In the question we are given three lines L,M and N such that:
Line L is perpendicular to M
and line L is parallel to line N
so the option is (C) M is perpendicular N
Step-by-step explanation
We are given three lines L,M and N such that:
- Line L is perpendicular to M
- Line L is parallel to line N
<u>We know that when one line parallel to the second line and is perpendicular to the third line then the second line is also perpendicular to the third line.</u>
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So,the answer is (C) M is perpendicular N
To solve for x and y, you need to know if the triangles are congruent. They are because of their congruent sides and exterior angles are the same measure.
Now you know that the triangles are congruent, you can set up a proportion for the side lengths you are looking for.
For x...
22/10=x/12. Then cross mutiply. x =26.4
You can do this because the triangles are congruent.
For y...
22/10 =37.4/y. Then you cross multiply. y=17
The correct answer is B.
Answer:
one side is 40 other is 50
Step-by-step explanation:
perimeter=180cm
let one side=length=x
Acc. to condition:
other side=width=x+10 (one side exceed other by 10)
perimeter= 2(length+width)
subtitue all values given above:
180=2(x+x+10)
180=2(2x+10)
2x+10=180/2
2x+10=90
2x=90-10
2x=80
x=40
now
lenght=x=40cm
width=x+10=40+10
width=50cm
Let's begin by listing out the information given to us:
We start out by observing that Triangles MKR & ACD are similar or proportional
We will solve for the missing side by using the similar triangle theorem. This is shown below:~
<u>Picture 1:</u>
To figure this out, notice the pattern happening on x. It's simply counting to four, so the first blank is 1 and the next is 2.
The y coordinates seem to be going up by 9. 27 plus 9 is 36, so the answer to the fourth box is 36.
Another way to see how this is correct is to notice that the x is multiplying by 9 to get y. It works out as you look at it and plug it in!
<u>Picture 2:</u>
Yes, this is a proportional relationship. Since Dennis is adding 3 logs every hour, it is keeping a consistent pattern.
<u>Picture 3:</u>
If Jane is driving 60 miles per hour, the first hour she would've gone 60 miles. After a second hour, she would've gone 120 miles. Multiply 60 to your x coordinates to figure this out. You should get 60, 120, 180, and 240 for each box.
