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lesantik [10]
3 years ago
10

Angle 1 and 2 are same side interior angles formed by two parallel lines and a transversal. If measure of angle 1 is 115, what i

s measure of angle 2
Mathematics
1 answer:
dalvyx [7]3 years ago
4 0
Same side interior angles = 180.

180-115 =65

Angle 2 = 65
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A national interest rate on houses for 25 years is 4.3%. A banker in a large northwestern city believes that the local interest
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The national interest rate on houses for 25 years is 4.3%. The banker wishes to test that the local interest rates are lower than the national rate. So he should use the initial data of 4.3% interest as his base data. Then he should investigate the rates of houses in the local vicinities and compare it to his base data. 
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3 years ago
The second digit of a four digit number is "0". If you write the digits of this number backwards, you will get a number 9 times
wolverine [178]

Answer:

1089

Step-by-step explanation:

The original number is A0CD, We have that DC0A = 9 x A0CD.

If A =1, then D = 9 and we have:

9C01 = 9 x 10C9

In order for this expression to be true, the following must also be true:

(C x 9) + 8 must be divisible by 10, which means that C x 9 must end in a 2.

The only multiple of 9 (from 9 to 81) that ends in a 2 is 72.

72 = 9 x 8.

Therefore, C must be 8 and the original number is 1089. Multiply it by 9 to check the answer:

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6 0
3 years ago
Graph the system of linear inequalities, please explain the process in solving this problem so I know how to do ones similar to
Ierofanga [76]

Graph the system of linear inequalities

x + y > 5

- x - y < -5

First we graph x + y >5

Step 1: replace > symbol by = sign

x + y =5

step 2 : Solve the equation for y

x + y =5 (subtract x from both sides)

y = 5 - x

step 3: Now we make a table . plug in some number for x  and find out y

x -----> y

-1 -----> 6   ( y=5-x => y=5-(-1)= 6)

0 -----> 5   ( y=5-x => y=5-(0)= 5)

1 -----> 4   ( y=5-x => y=5-(1)= 4)

Step 4:  we graph the table.

step 5: Shade the region that satisfies our inequality

x + y > 5. Greater than symbol implies that we shade the graph to the right

Graphing second inequality - x - y < -5

All terms have negative sign . so divide all the terms by -1. When we divide an inequality by -1 its sign changes

- x - y < -5 becomes x + y > 5

Follow the same steps to graph this inequality

After dividing the second equation  by -1 , we got the same as the first equation.

So we will get the same graph

Both graphs overlaps

The graph of first and second inequality overlaps

The graph is attached below

4 0
3 years ago
What is the answer to 168÷54
mylen [45]
3 1/9 or 3.11 because you get a remainder of 1.

6 0
3 years ago
Read 2 more answers
How would you estimate 412÷97?
marissa [1.9K]
Your answer would be 4.23 as the answer will be a long one, estimated.
6 0
3 years ago
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