<h3>
3 Answers: Choice A, Choice B, Choice E</h3>
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Explanation:
Let's go through each answer choice one by one to see if it's true or false.
- A) This is true. Parallel lines have equal slopes, but different y intercepts.
- B) This is true because of the corresponding angles theorem.
- C) This is false. The statement applies to perpendicular lines, rather than parallel ones.
- D) This is false in general. The only time it's true is when the consecutive interior angles are 90 degrees each. Otherwise, the statement is false.
- E) This is true. Let's say we drew any diagonal line we wanted. Now imagine picking a point on that line and shifting it up 5 units. Do this for another point and draw a line through the two separated points. This forms a parallel line. The upper line has been shifted up 5 units compared to the lower line.
- F) This is false in general. It's only true when both alternate interior angles are 90 degrees each; otherwise, it is false.
Answer:
x=250
Step-by-step explanation:
250 divided by 5= 50
then 50- 15= 35
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
<span>Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500
x+3x+(x+100)=500</span>
<span>4x+(x+100)-500=0
</span><span>5x=400</span>
<span>x=80
</span><span>The first number is 80.
The second number is 240.
The third number is 180.
We can check by adding all three of those numbers together: 80+240+180 = 500
</span>
Hope this helps! If you have any questions just ask!
