Answer:
110 degrees, 84 degrees
Step-by-step explanation:
Picture 1:
See attached image for the angles I am referencing.
measure of angle a= measure of the 110 degree angle because of corresponding angles
measure of angle b=measure of angle a because of vertical angles
Therefore, through transitivity, we can state that the measure of
angle b= angle a= 110 degrees
Picture 2:
angle x=84 degree angle through alternate interior angles.
Answer: The top of the Crane is 31 feet above the ground.
Step-by-step explanation:
When it is fully extended, the crane arm forms a 30 degree angle with a line parallel to the ground. This means that a right angle triangle is formed. The length of the Crane's arm represents the hypotenuse. The horizontal distance represents the adjacent side of the right angle triangle. The distance, h of the top of the Crane from the ground represents the opposite side of the right angle triangle.
To determine h, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 30 = h/62
h = 62Sin30
h = 62 × 0.5
h = 31 feet
The point that corresponds to the real zero of the graph of y=log3(x+2)-1 is (1, 0)
<h3>Logarithm function</h3>
Given the logarithmic function expressed as:
y=log3(x+2)-1
The point that corresponds to the real zero of the graph is at the point where y = 0
log3(x+2)-1 = 0
log3(x+2) = 1
log3(x+2) = log3 3
x + 2 = 3
x = 3 - 2
x = 1
Hene the point that corresponds to the real zero of the graph of y=log3(x+2)-1 is (1, 0)
Learn more on logarithm function here: brainly.com/question/13473114
Answer:
A. x^2+6x-15
Step-by-step explanation:
(3x^2+2x-8)-(2x^2-4x+7) distribute the negative sign
3x^2+2x-8-2x^2+4x-7 combine like terms and simplify leaves us with the answer;
x^2+6x-15
