Answer: ∠E=55°
Step-by-step explanation:
<u>Concept</u>
- In all similar triangles, their corresponding angle will be the same value
- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°
<u>Given</u>
- Two pairs of corresponding angles
- Two similar triangles
<u>Solve</u>
(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up
6x-15=5x-1 ⇔ Subtract 4x on both sides
x-15=-1 ⇔ Substract 5x on both sides
x=14 ⇔ Add 15 on both sides
180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180
=180-4(14)-([5(14)-1]
=180-56-69
=55°
Hope this helps!! :)
Please let me know if you have any questions
Answer:
A should be around 53.13 degrees.
Step-by-step explanation:
For problems like these, use arc sin, cos, or tan (sin^-1, cos^-1, or tan^-1) multiplied by the fraction given in the problem.
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The graph represent a vertical parabola open up
The vertex is the minimum value of the parabola
The vertex is the point (3,-4)
The x-intercepts are the points (1,0) and (5,0)
The x-intercepts are the values of x when the value of y is equal to zero
The y-intercept is the point (0,5)
The y-intercept is the value of y when the value of x is equal to zero
The domain is the interval -----> (-∞,∞) All real numbers
The range is the interval -----> [-4, ∞) All real numbers greater than or equal to -4
see the attached figure to better understand the problem
April mows 4/8 of an acre of grass per hour
I got this answer because I divided 45÷3 and got 15. So, I know that 15×4=60 and in minutes that equals a hour. I changed 3/8 to 4/8 since it was multiplying 4×15 instead of 3×15.
Answer:
(-∞, 4]
Step-by-step explanation:
You can read the vertical extent of the function from the graph. It extends from negative infinity to (and including) plus four.