It's a parallelogram so if one angle is 90 degrees they all will be because of transverse angles and all that good stuff.
So we're given the diagonal of a rectangle and one side and we're asked to find the other. The diagonal of a rectangle is the hypotenuse of the right triangle whose legs are the sides of the rectangle. So this is a Pythagorean Theorem question in disguise:
Answer: 140 cm
I don't recall seeing this Pythagorean Triple before.
Answer:
x² is HCF (Height common factor)
Step-by-step explanation:
Given:
x² , x³
Find:
HCF (Height common factor)
Computation:
HCF (Height common factor) is uused to find Height common factor from the given numbers.
x² , x³
Takling x² as common
x² (1 , x)
So,
x² is HCF (Height common factor)
The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality. The boundary line is dashed for > and < and solid for ≤ and ≥. The half-plane that is a solution to the inequality is usually shaded.
Example:
Is (1, 2) a solution to the inequality
2x+3y>1
2times1+3times2>1
2+5>1
7>1
Answer:
y
Step-by-step explanation:
because 
does not contain y
Answer:
Step-by-step explanation:
m and n are parallel and cut by a transversal
<u>Finding x</u>
- 8x + 12 + 2x + 18 = 180 (consecutive interior angles sum up to 180°)
- 10x + 30 = 180
- 10x = 150
- x = 15
<u>Finding y</u>
- 8x + 12 = 3y - 18 (vertical angles are equal)
- 8(15) + 12 = 3y - 18
- 132 = 3y - 18
- 150 = 3y
- y = 50
