note: This is like any other form of trying to find the area, because we are doing base times height, however, we need to divide the sum of the bases by 2 to find the average base length.

Let's call the first trapezoid on the left Trapezoid A and the second slanted trapezoid Trapezoid B.

Area of Trapezoid A = (a+b)/2 * h = (5+8)/2 * 3 = 13/2 * 3 = 6.5 * 3 = 19.5 feet
Area of Trapezoid B = (a+b)/2 * h = (4+9)/2 * 3 = 13/2 * 3 = 6.5 * 3 = 19.5 feet

To find the area of Noshi's total desk, we simply need to add the areas of Trapezoid A and Trapezoid B together.

19.5 feet + 19.5 feet = 39 feet

Therefore, the area of Noshi's desk is 39 feet.

Hope this helps! :)
7 0
3 years ago
5. Use the Pythagorean theorem to estimate the length of the unknown side of the right triangle. Explain why
photoshop1234 [79]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

6 = b

c= 8

a=?

now u just replace

a^2 + 6^2 = 8^2

a^2 + 32 = 64

a ^2 = 64-32

a^2 = 32

\sqrt a^{2}  = \sqrt32

a     = 5.65685424949

if you rounded

a = 5,7

3 0
2 years ago
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Ghella [55]
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3 0
3 years ago
A 13-ft ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7-ft less than the distanc
Olin [163]

Answer:

12 feet

Step-by-step explanation:

As a  ladder is leaning against a house, it forms right angle triangle. And for right angleΔ, we use Pythagoras theorem.i.e

P²+B²= H²

Where,

'P' is perpendicular i.e the distance  from the top of the ladder to the ground

'B' is base i.e be the distance from the bottom of the ladder to the house

'H' is hypotenuse i.e 13

considering 'x' as perpendicular

So, base would be 'x-7'

Applying Pythagoras theorem,

x² + (x-7)²= 13²

x² +x² -14x +49 =169

2x² -14x -120= 0

x² -7x -60=0 ----> solving the quadratic equation

x² + 5x -12x-60=0

x(x+5) -12(x+5)=0

Either : x+5=0 => x=-5

OR: x-12=0 => x=12

We'll choose the positive length.

therefore , The distance from the bottom of the ladder to the house is 12 feet

6 0
3 years ago
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