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Ainat [17]
3 years ago
10

Which equation shows the correct measure of angle ABD?

Mathematics
1 answer:
alexgriva [62]3 years ago
3 0

Answer:Given : Triangle ABC is transformed to triangle A′B′C′

To Find : Which equation shows the correct relationship between the measures of the angles of the two triangles

a  The measure of ∠ABC = The measure of ∠A'B'C'

b  The measure of ∠ABC = The measure of ∠B'C'A '

c  The measure of ∠BCA = The measure of ∠A 'B 'C '

d  The measure of ∠BCA = The measure of ∠C 'A 'B '

Step-by-step explanation:

Triangle ABC is transformed to triangle A′B′C′,

ΔABC  ≅ ΔA'B'C'

Hence

∠ABC = ∠A'B'C'

∠BCA = ∠B'C'A '

The measure of angle ABC = The measure of angle A prime B prime C prime

The measure of ∠ABC = The measure of ∠A'B'C'

option a is correct

Step-by-step explanation:

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3/(x+7)+4/(x-8)
the common denominator is:
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thus adding the fractions we put them under the same denominator as follows:
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5 0
3 years ago
Dan, Gordon and Malachy share some sweets in the ratio 4:3:5. Dan gets 48 sweets. How many sweets are there altogether?
Mrac [35]

Answer:

144 sweets

Step-by-step explanation:

Let

x----> number of sweets that Dan has

y----> number of sweets that Gordon has

z----> number of sweets that Malachy has

we know that

x=48

x/y=4/3----> y/x=3/4 ----> y=(3/4)x

Substitute the value of x

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Substitute the value of x

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therefore

altogether there are  x+y+z=48+36+60=144 sweets

3 0
4 years ago
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