Answer:
t(d(n)) = 12n + 7
Step-by-step explanation:
- t(d) = 3d + 1
- d(n) = 4n + 2
<u>t(d(n)) = t(4n + 2) </u>
Substitute the function d(n) into the function t(d) for the variable d.
t(4n + 2) = 3(4n + 2) + 1
t(d(n)) = 12n + 7
Hey there!
The answer is 58 degrees
Since ΔABC ~ ΔDEF, then m∠A ~ m∠D, and m∠B ~ m∠E, and m∠C ~ m∠F. This means we can set m∠A equal to m∠D:
x + 29 = 2x
Subtract x from both sides:
29 = x
Now, we plug into the angle expressions to find their measurement:
m∠A = 29 + 29
<u>m∠A = 58</u>
<u><em>Since they are equal, m∠A and m∠D are both 58 degrees.</em></u>
<u><em></em></u>
Have a terrificly amazing day! :)
Answer:
= 42 in^2
Step-by-step explanation:
This figure is a trapezoid
The area of a trapezoid is given by
A = 1/2 (b1+b2) h where b1 and b2 are the top and bottom bases and h is the height
A = 1/2( 13+8)* 4
A = 1/2(21)*4
= 42 in^2