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Lera25 [3.4K]
3 years ago
12

NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is th

e measure of angle D?

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

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Makovka662 [10]
I only suppose this is the right answer

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The Jones family went to a play and paid $74 for 2 adults and 2 children. The Tucker family went to the same play and paid $86 f
Sveta_85 [38]
The answer is $25.

x - the price of an adult ticket
y - the price of a child ticket

The Jones <span>paid $74 for 2 adults and 2 children: 2x + 2y = 74
The Tuckers paid </span><span>$86 for 2 adults and 3 children: 2x + 3y = 86

This is the system of two equations:
</span>2x + 2y = 74
2x + 3y = 86
____
Multiply the first one by (-1)
2x * (-1) + 2y * (-1) = 74 * (-1)
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-2x - 2y = -74
2x + 3y = 86
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Sum the equations:
2x - 2x + 3y - 2y = 86 - 74
y = 12
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Substitute y in the first equation to find x:
2x + 2 * 12 = 74
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2x = 74 - 24
2x = 50
x = 50/2
x = 25

So, the price of the adult ticket is $25 and the price of the child ticket is $12.
5 0
3 years ago
6 − x = −12<br><br> A) -18<br><br> B) -6<br><br> C) 0<br><br> D) 18
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Answer: D) 18

Step-by-step explanation:

6 - x = -12

Subtract 6 from both sides.

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x = 18

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Step-by-step explanation:

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