Given lines p and q are parallel, m<2 - (14x - 12), m<6 - (5y + 23), and m<8 - (8x + 27), solve for the values of x and y then solve for the measure of each angle
Answers
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
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If a line is parallel to y=-6x +3 , what is the slop of that line ?
A.-6
B.3
C.8
D.1/6
Answers
Answer:
Step-by-step explanation:
A
When a number x is multiplied by 6, the result is 38.
What is the value of x?
Drag and drop the correct number into the box so that the equation is true.
3/8
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Step-by-step explanation:
i took the quiz
Answer:
6⅓ The answer is not in the options..
Step-by-step explanation:
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On Monday, the temperature was 43°F. On Tuesday, the temperature increased 6°F. On Wednesday, the temperature decreased 13°F. Which integer represents the overall change in temperature from Monday to Wednesday?
Answers
Answer:c Thursday
Step-by-step explanation:
If on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F. On Wednesday, the temperature decreased by 13°F.
The overall change in temperature from Monday to Wednesday is found as,
= 43°F + 6°F - 13°F
= 24 °F
Thus, if on Monday, the temperature was 43°F. On Tuesday, the temperature increased by 6°F the overall change in temperature from Monday to Wednesday will be 24°F.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
#SPJ2
Unit 3 Test ( Similarity ) Find GK
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Answer:
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Step-by-step explanation:
A car travels 120 miles in 3 hours at a constant speed. How long will it take for the car to travel 200 miles?
Answers
Answer:
5
Step-by-step explanation:
To calculate the travel speed per hour, divide 120 by 3. 120/3 = 40 mph. Now to calculate the time it will take to travel 200 miles, divided 200 by 40 mph. 200/40 = 5
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:256+32x
Step-by-step explanation:
If m<1 = (7x - 19), and m<2 = (x + 5), find m<2
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
The answer is $1,875
Step-by-step explanation:
1. I just divided $60,000 by 2 and $1,500 by 2 and got $30,000:$750
2. I realized I needed to do more so I divided again and got $15,000:$375. Next I added it to the question $60,000 + $15,000 = $75,000
3. So then $1,500 + $375 = $1,875
4. $75,000:$1,875
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B. From your equation, determine the number of hours she needs to babysit.
Answers
Answer:
Step-by-step explanation:
100=10+5x x is the hours she needs to babysit
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A. 16 cupcakes
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Answer:
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Answer:
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Step-by-step explanation:
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Hope this helped!!
Answer:
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Step-by-step explanation:
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Answers
Answer:
y=-6/5x-3
Step-by-step explanation:
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Answers
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Answers
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Answers
If im right give me brainliest
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Answer:
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(the image is fuzzy so you can't really see the lines)
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Answers
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
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Step-by-step explanation:
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Step-by-step explanation:
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Explanation: since it isn’t >= it needs a dotted line and she shaded downwards but y> which means it should go upwards
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Answers
Answer:
D. 76
Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
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