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Degger [83]
3 years ago
9

Complete the proof.

Mathematics
1 answer:
Harman [31]3 years ago
4 0
2. Segment addition postulate
3. Substitution property of equality (AC=111; AB=7x+1; and BC=4x)
7. Symmetric Property of Equality
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What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form
9966 [12]

Answer:

y= 5x+13

Step-by-step explanation:

<u>Slope- intercept form</u>

y= mx +b, where m is the gradient and b is the y-intercept.

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

b= 13

Thus, the equation of the line is y= 5x +13.

8 0
3 years ago
How to find the whole of a number
loris [4]
Write down the portion number amount as a numerator over the whole number amount. Calculate the equation. The result is the decimal equivalent of the percentage. Multiply the decimal equivalent of the percentage by 100; or move the number's decimal point over two places to the right
4 0
3 years ago
Find the greatest common factor of 18 and 35
Flura [38]

Hi,

Let's look at the factor list:

The factors of 18 are 1, 2, 3, 6, 9, and 18.

The factors of 35 are 1, 5, 7, and 35.

The only common factor is 1, so the greatest common factor is 1.

Have a great day!

4 0
4 years ago
There is 135 of masking tape on a roll. Henry has 6 rolls. How many feet of masking tape does he have in all?
g100num [7]
810 total feet because 135 times 6 is 810
3 0
3 years ago
Kevin can mow the lawn in 1.5 hours. Together, Kevin and Eric can mow the lawn in 30 minutes. How long will it take Eric to mow
xeze [42]

Answer:

45

Step-by-step explanation:

These work problems are always done in terms of fractions ie if both (Kevin & Eric) took 30mins to mow and Kevin took 1.5hrs (90mins) alone then we can make an equation like below

1/time took for both = 1/time took for Kevin + 1/time took for Eric

1/30 = 1/90+1/x    ==> calling time took for Kevin x

solving the above 1/x = 1/30-1/90

1/x=2/90

x=45

6 0
3 years ago
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