Answer:
Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
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<h3>x</h3>
long side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
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<h3>y</h3>
hypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
Answer:
Step-by-step explanation:
Reasons
2. If two lines are parallel, their corresponding angles are congruent.
3. Congruent angles are equal... Why do they even have this step?
4. A straight line forms a linear pair.
5. Angles in a linear pair are supplementary.
6. ∠1 is supplementary to ∠3. Reason: If an angle is congruent to an angle that is supplementary to a third angle, the first and third angles are congruent OR Transitive Property.
Answer:
6 6/11, 6.547, 131/20, 6.77.
Step-by-step explanation:
First convert to decimal values.
131/20 = 6.55
6.77
6 6/11 = 6.54545
6.547
Answer:
Mary- $18
Jane- $30
Step-by-step explanation:
Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.
x(3+5) = $48
3x + 5x = $48
8x = $48
8x/8 = $48/8
x = $6
3($6):5($6) = $18:$30
Answer: =4c^3-7c^2+4c
Step-by-step explanation:
