We have been given that Figure LMNO maps to L’M’N’O’ by a 125° rotation about point T. We are asked to choose correct congruency statement about our figures.
Since we know that rotations are isometric and they preserve angle measures.
We can see that after rotating figure LMNO about point T, angle L will correspond to angle L' and angle M, N and O will correspond to angles M', N' and O' respectively.
Therefore, figure LMNO will be congruent to L'M'N'O' and first option is the correct choice.
Answer:X=15 Y=4
Step-by-step explanation:
1. PR=US or 3y=12 divide 3y by 3 and cancel 3 out then divide 12 and get Y=4.
2. QR=TU or 2x=30, divide 2x by 2 and cancel out 2, then divide 30 by 2 and get X=15.
3. PQ=ST or 64=4x+y or 64=4(15)+4 and get 64=64
kung 5ft and a width of 9ft and the area of prism is 174 the answer is 5ft
Answer:
$360.67
Step-by-step explanation:
You would take $425.82 and add her deposit of $120.75 to get $546.57. Next you would the the $546.57 and subtract her withdrawl of $185.90 which will give you $360.67.
<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
