Find the measure of . (to the nearest tenth) PLEASE I NEED HELP :((
1 answer:
Answer:
Step-by-step explanation:
This is classic right triangle trig. First decide how each side is related to the angle theta. The side 7.7 is opposite the angle theta, while the side 14 is adjacent. That is the tangent ratio by definition. Setting up the tan ratio:
To find a missing angle on your calculator, hit the 2nd button, then the tan button and enter in 7.7/14 and hit enter. You should get an angle measure of 28.8°
If you did not get 28.8 then you are probably in radians. Check it in the "mode" of your calculator.
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Answer:
- See below and the attached
Step-by-step explanation:
<u>Given triangle EFG:</u>
- E(0, 5), F(1, 1), G(-2, 1)
- Center of dilation is H(0, 1)
- Scale factor is k = 3
<u>The rule for this dilation is:</u>
- (x, y) → (k(x - a) + a, k(y - b) + b)
- (x, y) → (3x, 3(y - 1) + 1) = (3x, 3y - 2)
<u>The coordinates of E'F'G' are:</u>
- E → E' = (0, 5) → (0, 13)
- F → F' = (1, 1) → (3, 1)
- G → G' = (-2, 1) → (-6, 1)
- Points H and H' overlap as center of dilation at (0, 1)
<u>Options (verified with the graph):</u>
Segment EH and segment E prime H prime both pass through the center of dilation.
- True
The slope of segment EF is the same as the slope of segment E prime H prime.
- False
Segment E prime G prime will overlap segment EG.
- False
Segment EH ≅ segment E prime H prime.
- False
