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hram777 [196]
2 years ago
13

Help!!In the given figure, ∆ABC is congruent to ∆XYZ, find the value of "a".​

Mathematics
1 answer:
crimeas [40]2 years ago
7 0

Answer:

Step-by-step explanation:

Corresponding parts of congruent triangles are congruent.

So, XY = AB

3a - 3.9 = 1.7a - 1.3

3a          = 1.7a - 1.3 + 3.9

3a          = 1.7a + 2.6

3a -1.7a = 2.6

     1.3a = 2.6

         a = 2.6/1.3

a = 2

ΔABC ≅ ΔXYZ

First two letter

AB = XY

Second and third letters

BC = YZ

Third and first letter

CA = ZX

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Step-by-step explanation:

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M∠1=119∘ and m∠2=61∘.<br> What is m∠3?
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Answer:

m∠3 = 119°

Step-by-step explanation:

All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.

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3 years ago
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A movie theater has a seating capacity of 253. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.
Zepler [3.9K]

Answer:

children attended= 114

adults attended= 57

students attended= 82

Step-by-step explanation:

children attended= c

adults attended=  a

students attended=  s

c+s+a = 253

5c + 7s + 12a = 1828

c=2a

2a + s + a =253

5*2a + 7s + 12a = 1828

3a + s = 253

22a + 7s = 1828

s = 253 - 3a

22a + 7(253 - 3a) = 1828

22a - 21a + 7*253 = 1828

a = 1828 - 7*253

a = 57

s = 253 - 3a = 253 - 3*57 = 82

s = 82

c=2a=2*57= 114

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3 years ago
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What is the slope of the following graph? (write your answer as a fraction unless divided by 1. Do not use spaces in your answer
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The slope of the graph is 4/5

<h3>How to determine the slope</h3>

Using the formula

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x1 = 0

Slope = \frac{y2 - y1}{x2 - x1}

Substitute the values into the formula

<em>Slope = </em>\frac{-4 - 0}{- 5 - 0}

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Therefore, the slope of the graph is 4/5

Learn more about slope here:

brainly.com/question/3493733

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