Problem 215
Check out the attached image. Line up the letters ABC and CDE so the first set of letters are over the second set of letters. Order is important here. Note how A corresponds to C (second C), B corresponds to D, and (the first) C corresponds to E.
We have this mapping:
A <--> C
B <--> D
C <--> E
This means...
Angle BAC corresponds to Angle DCE (red angles)
Angle ABC corresponds to Angle CDE (blue angles)
Angle BCA corresponds to Angle DEC (green angles)
It also means...
Side BC corresponds to Side DE (red sides)
Side AC corresponds to Side CE (blue sides)
Side AB corresponds to Side CD (green sides)
Check out the attached image which I hope clears up any confusion you may have. Often I think it helps to represent stuff like this in a visual way.
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Problem 216
Answer: True
Since triangle ABC is congruent to triangle DEF, this means that side AB is congruent to side ED. These are corresponding sides. Since AB = 6, this means ED = 6 as well.
Answer:
120 leaves
Step-by-step explanation:
If the caterpillar eats 75 leaves in 5 hours and continues to eat at the same rate, the number of leaves eaten is simple, 120 leaves.
How I found the answer:
First, I divided 75 by 5 and got 15, then I multiplied 8 to 15 and got 120.
1/6* 1/6. Multiply the top number and the bottom numbers and you have 1/36.
Answer: a) w = -26, -2
b) x = -4, -1
c) k = 17, -1
d) z = 65, 935
Multiple choice: D)
Step-by-step explanation:
a) (w+26)(w+2) = 0
w = -26, w = -2
b) (x+4)(x+1) = 0
x = -4, x = -1
c) (k-17)(k+1) = 0
k = 17, k = -1
d) (z-65)(z-935) = 0
z = 65, x z 935
Multiple Choice
D)
Multiply all terms by 2.
<h2><u><em>PLEASE MARK AS BRAINLIEST!</em></u></h2>
100 < 50(1.12)t
2 < (1.12)t
ln 2 < t ln (1.12)
0.6931 < t(0.1133)
6.117 < t