The answer should be b=111
Answer:
24 hours
Step-by-step explanation:
Kristen = 8 hours
Kristen and Courtney = 6 hours
Courtney = x hours
in six hours kirsten can do 6/8 of the job
6/8 = 3/4
So kirsten is going to be doing 3/4 of the job
Courtney is only going to do 1/4 of the job
Number of hours it takes Courtney to do the job
6/x = 1/4
Cross product
6 * 4 = x * 1
24 = x
x = 24 hours
It will take Courtney 24 hours to type a 50-page paper on her own
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.
<u>Answer:</u>
Height of cables = 23.75 meters
<u>Step-by-step explanation:</u>
We are given that the road is suspended from twin towers whose cables are parabolic in shape.
For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.
Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of 
or 
, and y at 95.
We know that the equation of a parabola is in the form 
and here it passes through the point 
.
So new equation for parabola would be 
.
Now we have to find the height 
of the cable when 
.
y = 23.75 meters
