Answer:

Step-by-step explanation:
Remember that complementary angles <em>always </em>add up to 90°.
We know that the two complementary angles are represented by (x) and (x+14). In other words:

So, let's solve for x.
First, combine like terms:

Let's isolate the x by subtracting 14 from both sides:

The left cancels. Subtract on the right:

Divide both sides by 2:

The left side cancels. Divide on the right:

So, the value of x is 38°.
And we're done!
Answer:
-8.
Step-by-step explanation:
-2|-1+5|
The absolute value function |-1+5| = |4| = 4
-2 * 4 = -8.
You are right.
Answer:
a. (-3,3), (18,-6), (9,15)
Step-by-step explanation:
If the scale factor is 3 and dilation is about the origin, each of the coordinates of the pre-image is multiplied by 3 to get the coordinates of the image.
Multiplying (-1, 1) by 3 gives (-3, 3), which matches choices A and C.
Multiplying (6, -2) by 3 gives (18, -6) which matches choices A and D.
The only viable choice is choice A.
Answer:
12
Step-by-step explanation:
(5×6)-½(3×6 + 2×4 + 2×5)
=30 - ½(18+8+10)
= 30 - ½(36)
=30-18= 12