Answer:
x = 4
Step-by-step explanation:
DE / XY = EF / YZ
5 / 10 = 2x-1 / 14
cross-multiply:
10(2x-1) = 14(5)
20x - 10 = 70
20x = 80
x = 4
Answer:
The measure of all the angles are;
45°, 135°, 45°, and 135°
Step-by-step explanation:
The given parameters are;
The ratio of two adjacent angles of the parallelogram = 1:3
Let x represent one of the adjacent angles, and let y represent the other adjacent angle
Given that two adjacent angles of a parallelogram are supplementary, we have;
x + y = 180°
x:y = 1:3
Therefore, y = 3 × x = 3·x, which gives;
x + 3·x = 180°
4·x = 180°
x = 180°/4 = 45°
y = 3 × x = 3 × 45° = 135°
Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;
45°, 135°, 45°, and 135°.
Answer:
Yes
Step-by-step explanation:
The answer would be -5 1/4
1 person because there is 1 in 100 chance that you get your hat back