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Elena-2011 [213]
3 years ago
5

If angle A B C is congruent to angle C B D, find x.

Mathematics
1 answer:
Svetlanka [38]3 years ago
6 0
4 x + 30 = 5x + 20
-5x           -5x

-x + 30 = 20
     -30     -30

- x = -10

x = 10
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What is the result when the number 100 is decreased by 10%?
Temka [501]

Answer:

10% of 100 is 90

Step-by-step explanation:

100 · 0.10 = 10

100 - 10 = 90

5 0
2 years ago
Help me please with the question I will mark BRAINLIEST ​
Semmy [17]

Answer:

  • 4^12
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Step-by-step explanation:

apply the indices law

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6 0
3 years ago
If the angle of elevation of the sun is 61.7° when a building casts a shadow of 56.5 feet, what is the height of the building ro
maksim [4K]

SOLUTION

Let us use a simple diagram to interprete the question

In the diagram above, the dark stuff below represents the shadow and the rectangular bar represents the building. I have labelled the height of the building as h.

So we will use the right-angled triangle formed to find h

As we can see h represents the opposite side and 56.5 feet represents the adjacent side of the right-angle triangle. So we will use TOA

\text{TOA tan }\theta=\frac{opposite}{\text{adjacent}}

So we have

\begin{gathered} \text{ tan }\theta=\frac{opposite}{\text{adjacent}} \\ \text{ tan }61.7\degree=\frac{h}{56.5} \\ 1.8572015=\frac{h}{56.5} \\ \text{cross multiplying, we have } \\ h=1.8572015\times56.5 \\ h=104.931887 \end{gathered}

Hence the answer is 104.9 feet to the nearest tenth

4 0
1 year ago
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MrMuchimi

Answer:

ifk

Step-by-step explanation:

8 0
3 years ago
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Marysya12 [62]

Answer:

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Step-by-step explanation:

sin Θ cot Θ + 5 cos Θ =

= sin Θ × cos Θ / sin Θ + 5 cos Θ

= cos Θ + 5 cos Θ

= 6 cos Θ

3 0
3 years ago
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