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Leya [2.2K]
3 years ago
5

Which triangles are similar?

Mathematics
1 answer:
likoan [24]3 years ago
8 0

Answer:

option B) ΔABE ∼ ΔADC

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

we know that

If two triangles are similar, then its corresponding sides are proportional and its corresponding angles are congruent

In this problem

Triangles ABE and ADC are similar by AA Similarity Theorem

because

m∠ ABE≅m∠ADC

m∠ BAE≅m∠DAC

The corresponding sides are

AB and AD

BE and DC

AE and AC

so

\frac{AB}{AD}=\frac{BE}{DC}=\frac{AE}{AC}

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Jim and his dad are bricklayers. Jim can lay bricks for a fireplace and chimney in 5 days. With his father's help he can build i
kati45 [8]

we are given

Jim can lay bricks for a fireplace and chimney in 5 days

Jim's 1 day work is

=\frac{1}{5}

we are given

With his father's help he can build it in 2 days

so, both can do same work in 2 days

so, both's 1 day work is

=\frac{1}{2}

Let's assume

his father to build it alone in x days

his father 1 day work is

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so, both's 1 days work is

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so, we can set it to 1/2

we get

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now, we can solve for x

\frac{1}{2}=\frac{5*1}{5*x}+\frac{1*x}{5*x}

\frac{1}{2}=\frac{5+x}{5x}

now, we can cross multiply

5x=2(5+x)

5x=10+2x

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now, we can solve for x

x=\frac{10}{3}

so,

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8 0
3 years ago
Find which of these parallelograms is possible to work out the area!<br><br> Please help me TvT
guajiro [1.7K]

Answer:

  • B, D, E

Step-by-step explanation:

Area can be calculated if the length of the base and height given.

<u>According to measurements:</u>

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  • C. Impossible, the the length of height is not given
  • D. Possible. A = 4*3 = 12 cm²
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8 0
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The line y = 2x - 3 will have no solution with the given parabora. All other lines gives a real solution except the line y = 2x - 3
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Identify the extraneous and explain why it is extraneous
alisha [4.7K]

Answer: In mathematics, an extraneous solution (or spurious solution) is a solution, such as that to an equation, that emerges from the process of solving the problem but is not a valid solution to the problem.

Step-by-step explanation:

8 0
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