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4 years ago

I need help with three questions please :-)

Mathematics

1 answer:

Otrada [13]4 years ago

7 0

Answer:

No, ... not similar ... segments are not proportional
∠A ≅ ∠Y
AB/A"B" = BC/B"C"

Step-by-step explanation:

1. The side length ratios are ...

AB : BC : CD = 2 : √5 : 4

and

EF : FG : GH = 4 : √10 : 6

Corresponding segments are not proportional, so the figures cannot be similar.

2. The problem statement tells you the corresponding vertices are (B, X), (A, Y), (C, Z). You know this because the names of the similar figures are given as ΔBAC and ΔXYZ and corresponding vertices are listed in the same order. The angles at corresponding vertices of similar figures will be congruent. The only pair listed among the answer choices is ...

∠A ≅ ∠Y

3. In similar figures, corresponding segments have the same ratio (the dilation factor). This means, for example, that

A"B" = 3AB and B"C" = 3BC

so an appropriate proportionality statement is ...

AB/A"B" = BC/B"C"

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3 years ago

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Answer:

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4 years ago

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drek231 [11]

Answer:

Average income of Eric for the remaining 8 months = $\$1946$

Step-by-step explanation:

Given: Average income of Eric for the first 4 months of the year is equal to $1,450.25

To find: average income for the remaining 8 months so that his average income for the year is $1,780.75

Solution:

Average income = Total income for the year/Total number of months

Average income of Eric for the first 4 months = $1,450.25

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Total income for the year = 5801 + x

Therefore,

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Total income of Eric for the remaining 8 months = $15568

Average income of Eric for the remaining 8 months = $\frac{15568}{8}=\$1946$

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Hello!

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