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makvit [3.9K]
2 years ago
10

Can somebody help me asap.

Mathematics
1 answer:
ehidna [41]2 years ago
7 0

Answer:

Step-by-step explanation:

1) m∠1 +m∠2 + m∠3 = m∠LAM (Angle addition postulate)

2) m∠1 + m∠2 + m∠3 = 180 (def. of straight angle)

3) y║z (Given)

4) ∠1 ≅ ∠5 (alternate interior angles theorem)

5) ∠3 ≅ ∠6 (alternate interior angles theorem)

6) Since m∠1 + m∠2 + m∠3 = 180

m∠5 + m∠2 + m∠6 = 180

Hence proved.

You might be interested in
-5+(-3).I know the answer is -8 but how because a negative plus a negative is a positive.
ira [324]

Answer:

“two negatives = positive” rule works for multiplication and division.

Step-by-step explanation:

-5 + (-3) example

imagine a number line with 0 in the center. From (0) You move left 5 places to (-5) on the number line. Now you move another 3 more to the left (-3) and land on (-8).

You are combining the negatives. I hope this helps.

8 0
2 years ago
Compare [3] and [ – 8|
mariarad [96]

Answer:

3 > -8

Step-by-step explanation:

-8 -7 -6 -5 -4 -3 -2 -1 <u>0</u> 1 2 3 ....

-8< 3

7 0
3 years ago
The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
Digiron [165]

Answer:

L/2

Step-by-step explanation:

If the width is half of its length, that means it is 1/2*L, as L is the length. This can be simplified into L/2, which is our answer.

5 0
3 years ago
Read 2 more answers
I need to understand question 14 and 15 and the last one cut off for tens in one
sp2606 [1]

                                                 Question # 14

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am less than 20.

  • So the number 'x' must be less than 20 i.e. x < 20

I am more than 13.

  • So the number 'x' must be greater than 13 i.e. x > 13

I am less than 17.

  • So the number 'x' must be less than 17 i.e. x < 17

Finally:

I am 4 more than 12

i.e. 12+4 = 16

Thus, the number is x = 16

                                               Question # 15

Part a)

Given the numbers

10     11     12     13     14     15     16     17     18     19     20

Let 'x' be the number

The condition breakdown:

I am more than 10.

  • x > 10

I am less than 20.

  • x < 20

I am more than 12.

  • x > 12

I am less than 15.

  • x < 15

As the numbers left after all the conditions are fulfilled are 13 and 14.

  • But the last condition is, of the numbers that left, the number is greater than all the remaining numbers.

So, from the remaining number 13 and 14;

14 > 13

Thus, the number x = 14

Part b)

Drawing the number 14 in the place value:

          Chart

Tens                Ones

1                         4

6 0
3 years ago
PLEASE ANSWER THIS QUESTION AND EXPLAIN IF YOU CAN
jekas [21]
Factor out -1
-1(x^2+x-6)

Factor the inner trinomial
-1(x+3)(x-2)

Final answer: B
6 0
3 years ago
Read 2 more answers
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