Answer:
104.6 deg, 75.4 deg
Step-by-step explanation:
One angle measures x.
The other angle measures 29.2 deg less than x, so it measures x - 29.2.
They are supplementary angles, so the sum of their measures is 180 deg.
x + x - 29.2 = 180
2x - 29.2 = 180
2x = 209.2
x = 104.6
x - 29.2 = 75.4
Answer: 104.6 deg, 75.4 deg
The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>
The value of x is calculated using the following sine trigonometry ratio
Make x the subject
This gives
Hence, the value of x is 11.8310
<h3>Question 2</h3>
This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>
This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
brainly.com/question/6241673
Answer: A) When all three ticket prices generate the same revenue.
Step-by-step explanation:
Reserved tickets cost $20 each.
Field-level tickets cost $50 each.
Seat tickets cost $100 each.
Then if x represents the number of reserved tickets sold, the total revenue for the reserved tickets will be:
R(x) = x*$20
If w represents the number of field-level tickets sold, the total revenue for field-level tickets will be:
F(w) = w*$50
If y represents the number of seat tickets sold, then the total revenue for the seat tickets will be:
S(y) = y*$100
Those equations will intersect when:
R(x) = F(w) = S(y)
This will mean that they will intersect when all three tickets have the same revenue, then the correct option is:
A) When all three ticket prices generate the same revenue.
Answer:
8439
Step-by-step explanation:
7332
Answer:
Choice A. Segment LM is congruent to segment LO.
Step-by-step explanation:
Triangles LMX and LOX are right triangles since we see that each one has a right angle.
Segment LX is congruent to itself. Segment LX is a side of both triangles. It is a leg of both triangles, so we already have a leg of one triangle congruent to a leg of the other triangle.
For the HL theorem to work, we need a leg and the hypotenuse of one triangle to be congruent to the corresponding parts of the other triangle. Since we already have a pair of legs, we need a pair of hypotenuses.
The hypotenuses of the triangles are segments LM and LO.
Answer: A. Segment LM is congruent to segment LO.
