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Verdich [7]
3 years ago
14

Proof:

Mathematics
2 answers:
mixer [17]3 years ago
8 0

Answer:

From the figure it i obvious that angle 2 and angle 3 are equal so option C is correct.

Lapatulllka [165]3 years ago
7 0

Answer:

Option B is correct

\angle 2 = \angle 3

Step-by-step explanation:

Given that:

\angle 1 and \angle 2 are supplementary.

prove that: a || b

It is given that:

\angle 1 and \angle 2 are supplementary.

By definition of supplementary

⇒\angle 1+ \angle 2 =180^{\circ}            .....[1]

From the figure, you can see that:

\angle 1 and \angle 3 are also supplementary.

⇒\angle 1+ \angle 3 =180^{\circ}            .....[2]

By [1] and [2] we have;

⇒\angle 1+ \angle 2=\angle 1+ \angle 3

Simplify:

\angle 2 = \angle 3

Since ∠2 and ∠3 are corresponding angles.

Corresponding angles states when the two lines are parallel, then Corresponding Angles are equal and vice versa.

by definition we have;

a || b                      proved!

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const2013 [10]
25----------5 and 5--------------5 and 1 ------------5 and 1
4 0
3 years ago
. Here is an equation 2x + 9 = -15. Write three different equations that have the same solution as 2x + 9 = -15. Show or explain
Anettt [7]

Answer:

1. x-3=-15
2.2x=-24
3.2x-3=-27

Step-by-step explanation:

Given the following question:

2x+9=-15

To find three equations that have the same solution as the given equation we have to first solve the equation.

2x+9=-15
9-9=0
-15-9=-24
2x=-24
2x\div2=x
-24\div2=-12
x=-12

<u>Equation one:</u>
x-3=-15
-3+3=0
-15+3=-12
x=-12

<u>Equation two:
</u>2x=-24
2x\div2=x
-24\div2=-12
x=-12

<u>Equation three:</u>
2x-3=-27
-3+3=0
-27+3=-24
-24\div2=-12
x=-12

Hope this helps.

4 0
2 years ago
“Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?”
ahrayia [7]
Hello,

Let's calculate ∠O:
 ∠O=180-2*56=68+

x=90-68=22°

3 0
3 years ago
The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 18
kogti [31]

Answer: One side could be 18 and the other side will be 33.

Step-by-step explanation:

  • Side #1 = 18
  • Side #2 = 2x - 3
  • Side #3 = x

<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>

<u />2x-3+x>18\\3x-3>18\\3x>18+3\\3x>21\\x>7

<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>

<u />18+x>2x-3\\18+3>2x-x\\x<u />

<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>

<u />18+2x-3>x\\15>x-2x\\15>-x\\x>-15<em />

<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>

3 0
3 years ago
Plz help me with this problem!!!! Thanks!
Cloud [144]
It’s 10 that’s the answer
8 0
3 years ago
Read 2 more answers
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