The red arrows mean the lines are parallel. Since all angles are equal, the larger triangle is similar to the smaller one. Then corresponding sides have the same ratio
(4x -2)/9 = (3x+2)/12
x(4/9 -3/12) = (2/12) +(2/9)
x = (7/18)/(7/36) = 2 . . . . . . . . . corresponding to the 3rd selection
Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
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<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
Mean
Step-by-step explanation:
I said mean because it would allow both Carl and Tamera to average their scores and compare one side by side rather than comparing 6 each which would just be time consuming and it seems like it wouldn't be any other choices.
Answer:
$120
Step-by-step explanation:
y = mx + b
The $100 sign up fee is a set amount, or the b value.
The $20 would be the m value since it the constant change, or the slope.
Thus, the equation would be y=20x + 100
The membership fee for 1 month would be --->
y= 20(1) +100
y= 20 + 100
y= $120
Answer:
DE = 39.64840676
CE = 35.3269891
Step-by-step explanation:
SOH CAH TOA
Thus,
sin(27) = 18/DE
tan(27) = 18/CE
DE = 39.64840676
CE = 35.3269891
