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il63 [147K]
3 years ago
7

PLEASE HELP IM STUCK!! (See attachment)

Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

ΔMCI ≅ ΔAIC by SAS congruence test

Step-by-step explanation:

Given:

In ΔMCI and ΔAIC

        Statement                                          Reason

1) ∠MCI ≅ ∠AIC                                          1) Given

2) segment MC ≅ segment AI                  2) Given

Segment CI is common segment which is both the triangles.

So we can say that.

3) Segment CI ≅ Segment CI                  3) Reflexive Property

By SAS congruence test which states that;

"If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent."

4) ΔMCI ≅ ΔAIC                                          4) By SAS congruence test

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5.<br> If g(x) = 3x + 4, what is the value of g-1(g(-2))?
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Answer:

- 2

Step-by-step explanation:

The composition of inverse functions gives x

g(x) and g^{-1} (x) are inverse functions, then

g^{-1} (g(x)) = x , thus

g^{-1} (g(- 2)) = - 2

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3 years ago
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3 years ago
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Which of the following are considered measures of variability?
bixtya [17]

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Step-by-step explanation:

6 0
3 years ago
#17. The height, H metres, of a certain species of Fir
olya-2409 [2.1K]

Answer:

The approximated height of the tree is of 112 meters.

Step-by-step explanation:

The height of a tree with a base diameter of d meters is approximated by the following formula:

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7 0
2 years ago
Devon bought running shocs at a price that was 1/4 off the original price of $88. He paid a sales tax of 7% on
larisa86 [58]

The correct answer is C. $ 9.38

Explanation:

The first step to solve this mathematical problem is to know the price of the shoes. About this, we know the price is 1/4 of $88 plus taxes. You can find how much is 1/4 of $88 by following this process:

1. Write the amounts given

\frac{1}{4}  of 88

2. Divide the number by the denominator (bottom number) and then multiply by the numerator

88 ÷ 4 = 22

22 x 1 = 22

This means the discount was  $22 and $88- $22 = $66, which is the price with the discount. Now, it is necessary to add the sales tax, which can be done by finding the 7% of $66 and adding this number to $66 (the price of the shoes including the 1/4 discount)

1.  Write the values

66 = 100 (66 represents the total or 100%)

x   =  7 (7% is the value you want to know and the x represents the value is not known)

2. Cross multiply

x 100 = 462

3. Find x

x = 462 ÷ 100

x = 4. 62 ( value of taxes)

Now, add the taxes to the price $66 + $ 4.62 = $70.62 (price with taxes). Finally, we know Devon paid using four $20 bills. This means he gave the clerk $80 ($20 x 4 = $80). Finally, to know how much is the change subtract the price of the shoes from the money Devon gave the clerk $80 - $70.62 = $9.38

4 0
3 years ago
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