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Anika [276]
3 years ago
8

If p is parallel to q, which pair of angles must be congruent?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
5 0
Vertical angles are congruent whether the lines are parallel or not.
Corresponding angles are congruent.
Alternate interior and alternate exterior angles are congruent.
1 & 4, 2 & 3, 3 & 6, 4 & 5, 1 & 8, 2 & 7, 5 & 8, 6 & 7, 3 & 7, 1 & 5, 2 & 6, 4 & 8
I think I got all of them!
yuradex [85]3 years ago
4 0

When two lines are parallel and are intersected by a third line,

Then the pairs of corresponding angles are congruent.

The pairs of Alternate interior angles are congruent.

More names can be given to these angles.

But when we consider all corresponding and alternate angles, all angles are covered.

In the given figure

<2 = <6, <4 = <8, <1 = <5 and <3= <7 are all corresponding angles.   ..(1)

Also < 4 = <5 & <3 = <6 are alternate interior angles.    ...(2)

If we compare Statement (1) & statement (2)

We get

<1 = <5 = <8 = <4

<3 = <7 = <6 = <2

So all red dotted angles are equal

Also all black dotted angles are equal.


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A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z feet. it costs $4.20 per square
ozzi

To solve this problem you must apply the proccedure shown below:

1. You have that:

-The length is x feet.

- The width is y feet.

- The height is z feet.

2. The box has one base. The cost of the base is:

c1=4.20xy

3. It has four sides. The cost of the sides are:

c2=2(0.75yz)+2(0.75xy)\\ c2=1.5yz+1.5xy

The answer is: The total cost is c=c1+c2\\ c=4.20xy+1.5yz+1.5xy

7 0
3 years ago
$10,000 for 20 years at 5% compounded annually
saveliy_v [14]

Answer:

$26532.98

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<u>Given:</u>

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  • Profit rate = 5% PA compounded
  • Time = 20 years
  • Compounds = 20*1 = 20

<u>Sum is:</u>

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3 years ago
Solve the following equation algebraically: x^2=20
Zielflug [23.3K]

Answer:

x = ± 2\sqrt{5}

Step-by-step explanation:

Given

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x = ± \sqrt{20} = ± \sqrt{4(5)} = ± 2\sqrt{5}

6 0
3 years ago
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What is an equation of the line that passes through the point (3, -8) and has slope -2?
BabaBlast [244]

Answer:

Step-by-step explanation:

slope of -2 means the slope is -2/1

from (3, - 8) you can find the y intercept by going backwords until x = 0

(2,-6)

(1,-4)

(0,-2)

so the y intercept is -2

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What is the area of triangle abc below? If necessary, round your answer to two decimal places..... PLEASE PLEASE HELP ME
antiseptic1488 [7]
For a triangle:
A=\frac{bh}{2}
A=\frac{b \times 7.9}{2}
b=AD+DC
Use Pythagorean theorem twice:
AD^{2}+9.4^{2}=7.9^{2}
AD=5.09

DC^{2}+23.2^{2}=7.9^{2}
DC=21.81

Thus:
b=26.9

And:
Area=\frac{26.9 \times 7.9}{2}=106.26

6 0
3 years ago
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