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madam [21]
3 years ago
14

Which side of angle measures could be the interior angles of a triangle?

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0

The sum of all the angles of a triangle is 180 degrees.

If you add 90 + 90 + 90 together you get 270. These can not be the angle measures of interior angles of a triangle because the sum is more then 180.

If you add 80 + 80 + 200 together you get 360. These can not be the angle measures of interior angles of a triangle because the sum is more then 180.

If you add 40 + 50 + 60 together you get 150. These can not be the angle measures of interior angles of a triangle because the sum is less then 180.

If you add 15 +30 + 135 together you get 180! This set of angle measures can the be interior angles of a triangle!

Hope this helped!

~Just a girl in love with Shawn Mendes

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An angle measures 10° less than the measure of its supplementary angle. What is the measure of each angle?​
spin [16.1K]

Answer:

The two angles are 85 and 95 degrees

Step-by-step explanation:

Supplementary angles add to 180

Let x be one angle

The supplement is 10 less,  ( x-10)

They add to 180

x+ ( x-10) = 180

2x -10 = 180

Add 10 to each side

2x-10+10 =180-10

2x= 190

Divide by 2

2x/2 =190/2

x=95

The other angle is 95-10 = 85

The two angles are 85 and 95 degrees

8 0
3 years ago
The line passing the points (-4,5) and (x,-13) is parallel to a line that has a slope of 9/2 what is the value of x ?
Sergeeva-Olga [200]

Answer:

x = - 8

Step-by-step explanation:

Calculate m using the slope formula and equate, since parallel lines have equal slopes.

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)

m = \frac{-13-5}{x+4} = \frac{-18}{x+4} and equating

\frac{-18}{x+4} = \frac{9}{2} ( cross- multiply )

9(x + 4) = - 36 ( divide both sides by 9 )

x + 4 = - 4 ( subtract 4 from both sides )

x = - 8

5 0
2 years ago
Use the following frequency distribution (of SAMPLE DATA) in answering the questions: class 0-9 f=10; class 10-19 f=20; class 20
lutik1710 [3]

Answer:

1. Five classes in the frequency distribution

2.The mid point of the third class is 24.5

3.The total number of frequency is 100

4.The relative frequency of the third class is (20/100=0.2)

5. We use n-1 because we are dealing with a sample data

6. The mean is 24.5

7. The value of the standard deviation is 11

Step-by-step explanation:

See attached picture for the solutions

4 0
2 years ago
Can someone please solve both of these showing all the steps I'll add extra points because its two​
EastWind [94]

Answer:

4. 21

5. 32

Step-by-step explanation:

First question:

sin(x) = opp/hyp = 22/63 = 0.3492

x = sin⁻¹(0.3492)

20.43. Rounded to the nearest degree, it would be 21.

Second question:

sin(x) = opp/hyp = 18/34 = 0.5294

x = sin⁻¹(0.5294)

31.96. Rounded to the nearest degree, it would be 32.

Let me know if you have any problems.

3 0
3 years ago
F(x) = x2 - 4.<br> Find the inverse of the function
Lisa [10]

Answer:

f^{-1}(x) = √ x + 4

Step-by-step explanation:

step 1) replace f(x) with y

y = x² - 4

step 2) switch the x and y (because every (x, y) has a (y, x))

x = y² - 4

step 3) add 4 to both sides of the equal sign

x + 4 = y²

step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)

√ x + 4 = y

step 5) you know have the inverse of f(x) = x² - 4

f^{-1}(x) = √ x + 4

5 0
2 years ago
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