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Alik [6]
2 years ago
5

Can someone help me solve for y and x and find out the angles of all the angles visable

Mathematics
1 answer:
amm18122 years ago
7 0

Answer:

x = 10 , y = 15

Step-by-step explanation:

8x - 10 and 7x are alternate angles and are congruent , then

8x - 10 = 7x ( subtract 7x from both sides )

x - 10 = 0 ( add 10 to both sides )

x = 10

Then

8x - 10 = 8(10) - 10 = 80 - 10 = 70

6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is

6y + 20 + 70 = 180

6y + 90 = 180 ( subtract 90 from both sides )

6y = 90 ( divide both sides by 6 )

y = 15

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Question 28 (1 point)
aniked [119]

Answer:

+ 16

Step-by-step explanation:

x² - 8x = - 10

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + (- 4) = - 10 + (- 4)²

x² - 8x + 16 = - 10 + 16

thus 16 is added to both sides to complete the square

4 0
2 years ago
a farmer uses 1/3 of his land to plant cassava 3/5 of the remaining land to plant Maize and the rest vegetables if vegetables co
Rzqust [24]

Answer:

37.5 acres.

Step-by-step explanation:

Fraction of his land  where vegetables are grown

= 1 - 1/3 - 2/3 *3/5

(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.

= 1 - 1/3 - 6/15              LCD of 3 and 15= 15  so we write:

= 1 - 5/15 - 6/15

= 1 - (5+6)/16

=  1 - 11/15

= 4/15.

4 /15 is equivalent to  10 acres

so  total  area (= 1)  =   10 / 4/15     Invert the 4/15 and multiply:

= 10 * 15/4

=  150/4

= 37.5 acres.

3 0
3 years ago
5. The table below represents fees for a parkirls lot. Graph the
Vladimir [108]

Answer:

15$

Step-by-step explanation:

5 0
3 years ago
The sum of 5 consecutive odd numbers is 145. What is the third number in this sequence
vredina [299]

Answer: The 3rd number in the sequence is 29.

Step-by-step explanation: What we have is a sequence of “ODD” numbers and they are consecutive, which means they come one after another with regular intervals. We don’t have any of the numbers but we can start by saying ‘let x represent the first number in the sequence’

With this in mind, we can now assume all other four numbers in the sequence. Therefore if the 1st number is x, the 2nd number would be x + 2, and the the 3rd number would be x + 4, 4th number would be x + 6 while the 5th number would be x + 8.

The reason is that, every odd number is an addition of two to the previous odd number. For instance, if you start with 3, the next odd number would be 3+2 (5), and so on.

Therefore we can now write our consecutive odd numbers as follows;

x + (x + 2) + (x + 4) + (x + 6) + (x + 8)

Remember that all the numbers add up to 145. Therefore,

x + x + 2 + x +4 + x + 6 + x + 8 = 145

5x + 20 = 145

Subtract 20 from both sides of the equation

5x = 125

Divide both sides of the equation by 5

x = 25.

The first odd number is 25, which means the 3rd odd number is 25 + 4.

Therefore the 3rd odd number is 29.

5 0
3 years ago
A plumber had a pipe that was 2 yards long he cut 18 inches off the end of the pipe
balandron [24]
To convert yards to feet, you would multiply it by 3. So, since there the pipe is 2 yards long, you could multiply 2*3 to get 6 feet. Then you can convert feet to inches by multiplying it by 12. 6*12 is equal to 72, so 2 yards is equal to 72 inches. Lastly, you can subtract 18 from 72, to get 54, and 54 inches would be your final answer.
7 0
3 years ago
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