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Romashka-Z-Leto [24]
4 years ago
10

If the measure of an angle is 13 degrees, find the measure of its supplement

Mathematics
1 answer:
Sergeu [11.5K]4 years ago
8 0

Answer: 167^{0}

Step-by-step explanation:

Two angles are said to be supplementary if they add up to be  180^{0}. If the first angle is x and the second angle is y , then :

x  + y =  180^{0} , together the angle will form a straight line.

From the question , the first angle is  13^{0} , if the second angle is x, then

x + 13 = 180

x = 180 - 13

x =  167^{0}

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See image, finding the height of a triangle with law of sines
djyliett [7]

Answer:

height of the Eiffel tower ≈ 300.0 m(nearest tenth of a meter)

Step-by-step explanation:

The triangle TDE is not a right angle triangle. Angle TDE can be gotten by subtracting 63° from 180°. Angle on a straight line is 180°. Therefore, 180° - 63° = 117

°.

angle TDE = 117°

angle DTE = 180° - 117° - 31° = 32°

DE = 346.4 m

Side TD can be find using sine law

346.4/sin 32° = TD/sin 31°

cross multiply

346.4 × 0.51503807491  = 0.52991926423TD

178.409189149  = 0.52991926423TD

divide both sides by 0.52991926423

TD = 178.409189149/0.52991926423

TD  =  336.672397461

TD ≈ 336.67 m

The side TD becomes the hypotenuse of the new right angle triangle formed with the height of the Eiffel tower.

Using sin ratio

sin 63° = opposite/hypotenuse

sin 63° = h/336.67

cross multiply

h = 336.67 × 0.89100652418

h = 299.975166498

height of the Eiffel tower  ≈ 300.0 m(nearest tenth of a meter)

4 0
3 years ago
The cost of belonging to a gym can be modeled by C(m)= 50m + 79.50, where C(m) is the total cost for m months of membership. Sta
erik [133]

Answer:

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

Step-by-step explanation:

C(m)= 50m + 79.50,

This is written in the form y= mx+b where m is the slope and b is the y intercept.

The slope is 50, which is the cost per month of the gym membership, and 79.50 is the y intercept.  It represents the initial cost to join the gym.

3 0
4 years ago
What is an equation of the line that passes through the points (6, -5) and (3,0)?
Aliun [14]

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (6,-5) and (3,0) is;

(y - y1) =  \frac{y2 - y1}{x2 - x1} (x - x1)

[Using double point formula]

Now, Put all values,

(y  + 5) =  \frac{0 + 5}{3 - 6} (x - 6)

Simplify it to get equation.

(y + 5) =   - \frac{5}{3} (x - 6)

3(y + 5) =  - 5(x - 6)

3y + 15 =  - 5x + 30

5x + 3y + 15 - 30 = 0

5x + 3y - 15 = 0

Therefore the required equation is 5x + 3y - 15 = 0.

<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

7 0
3 years ago
Read 2 more answers
If angle B measures 120 degrees, find
SpyIntel [72]

Answer:

C. 120°

Step-by-step explanation:

There are two paralell lines, one is part of Angle B, and the other of Angle Q. Then there is a diagonal line, coming at the same angle from B all the way to Q, because the other two lines are paralell. It basically means if you were to slide the flat line which is connected to Q up the diagonal line, it would fit perfectly with it's parallel. So the two angles; Angle B and Angle Q; are the exact same.

Hope this helped! Good luck with future math problems :)

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4 years ago
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5. A square pyramid has a slant height of 5 meters. The perimeter of the base is 32 meters. Find the surface area of the pyramid
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Step-by-step explanation:

Answer to A square-based pyramid has a slant height of 10 meters and a side base of 16 meters. What is the surface area? by Janet Heberling https://www.quora.com/A-square-based-pyramid-has-a-slant-height-of-10-meters-and-a-side-base-of-16-meters-What-is-the-surface-area/answer/Janet-Heberling-1?ch=15&oid=253187394&share=f14a7431&srid=hdLI1f&target_type=answer

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3 years ago
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