Prove that the triangle EDF is isosceles. Give reasons for your answer.

Proved

Step-by-step explanation:

Required;

Prove that the above triangle is a triangle

An isosceles triangle has 2 equal sides and 2 equal angles;

But in this case, we're dealing with only angles.

Once, we can prove that triangle EDF has 2 angles, then it has been proven that it is an isosceles triangle.

The first step is to calculate

First, it should be noted that angle on a straight line equals 180;

This implies that

Subtract from both sides

The next step is to calculate the measure of

It should be noted that angles in a triangle add up to 180;

This implies that

Where

becomes

Subtract 90 from both sides

Perform arithmetic operation on y and -y/2

Subtract y/2 from both sides

At this point, it has been proven that triangle EDF is isosceles because

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

triangle and cube

step-by-step explanation: