Hey there!
Your answer is C.
If you take the lengths of the legs of the triangle, which are 12 and 4, we can multiply them by the scale factor to see what the legs of our new triangle is.
12 x 1/4 = 3
4 x 1/4 = 1
So, the legs of our new triangle have lengths of 1 and 3.
We can see that option C has the correct triangle in red.
If we're looking at the ratio of rise to run of each triangle, it is 1/3 for both the large triangle and the small triangle.
The rise for the larger triangle is 4, and the run is 12. That is 4/12, which can be simplified to 1/3.
The rise for the smaller triangle is 1, and the run is 3. That is 1/3, which is all the way simplified already.
These triangles are similar because the first one was dilated to get the second one, which explains why the ratios are the same.
Hope this helps!
The Area is the width<span> times the </span>height<span>: A = w x h;
Then, 64 = w x h;
h = 4 + w;
64 = 4w + w^2;
w^2 + 4w - 64 = 0;
We solve this equation: w1 </span>≈ 6,24 > 0 (okay); w2 ≈ - 10,24 < 0 (not okay);
<span>Finally, h1 </span>≈ 10,24;<span>
</span>
Answer:
4.75 inches.
Step-by-step explanation:
We must introduce the symbols for inches and feet.
Here we will use, x' = x feet and x" = x inches
A high school track teams long jump record is 21 feet and 
inches i.e. 21'2.25" this year.
Now, Tim's best long jump is 20 feet and 
inches i.e. 20'9.5".
So, the difference between the record jump and Tim's best jump is
(21'2.25" - 20'9.5")
= (21'2.25" - 21') + (21' - 20'9.5")
= 2.25" + 2.5" {Since, 1' = 12" i.e. 21' = 20' 12"}
= 4.75"
Therefore, Tim has to jump 4.75 inches farther to break the record. (Answer)
Answer:
y = 2x - 1
Step-by-step explanation:
