Answer:
m∠W = 125°
m∠X = 55°
m∠Z = 55°
Step-by-step explanation:
The shape is parallelogram WXYZ. m∠Y = 125.
A parallelogram is a quadrilateral shape in which both opposite sides and opposite angles are equal to each other. The diagonals of a parallelogram bisect each other. Also consecutive angles in a parallelogram are supplementary.
Therefore in parallelogram WXYZ:
m∠Z + m∠Y = 180° (Consecutive angles in a parallelogram are supplementary)
m∠Z + 125 = 180
m∠Z = 180 - 125
m∠Z = 55°
m∠W = m∠Y (Opposite angles are equal)
m∠W = 125°
m∠W + m∠X = 180° (Consecutive angles in a parallelogram are supplementary)
m∠X + 125 = 180
m∠X = 180 - 125
m∠X = 55°
Answer:
Arjun is 20 years old and Shreya is 10 years old.
Step-by-step explanation:
5 YEARS AGO-
Arjun: 2x-5
Shreya: x-5
NOW-
Arjun: 2x
Shreya: x
EQUATION-
2x-5=3(x-5) = 2x-5=3x-15
(add 15 on both sides)
2x+10=3x
(subract 2x from both sides)
x=10
Therefore, Arjun is 20 years old and Shreya is 10 years old :)
Answer:
Example 11 answer = 12
Step-by-step explanation:
40, 36, 32, 28
is an arithmetic sequence.
The first term (a) is 40
The common difference (d) is -4
The formula for finding the nth term (
in an arithmetic sequence is;
= a + d(n - 1)
= 40 + -4(8 - 1)
= 40 - 28 = 12
