To determine the system of inequality that has been graphed, we need to be very smart.
Observe that all the equations are the same.
Also note that all the lines are solid. This should tell you that the inequities should involve.

Therefore the answer is between option A and B.
So we choose a point in the solution region to discriminate between A and B.
Let us choose the origin since that is easy to evaluate.
We substitute into option A to get.



The above statements are false
We now substitute into option B



Both statements are true, therefore the correct answer is option B.
Answer: B. 2.5 in
Step-by-step explanation:
From the given right angle triangle,
the hypotenuse of the right angle triangle is the unknown side.
With m∠32 as the reference angle,
the adjacent side of the right angle triangle is 4 in
the opposite side of the right angle triangle is w
To determine w, we would apply
the tangent trigonometric ratio which is expressed as
Tan θ = opposite side/adjacent side. Therefore,
Tan 32 = w/4
w = 4tan32 = 4 × 0.625
w = 2.5 in
Answer:
11.4 feet
Step-by-step explanation:
Using the right triangle formed by the tent pole, the ground and the guy rope, where the guy rope (g) is the hypotenuse.
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
g² = 9² + 7² = 81 + 49 = 130 ( take the square root of both sides )
g =
≈ 11.4 feet
1 1/3 /
5/6
=
8/5 or 1 3/5
Answer:
50 each base angle
Base Angle_1 + Base Angle_2 + Vertex = 180
50 + 50 + 80 = 180
180 = 180
Step-by-step explanation:
Sum of interior angles of Triangle is 18- degrees.
2b + vertex = 180
2b + 80 = 180
2b + 80 -80 = 180 - 80
2b = 100
b = 50