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Aleks04 [339]
4 years ago
15

According to the given information, segment UV is parallel to segment WZ, while angles SQU and VQT are vertical angles. Angle VQ

T is congruent to angle SQU by the Vertical Angles Theorem. Because angles SQU and WRS are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, angle VQT is congruent to angle WRS by the ________ Property.
Mathematics
1 answer:
erma4kov [3.2K]4 years ago
4 0

Answer:

Transitive

Step-by-step explanation:

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During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the
mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

T = 0.005x^2 + 0.45x + 125

Suppose T = 141°F,

\implies 141 = 0.005x^2 + 0.45x + 125

\implies 0.005x^2 + 0.45x + 125 - 141 =0

\implies 0.005x^2 + 0.45x - 16=0

Since, a quadratic equation ax^2 + bx + c =0 has,

Real roots,

If Discriminant, D = b^2 - 4ac \geq 0

Imaginary roots,

If D < 0,

Since, 0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0
3 years ago
Roy driving 582 miles to family reunions she will drive 300 miles by herself the first day the second day Roy and her cousin wil
monitta
In the first day she drive by her self 300

The miles remains to the second day

582-300=282

In the second day it will share the driving with her cousin equally

so she will drive 282/2=141 miles and her cousin also 141 miles
7 0
3 years ago
700 students attend Ridgewood Junior High School. 25% of students bring their
Karolina [17]
25% of 700 is 175.
So the answer would be 175.
4 0
3 years ago
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mr.rogers is buying candy for his class. he'll distribute the candy equally among his 25 scholars, and he wants each scholar to
stellarik [79]

25 scholars × 3 candies = 75 candies

5 candies for himself = 80

Answer: 80 candies

3 0
3 years ago
Help! Pls! I’ll mark you as top
inysia [295]
10 1/2x +2

- because you would add all the side lengths, so 2x+2x+ 3 1/4x+ 13 1/4x 1. You can combine like terms it to 10 1/2x+ 2.
7 0
3 years ago
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