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Hitman42 [59]
3 years ago
10

Find the value of each missing variable. y=

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Step-by-step explanation:

29x - 3 + 15x + 7 = 180° because these two angles are supplementary

if we add like terms

44x + 4 = 180

44x = 176 divide both sides by 44

x = 4

29x - 3 = 13y - 17 because alternate exterior angles has same measurement

since we found the value of x let's rewrite the equation

4 × 29 - 3 = 13y - 17

113 = 13y - 17

130 = 13y divide both sides by 13

10 = y

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The diameter of circles A,C and E are 32 cm, 24cm and 14 cm respectively
Karolina [17]

Answer:

AG = 4

AH = 21

EC = 12

CH = 5

HE = 7

Step-by-step explanation:

<u><em>The complete question is</em></u>

The diameters of circles A, C and E are 32 cm, 24 cm and 14 cm respectively.

Which of the following statements are true? Select all that apply.

•AG = 4

•GC = 10

•AH = 21

•EC = 12

•EH = 5

•CH = 5

•HE = 7

The picture of the question in the attached figure

<u><em>Verify each statement</em></u>

1) AG = 4

we know that

AG=AC-GC

AC=32\2=16\ cm ----> radius of circle A

GC=24/2=12\ cm ----> radius of circle C

substitute

AG=16-12=4\ cm

therefore

The statement is true

2) GC = 10

we know that

GC=24/2=12\ cm ----> radius of circle C

therefore

The statement is false

3) AH = 21

we know that

AH=AC+CH

we have

AC=16\ cm ----> radius of circle A

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

AH=16+5=21\ cm

therefore

The statement is true

4) EC = 12

we know that

EC=24/2=12\ cm ----> radius of circle C

therefore

The statement is true

5) EH = 5

we know that

EH=14/2=7\ cm ----> radius of circle E

therefore

The statement is false

6) CH = 5

we know that

CH=CE-HE

CE=12\ cm ----> radius of circle C

HE=14/2=7\ cm ----> radius of circle E

so

CH=12-7=5\ cm

therefore

The statement is true

7) HE = 7

we know that

HE=14/2=7\ cm ----> radius of circle E

therefore

The statement is true

3 0
3 years ago
Suppose △LMN≅△PQR .
Tanya [424]
First four answers are correct as congruent parts of congruent triangles are congruent but L Is not the opposite to M so they wouldn’t be congruent nor does NL or PQ have the same connection
6 0
3 years ago
You deposit $500 into a bank account that pays 2% simple interest. You leave the money in the account for 3 years and no additio
Natasha_Volkova [10]

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(500)(0.02)(3)\implies I=30~\hfill \stackrel{\textit{total amount in the account}}{500+30\implies 530}

4 0
3 years ago
I don’t understand this
Inessa05 [86]

Answer:

54

Step-by-step explanation:

18 inches per year * 3 years = 54 inches

5 0
3 years ago
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you make homemade lip balm about 11% of the lip balm is made from beeswax you make 4 2/5 teaspoons of of the lip balm about how
o-na [289]
≈ 1/2 teaspoon
4 2/5 * .11 = .484 teaspoon
7 0
3 years ago
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