Answer:
70 yd.
Step-by-step explanation:
The three streets at the intersection form a right triangle.
For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:
where
x is the length of the 1st side
y is the length of the 2nd side
h is the length of the hypothenuse
Here we want to find the hypothenuse.
We have:
x = 42 yd (length of the 1st side)
y = 56 yd (length of the 2nd side)
Substituting, we find h:
Answer:
Option A is correct.
Step-by-step explanation:
The height of the rectangular pack is h1 = 4r
The height of the parallelogram = 2r + the height of equilateral triangles with a side of 2r
The height of equilateral triangle with a side of 2r = (side)/2*√3
=(2r)/2 *√3 = r√3
The height of the parallelogram h2 = 2r+r√3 = r(2+√3)
So,the ratio of h1 to h2 is :
4r : r(2 +√3)
Cancelling r we get
Hence, the ratio is 4 : 2 +√3
Answer:
U=3
Step-by-step explanation:
Since 9*3=27, and 27-7=20, U=3.
Answer:
Step-by-step explanation:
There is no solution as you have two variables and only one equation. The best you can do is solve for one variable as a function of the other.
Answer:
A is correct because 1 and 3 are vertical angles.
B is correct because there are 180 degrees in a triangle. 180-65-55 = 60. Angle 2 is vertical to the third angle, so angle 2 equals 60.
C is incorrect because it is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 ≠ 60.
D is correct because 3 is an exterior angle. Exterior angles are equal to the sum of the two isolated interior angles. 65 + 55 = 120.
In review, A, B, and D are correct.
I hope this helps you =)