Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion

Then we plug in the values

and
can be simplified to
, so that is our ratio of similarity
then we know

Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
Answer:
I like to compare them all the same. Put all the equations in slope intercept form y=mx+b
So you need to isolate y.
Step-by-step explanation:
Main equation to compare y=2/3x + 4
If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.
First one is y=2x +12 neither
Second one is y= -3/2x -1 perpendicular
Third one is y= 2/3x - 1 parallel
Forth one is y= 2/3x + 11/3 parallel
Answer:
D. Rectangular prism
Step-by-step explanation:
I believe the answer is D. Rectangular prism
First, convert 5 and 24/10 into a mixed fraction:
5 and 24/10 = 74/10
Now, divide 74/10 by 4:
74/10 ÷ 4 = 74/10 × 1/4
= 74/40
= 37/20
= 1 and 17/20
(Remember that dividing requires you to reciprocate 4)
Hope this helps!
Answer:
Q=(1,-5)
R=(5,-5)
S=(2,-7)
Step-by-step explanation: