Answer:
(0.5, 1.3)(0.5, 1.3)
Step-by-step explanation:
Given equations are:
As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.
We can plot the graph of both equations using any online or desktop graphing tool.
We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)
We can see from the graph that the lines intersect at: (0.517, 1.267)
Rounding off both coordinates of point of intersection to nearest tenth we get
(0.5, 1.3)
Hence,
(0.5, 1.3) is the correct answer
Keywords: Linear equations, variables
Answer: The measure of JK is 60 and the correct option is d.
Explanation:
It is given that the points F, G, and H are the midpoints of the sides of triangle JKL , FG = 37, KL = 48, and GH = 30.
The point F is midpoint of JK, point G is midpoint of KL and the point H is midpoint of LJ as shown in figure .
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.
By midpoint theorem,
Therefore the measure of JK is 60 and the correct option is d.
Answer:
3
Step-by-step explanation:
:)
Answer:
51.2feet
Step-by-step explanation:
Given;
Horizontal distance = 40feet (Adjacent)
Angle of elevation = 52 degrees
Required
Height of the pole H (Opposite)
Using the SOH CAH TOA identity
Tan theta = opp/adj
Tan 52 = H/40
H = 40tan 52
H = 40(1.2799)
H = 51.2 feet
Hence height, h, of the flagpole to the nearest tenth is 51.2feet