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kondaur [170]
3 years ago
12

Find the value of x. A. 7 B. 9 C. 11 D. 12

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

x=9 i.e. option B is the answer.

Explanation:

Given that in triangle ABC, sides AB and BC are 36 and 28 units.

BD is angle bisector of angle B meeting AC at point D

Also AC = 16 cm.

We know that by angle bisector theorem,

AB/AC = BD/DC

Or x/DC = 36/28

By compendo and dividendo principle, we rewrite as

Or x/x+DC = 36/(28+36)

x/16 = 36/64

x = 36(16)/64 = 9 units.

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Enter the rational number as a decimal. Then tell whether the decimal is a terminating or a repeating decimal.
Bingel [31]

Answer:

3

Step-by-step explanation:

the answer is 3, you can also search up the answers on the internet or use an online calculator

7 0
3 years ago
The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.​
Sedaia [141]

Answer:

l = 29.4 yards

w = 66.8 yards

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Perimeter of a Rectangle: P = 2w + 2l

Step-by-step explanation:

<u>Step 1: Define</u>

P = 163 yards

w = 2l + 8

l = l

<u>Step 2: Set up equation</u>

P = 2w + 2l

163 = 2(2l + 8) + l

<u>Step 3: Solve for </u><em><u>l</u></em>

  1. Distribute 2:                              163 = 4l + 16 + l
  2. Combine like terms:                 163 = 5l + 16
  3. Subtract 16 on both sides:        147 = 5l
  4. Divide both sides by 5:             147/5 = l
  5. Rewrite:                                      l = 147/5
  6. Evaluate:                                    l = 29.4 yards

<u>Step 4: Find </u><em><u>w</u></em>

  1. Define:                    w = 2l + 8
  2. Substitute:              w = 2(29.4) + 8
  3. Multiply:                  w = 58.8 + 8
  4. Add:                        w = 66.8 yards
4 0
3 years ago
Ian often buys in large quantities. A few months ago he bought several cans of frozen orange juice for $24. The next time Ian pu
ANEK [815]
For the answer to the question above asking, w<span>hat was the price per can and the numbers of cans purchased each time?
let x be the number of cans he bought
the let us go to the 2nd statement which is t</span><span>he next time Ian purchased frozen orange juice, the price had increased by $0.10 per can and he bought 1 less can for the same total price.
The equation for this is .10(x-1) = 24
So now let's solve, 
</span> .10(x-1) = 24
.10x - .10 = 24
.10x = 24+ .10
.10x = 24.10
Then divide both sides by .10
So the answer for this question is 
241 cans of juice


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If the altitude of a star is 37 degrees, what is the angle between the star and zenith?
scoundrel [369]

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C

Step-by-step explanation:

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Which definition best describes vertical angles?
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The correct answer is d
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