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photoshop1234 [79]
3 years ago
10

In ΔCDE, m∠C = (9x+11)^{\circ}(9x+11) ∘ , m∠D = (3x-15)^{\circ}(3x−15) ∘ , and m∠E = (2x+16)^{\circ}(2x+16) ∘ . What is the valu

e of x?
Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

x = 12

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

9x + 11 + 3x - 15 + 2x + 16 = 180, simplify left side

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

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Whitepunk [10]
2,000 - 1,735 = 265.
6 0
3 years ago
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A pie was cut into two equal pieces. Each of the pieces of pie was cut into halves again, and each of those smaller pieces was c
Verdich [7]

3/4

Step-by-step explanation:

If you cut a whole pie into two you get two (2) ½ pieces

1 ÷ 2 = ½

When you cut the two ½ pieces into two you get four (4) ¼ pieces;

½ ÷ 2 = ¼

When you cut the four ¼ pieces into two you get 8 1/8 pieces;

¼ ÷ 2 = ¹/8

Therefore the whole pie at this point is made up of 8 ¹/8 pieces. When two (2) of these pieces are eaten we are left with 6 ¹/8 pieces;

8 – 2 = 6

The portion of the pie left therefore is;

6 * ¹/8 pieces

= ⁶/8

= ³/4

8 0
3 years ago
The pentagon shown could be reflected over which line to be carried onto itself?
Svetach [21]

Answer:

paraell

Step-by-step explanation:

3 0
3 years ago
Evaluate the following expression. 8to the power of 3 − 9 ⋅ 2 ÷ 3 = ?
ahrayia [7]

Answer:

8^-3  I think  (i'm too lazy to simplify)

Step-by-step explanation:

3 - 9 * 2 ÷ 3 = ?

3 - 18 ÷ 3 = ?

3 - 6 = -3

8 to the power of -3

hmmmm i dont think im right tell me if im not

3 0
3 years ago
If gas prices are now $3.75 and they were up 10% from 6 months ago, how much were gas prices 6 months ago?
Hatshy [7]

Given

gas prices are now $3.75 and it up 10% from 6 months ago.

Find out how much were gas prices 6 months ago.

To proof

gas prices now = $3.75

let the gas price 6 month ago = x

gas price now is rise up 10% from 6 months ago

First write 10% in simpler form

= \frac{10}{100}

= 0.1

Now the equation becomes

0.1x + x = 3.75

1.1x = 3.75

x =\frac{3.75}{1.1}

x = 3.41 (approx)

Thus gas prices 6 months ago be $ 3.41 (approx )

Hence proved

7 0
3 years ago
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