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Zepler [3.9K]
3 years ago
14

Statements

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

See Explanation

Step-by-step explanation:

The question has unclear information.

So, I'll answer from scratch

Given

ABC = Right angled triangle

DB bisects ABC

Required

Prove that CBD = 45

From the question, we have that:

ABC is right angled at B

So, when DB bisects ABC, it means that DB divides ABC into two equal angles.

i.e.

CBD = ABD

and

CBD + ABD = 90

Substitute CBD for ABD in CBD + ABD = 90

CBD + CBD = 90

2CBD = 90

Divide both sides by 2

\frac{2CBD}{2} = \frac{90}{2}

CBD = \frac{90}{2}

CBD = 45

Hence, it is proved that CBD = 45

<em>Follow the above explanation and use it to answer your question properly</em>

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Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches. Which is the slant h
Nikitich [7]

Answer: 5 inches


Step-by-step explanation:

Given: Volume of clay = 48 cubic inches

If we make a solid square right pyramid with a base edge a= 6 inches.

Then its base area = a^2=6^2=36\ inches^2

we know that volume of square right pyramid=\frac{1}{3}\times\ a^2h

Therefore, volume of square right pyramid made by all of clay=\frac{1}{3}\times\ a^2h=48 cubic inches

\Rightarrow\frac{1}{3}\times\ (36)\times\ h=48\\\Rightarrow12h=48\\\Rightarrow\ h=4\ inches.....\text{[Divide 12 on both sides]}

Now, slant height l=\sqrt{(\frac{a}{2})^2+h^2}

\\\Rightarrow\ l=\sqrt{3^2+4^2}\\\Rightarrow\ l=\sqrt{9+16}\\\rightarrow\ l=\sqrt{25}\\\Rightarrow\ l=5

The slant height of the pyramid if Helen uses all the clay=5 inches

5 0
3 years ago
Read 2 more answers
Parallelly lines/angle problem
rodikova [14]

Answer:

142 degrees

Step-by-step explanation:

4 0
2 years ago
Please answer this correctly for a brainliest ☺️
Dimas [21]
Hello I think the answer would be three.
5 0
3 years ago
Mrs.Cranston bought five bottles of water for $0.90 each and 8 pounds of meat. She paid a total of $26.90 for these items, not i
Morgarella [4.7K]
Water = 5 bottles * $0.90 = $4.50
meat = 8 pounds * x amount.

Total = water + meat prices = $26.90
26.90 = $4.50 + 8x
22.40 = 8x
2.8 = x

The price per pound of meat is $2.80.
6 0
3 years ago
glenn bought a $5 coffee and four magazines. If he spent a total of $25 how much did each magazine cost?
ladessa [460]

Answer:

5 each

Step-by-step explanation:

we will minus the coffee from the total

25 - 5 = 20

there's was 4 magazines so we do...

20 ÷ 4 = 5

5 0
3 years ago
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