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zysi [14]
2 years ago
6

When lines are parallel...

Mathematics
1 answer:
Otrada [13]2 years ago
3 0

Answer:

1) Congruent

2) Supplementary

3) Congruent

4) Congruent

Step-by-step explanation:

1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .

2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.

3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.

4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.

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I dont know what to do... im kinda not smart
myrzilka [38]

7.

10% = 6

25% = 15

50% = 30

20% = 12

_____________________

8.

a = 35

b = 105

c = 140

____________________________

9.

15 is 30% of 50.

_____________________________

10.

The punch recipe contains 25% lemonade:

24/6 = x/100

x=1/4 x 100 = 25%

_____________________________

11.

520

multiply 650 by 80 amd then divide by 100

or simply multiply 650 by 0.8

to get 520 students.

_______________________________________

12.

Number of items checked = 300

Defective items = 3%

Number of defective items =

Number of defective items =

Number of defective items = 9

Number of items worked = Total items - Number of defective items

Number of items worked = 300 - 9 = 291

291 items of checked items worked.

8 0
3 years ago
Enter a range of values for x please help me
Brums [2.3K]

Answer:

-5 < x < 9

Step-by-step explanation:

By Hinge theorem,

"If two sides of a triangle are congruent to the two sides of another triangle, and the included angle of one triangle is larger than the included angle of the second, then the 3rd side of triangle one will be larger than the third side of the second"

23 > 21

Therefore, 42° > (3x + 15)°

42° - 15° > 3x

27 > 3x

9 > x

And (3x + 15) > 0

3x > -15

x > -5

Therefore, range for x will be,

-5 < x < 9

4 0
2 years ago
Using synthetic division, what is the quotient (2x3 − 3x − 10) ÷ (x − 2)?
melamori03 [73]

Answer:

(2x3 − 3x − 10) ÷ (x − 2) = ( x-2)

Step-by-step explanation:

4 0
2 years ago
I need help with problem
pychu [463]

Answer:

f(x)=4x(x-3)

Vertex=3/2, -9

Step-by-step explanation:

First, factorize it.

That is equal to 4x(x-3)

Therefore, x intercepts are 0 and 3, as  at least one of them need to be 0.

To find the vertex, first find the x of the vertex, which you can do by finding the average of the x intercepts, so it will be 3/2

Then, find the y, by making x in the original equation equal 3/2. This will give us -9 as the y.

The vertex will by 3/2, -9

4 0
2 years ago
(-12,14) and (6,-1)<br> write a linear equation
jarptica [38.1K]

Answer:

Step-by-step explanation:

this is were they should go

8 0
2 years ago
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