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max2010maxim [7]
2 years ago
15

In a triangle, the measures of the three angles are x, x+6 and x-9. What is the measure of each angle?

Mathematics
1 answer:
djyliett [7]2 years ago
5 0

Answer:

Step-by-step explanation:

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Graph and check to solve the linear system <br> x+y=3<br> -2x+y=-6
Alenkinab [10]

Answer:

-x - y = -3

-2x + y = -6

-3x = -9

x = 3

3 + y = 3

y = 0

(3,0)

6 0
3 years ago
Find the width of the rectangular prism when the surface area is 208 square centimeters.
ozzi
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.

208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.

Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.

If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.

If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.

Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
7 0
3 years ago
A boat is 60m from the base of a lighthouse. The angle of depression between the lighthouse and the boat is 37°. How tall is the
LekaFEV [45]

Answer: 34.64 m

Step-by-step explanation:

Given: A boat is 60 m from the base of a lighthouse.

The angle of depression between the lighthouse and the boat is 37°.

By using trigonometric ratios :

\tan x=\dfrac{\text{Side opposite to }x}{\text{Side adjacent to }x}

here x= 37°, side opposite to x = height of lighthouse (h) , side adjacent to x = 60 m

\tan 37^{\circ}=\dfrac{h}{60}\\\\\Rightarrow\ 0.57735=\dfrac{h}{60}\\\\\Rightarrow\ h= 60\times0.57735\approx34.64

Hence, the lighthouse is 34.64 m tall.

6 0
3 years ago
A. -5<br> B. 5<br> C. -2<br> D. 3
Anna71 [15]

Answer:

\textsf {C. -2}

Step-by-step explanation:

\textsf{In the equation y = mx + b, m is the slope and} \\\textsf{b is the value of the y-intercept.}

\textsf {The line has a y-intercept at (0, -2), hence b = -2.}

5 0
2 years ago
Mrs. Perez has 28 students and 5
solniwko [45]

Answer:39 1/5

Step-by-step explanation:

3 0
3 years ago
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