4. C)If two figures are congruent, then they are similar.
If they are congruent them shape and size are the same and hence they are similar
5. Ratio 4/3 smaller side is 21
Multiply to find large side
4/3×21= 28ft D)
6. Width went from 24 to 3 in divide to get ratio
24/3 =8 now divide the length by 8 to find the postcard length
32/8= 4 in A)
8. If they are similar you need to find the ratio y reduces from 8 is similar to 6 so link those 6/8
This is your ratio you can simplify it to 3/4 now y/6 should also = 3/4
Y/6=3/4
Y=18/4= 4.5 C)
9.C)DC
Answer:
Step-by-step explanation:
x1 y1 x2 y2
-2 -2 0 3
ΔY 5
ΔX 2
slope= 2 1/2
B= 3
Y =2.5X +3
Since there are 120 payments in total
Then the total
interest paid is $ 9,118.32
The monthly interest = $ 9,118.32 / 120
The monthly interest = $ 75.99 per month
% total interest = ( $ 9,118.32/ 29,118.32) x 100
% total interest = 31.31 %
Answer:
1 hour
Step-by-step explanation:
Well if the wind is blowing in his face 4 miles per hour and pushing him home 4 miles per hour then the wind pushing him home would make up for the time lost by the wind blowing in Ted's face because the wind was going at the same speed both times.
<em>Note: My answer assumes that the ground was flat. If it was not flat but slanted like a hill, then this answer would be incorrect.</em>
Answer:
Since the legs of the right triangle measure x + 1 and x + 15, respectively, and since the hypotenuse measures x + 17, the Pythagorean Theorem can be used as follows: (x + 1)2 + (x + 15)2 = (x + 17)2. This equation becomes (x2 + 2x + 1) + (x2 + 30x + 225) = x2 + 34x + 289, which then becomes 2x2 + 32x + 226 = x2 + 34x + 289. When all the terms are moved to one side, the equation becomes x2 – 2x – 63 = 0, and when the left side of the equation is factored, it becomes (x – 9)(x + 7) = 0. At this point, it seems as if x can equal 9 or –7, but if x were –7, one of the legs would have a negative length, and this is impossible. For this reason x equals 9, and the legs of the triangle measure 10 and 24, respectively, while the hypotenuse measures 26. Since cosine is
length of adjacent leg
length of hypotenuse
, the cosine of angle C is
24
26
, or
12
13
.
