<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
Answer:
Option 4
Step-by-step explanation:
Coordinances for a three-dimensional coordinate system are (x, y, z).
The letter labeling each axis is always on the positive side.
The fourth option is correct because you move 3 units away from the 'x', 1 unit away from the 'y', then 2 units toward the 'z'.
6.7
6 7/10
(You can do an infinite amount with fractions)
Six and seven tenths
The answer to this question would be: D. <span>200>6P(8.00)+4S(5.00)
</span>
Michaela is planning a pizza party for 48 people and she uses 12-pack of soda and <span>8-slice pizza. That means the pack of soda she needs would be:
48 people/ (12soda/pack)= 4 pack
Then, number the pizza she needs:
48 people/ 8 (slice/pizza)= 6 pizza
She has $200 so the price she can afford should be lower than that. The function would be:
the money she has > number of pizza(price of pizza) + number of soda(price of soda)
</span>200>6P(8.00)+4S(5.00)
