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lyudmila [28]
3 years ago
10

Which statement must be true to prove | || m?

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0
Answer C is correct. If angle 1 + angle 2 = 180 degrees then L is parallel to M.
Co interior angles are only supplementary in parallel lines
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3/4 x 3 2/5 - 5/5(find the value of each of the following) ​
Triss [41]

The value of the given expression is \frac{-13}{20}.

Solution:

Given expression is \frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}.

Let us first convert mixed fraction into improper fraction.

3\frac{2}{5}=\frac{(3\times5)+2}{5}=\frac{17}{5}

Substitute this in the given expression.

\frac{3}{4} \times3\frac{2}{5}-\frac{5}{5}=\frac{3}{4} \times\frac{7}{15}-\frac{5}{5}

                  =\frac{21}{60}-\frac{5}{5}

To simplify the above expression, 21 and 60 are cancelled by 3.

                 =\frac{7}{20}-\frac{1}{1}

Do cross multiplication to make the denominator same.

                 =\frac{7}{20}-\frac{20}{20}

                 =\frac{7-20}{20}

                 =\frac{-13}{20}

The value of the given expression is \frac{-13}{20}.

7 0
3 years ago
The sum of two rational numbers of 63, and their difference is 12? What are the numbers?
VladimirAG [237]

Answer:

The two numbers are 37.5 and 25.5

Step-by-step explanation:

Comment

Let the two numbers be x and y

Equations

x + y = 63

x - y =  12

Solution

Add the two equations. The ys cancel out.

2x = 75               Divide by 2

2x/2 = 75/3         Do the division

x = 37.5

Now use one of the given equations to solve for y

x + y = 63

x = 37.5

37.5 + y = 63                     Subtract 37.5 from both sides

37.5-37.5+y= 63 - 37.5     Collect the like terms on both sides

y = 25.5

Check

x - y =? 12

37.5-25.5 =? 12

12 = 12      

3 0
3 years ago
What is the Square root of -3
zavuch27 [327]
The square root of -3 is 1.73205081
3 0
3 years ago
If the sales tax in your city is 11.4%, and an item costs $160 before tax, how much tax would you pay on that item? Round to the
Oksana_A [137]
First we calculate the tax on the item:
11.4%($160) = 11.4(160)/100 = 18.24
hence the tax for the item is $18.24
The total price for the item would be:
160 + 18.24 = 178.24
hence the total price for the item including tax is:
$<span>178.24</span>

7 0
3 years ago
Your grocery bill before taxes was $265.24. You have to pay 7.3% sales tax. How much is your total grocery bill?
tamaranim1 [39]

Answer:

$284.60

Step-by-step explanation:

7.3% of $265.24 = 19.36252,

So the tax is $19.36.

19.36 + 265.24 = 284.60

So the total grocery bill is $284.60.

6 0
3 years ago
Read 2 more answers
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