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Paraphin [41]
3 years ago
5

Which expressions best represents the area of the rectangle

Mathematics
1 answer:
nikitadnepr [17]3 years ago
6 0
Area of rectangle = length x width

(x + 12)(x - 5$
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Find x and y in the figure​
Grace [21]

Answer:

x=10, y=25

Step-by-step explanation:

First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as

4y + (2y+3x) = 180

6y+3x = 180

Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as

4y + 2y + (5x-20) = 180

6y + 5x -20  =180

Our two equations are thus

6y + 5x - 20 = 180

6y + 3x = 180

If we subtract 6y from both sides in each equation, we can say

5x - 20 = 180-6y

3x = 180-6y

Therefore, we can write

5x-20 = 180-5y = 3x

5x-20=3x

subtract 3x from both sides to make all x variables on the same side

2x-20 = 0

add 20 to both sides to isolate the x and its coefficient

2x = 20

divide both sides by 2 to isolate x

x = 10

Therefore,

x = 10

6y + 3x = 180

6y + 30 = 180

subtract 30 from both sides to isolate the y and its coefficient

6y = 150

y = 25

5 0
3 years ago
There are 120 Calories in a 34-cup serving of cereal. How many Calories are there in 6 cups of cereal? Enter your answer in the
Ilya [14]
Answer: 21.17 (22 rounded)

explanation: 120/34 = 3.529 calories per cup

3.529 x 6 cups = 21.17

hope this helps :)
7 0
3 years ago
I just need to know how to do this. pls help me
Vlada [557]
Vertically opposite angles are equal
With this information we can form an equation

2x+14=60
Subtract 14 from both sides
2x=46
Divide both sides by 2
X=23

x = 23 degrees
5 0
3 years ago
Read 2 more answers
What is the TOTAL surface area?
BartSMP [9]

Answer:

SA=571.77

Step-by-step explanation:

SA==2πrh+2πr2=2·π·7·6+2·π·72≈571.76986

pls mark brainliest

8 0
3 years ago
Mr. John Doe was fighting out his federal income tax. His income was $26,800, but he was able to subtract $5,500in deductions. H
Ber [7]

Answer:

             

Step-by-step explanation:

                                           

7 0
2 years ago
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