<h3>Answer: Choice B) 8.57</h3>
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Explanation:
The triangles are similar through the AA (angle angle) similarity rule. Note how the angle markers correspond and match up. Example: angle C and angle F both have triple angle markers to indicate these angles are congruent.
The corresponding sides pair up to form equal fractions. AB and DE form AB/DE which is equal to AC/DF, as these two sides correspond as well.
Therefore: AB/DE = AC/DF
Let's plug in the given values and isolate x
AB/DE = AC/DF
11/7 = (15+x)/15 ...... substitution
11*15 = 7*(15+x) ....... cross multiply
11*15 = 7*15+7*x ...... distribute
165 = 105+7x
165-105 = 105+7x-105 ..... subtract 105 from both sides
60 = 7x
7x = 60
7x/7 = 60/7 ............ divide both sides by 7
x = 8.57142857142858
x = 8.57 ..... rounding to the nearest hundredth
1. (x , y) → (kx , ky) = Dilation ; similar image
2. (x , y) → (y , -x) = Rotation 90 counterclockwise ; congruent
3. (x , y) → (-x , y) = Reflection over y-axis ; congruent
4. (x , y) → (-x , -y) = Rotation 180 ; congruent
5. (x , y) → (x, -y) = Reflection over x-axis ; congruent
6. (x , y) → (-y , x) = Rotation 90 clockwise ; congruent
7. (x , y) → (x + a , y + b) = Translation ; congruent
Hope this helps :)
Answer:
I give you an example
the formula said x^m/x^n= x ^(m-n)
if m=n
x^m/x^m=1
but x^(m-m)=x^0=1
Step-by-step explanation:
Kyla put 4 ounces of milk in 2 cups of coffee for her parents. How much milk would she need for 16 cups of coffee?
A: 1c
B: 1qt
C:2c
D:2qt
______________
4 ounces of milk in 2 cups of coffee for her parents.
4/2= 2 ounces of milk per cup
___________________
for 16 cups
Do you know how many ounces correspond to c or qt?
16* 2= 32 ounces
________________
32 ounces = 1 qt
So then,
Kyla needs to put 1 qt for 16 cups of coffee
Answer: B 1 qt
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Do 13 x 13 x 13.
13 x 13 x 13 = 2197 in3
Hope this helps!
