Answer:

Step-by-step explanation:
We can use exponent rules to try and simplify this expression down.
Exponent rules tell us that
.
This means that since we have the same base on both terms (7 and 7), we can add the exponents to get a simplified expression.

So our simplified expression is
.
Hope this helped!
Answer:
55.13
Step-by-step explanation:
10×5.25 = 52.50
52.50+2.63= 55.13
To prove a similarity of a triangle, we use angles or sides.
In this case we use angles to prove
∠ACB = ∠AED (Corresponding ∠s)
∠AED = ∠FDE (Alternate ∠s)
∠ABC = ∠ADE (Corresponding ∠s)
∠ADE = ∠FED (Alternate ∠s)
∠BAC = ∠EFD (sum of ∠s in a triangle)
Now we know the similarity in the triangles.
But it is necessary to write the similar triangle according to how the question ask.
The question asks " ∆ABC is similar to ∆____. " So we find ∠ABC in the prove.
∠ABC corressponds to ∠FED as stated above.
∴ ∆ABC is similar to ∆FED
Similarly, if the question asks " ∆ACB is similar to ∆____. "
We answer as ∆ACB is similar to ∆FDE.
Answer is ∆ABC is similar to ∆FED.
15; it represents the one-time sign-up fee
The y-intercept can be found either on the graph where the line intercepts the y-axis, or b in the equation y=mx+b.
It represents the fee because it will be charged even if the number of months (x) is zero. 10 is the monthly fee because it is multiplied by x, the number of months.
Answer: B, angle 1 and angle 7.
Step-by-step explanation: Of all the options provided, B is the only one where the the two angles are not congruent to each other. Also, same side interior angles are congruent, so...