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mr Goodwill [35]
3 years ago
12

What is the missing angle 78+31+x=180

Mathematics
1 answer:
icang [17]3 years ago
8 0

Answer:

71

Step-by-step explanation:

78+31=109 so 180-109=71

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What is the perimeter of this figure
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Help ASAP! I’m confused. Thanks!!
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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of the flag pole at an angle of el
7nadin3 [17]

Answer:

15.2 m

Step-by-step explanation:

You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.

m<EFD = 45 deg

m<EFC = 135 deg

m<FEC = 15 deg

m<ECD = 30 deg

We now use the law of sines to find EC

(sin 15)/10 = (sin 135)/EC

EC = 27.32

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7 0
3 years ago
Suppose that f(x) = x + 4 and g(x) = -x + 3. Find (f )(g)(4).
stellarik [79]

Answer:

-12

Step-by-step explanation:

I am assuming that you want (f*g)(4), which is the product of f and g at x = 4.

If this is actually the case, then one way to evaluate (f*g)(4) is to find f(4) and g(4) separately and then multiply the results together.  This gives us

f(4)*g(4) = (8 + 4)*(-4 + 3) = -12

3 0
3 years ago
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