Answer:
0
Step-by-step explanation:
x = 2
2 x 3 = 6 + 5 = 11
2 - 2 = 0
<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
D is the distance from moon to sun, and it's the hypotenuse of a right triangle.
Y is opposit to angle X
Sin (x) = y/d =
D = Y/sin(x)
Use Pythagorean theorem to solve.
a^2 + b^2 = c^2
6^2 + b ^2 = 14^2
36 + b^2 = 196
Subtract 36 from both sides.
b^2 = 196-36
b^2 = 160
Take the square root of both sides.
b = sqrt 160
As a decimal
b = 12.649
As a simplified radical
b = 4sqrt10
Answer: 3:4
Step-by-step explanation: There are 6 red grapes and 8 blueberries. So this would make the ratio 6:8 normally. You want to find the biggest number that goes into 6 and 8, which is 2. You divide both by 2 and get 3:4, since both don't have a big number that goes into both, your answer is 3:4
