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aliya0001 [1]
2 years ago
11

Prove triangle ABC is congruent to triangle DEC.

Mathematics
1 answer:
Stella [2.4K]2 years ago
8 0

Triangle ABC and DEC are said to congruent since all their sides and angles are equal.

<h3>How to prove the statement</h3>

The angle for triangle ABC lies in angle B

The angle for triangle DEC lies in angle E

From the diagram, angles B and E are alternate angles and alternate angles are equal.

A corresponds to D

B corresponds to E

The measure of their angles are also equal

Note, congruent triangles are triangles with three corresponding sides and angles

Therefore, triangle ABC and DEC are said to congruent since all their sides and angles are equal.

Learn more about congruent triangles here:

brainly.com/question/1675117

#SPJ1

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Cost-volume profit analysis reclined company is planning to produce and sell 11,250 units of its only product at a unit price of
ollegr [7]

Answer:

The contribution margin it's determined by the total amount of Gross Profit divided by the total value of sales.

Profit = $405,000

Sales = 11,250×106 =$1,192,500

Therefore contribution margin ratio = ($405,000/$1,192,500) = 0.34

The Break Even point is given thus;

Fixed cost = 25 × 11250 =$281,250

Break-even point = Fixed costs ÷ contribution ratio

= $281,250/0.34 = $827,205.88

5 0
3 years ago
There are 8 marbles in a bag. Each marble is a different color. The colors are: red, orange, yellow, green, blue, purple, black,
saveliy_v [14]

Answer:

B. 1/56

Explanation:

There are 8 different marbles. In the first draw, you have a one out of 8 chance of getting the red. In the second draw, there are 7 marbles remaining, so a one out of 7 chance of drawing a white marble. To find the total probability of drawing the red and then white marble, we multiply the probabilities if each draw.

(1/8)*(1/7)=1/56

8 0
4 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
Olin [163]

The arcs in the corners of the triangle mean that all 3 angles are the same.

Because the 3 angles are all the same this means that all 3 sides are also the same.


To solve for X, we can set 2 of the equations to equal each other and solve for x:


6x-3 = 3x +6

Add 3 to each side:

6x = 3x +9

Subtract 3x from each side:

3x = 9

Divide both sides by 3:

x = 9/3

X = 3


And if you replace x with 3 in each of the equations, they all equal 15.

3 0
3 years ago
In September,there were 16 members in the music club. In October the number of members was 24.What was the percent increase from
FrozenT [24]
16/24 = 2/3


The answer is C, 33%, because it's equivalent to 2/3.
7 0
4 years ago
What is the value of x?<br> Enter your answer in the box.<br> X=
krek1111 [17]

Answer:

x=11 just a guess not so sure

7 0
3 years ago
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