Always congruent due to the way the shape is built
Answer:
3 dimes and 10 quarters
Step-by-step explanation:
If you add 7 dimes, then the number of dimes and quarters is the same, and the total increases to $3.50. A dime and a quarter have a value together of $0.35. Since there are equal numbers, the value $3.50 must be made up of some quantity of groups with a value of $0.35. That number of groups must be ...
... $3.50/$0.35 = 10
Thus, there are 10 quarters and 10-7 = 3 dimes.
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<em>Using an equation</em>
Let q represent the number of quarters. Then the amount Bess has is ...
... 0.10(q -7) +0.25q = 2.80
... 0.35q - 0.70 = 2.80
... 0.35q = 3.50 . . . . . add 0.70 . . . . . . . this should look familiar
... q = 3.50/0.35 = 10
Answer:
Step-by-step explanation:
Add 18 to both sides:
Subtract 9h from both sides:
Multiply both sides by -1 and flip the symbol:
Divide both sides by 2:
Answer:
58.1 and 31.9 degrees
Step-by-step explanation:
x + other angle = 90 because complementary angles add up to 90
x = the angle
x = 26.2 more than the other angle
subtract 26.2 from both sides
x - 26.2 = other angle
x + other angle = 90
plug x - 26.2 for other angle
x + (x-26.2) = 90
2x - 26.2 = 90
add 26.2 to both sides to isolate the variable and its coefficient
2x = 116.2
divide both sides by 2 to find x
x = 58.1
other angle = x - 26.2 = 31.9
