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°
Y = x - 2
Ex.
y = 1 - 2
y = -1
Answer:
C. (n₁ + n₂ - 2) degrees of freedom
Step-by-step explanation:
The t-test for difference between two mean when variance are equal is:
where ,
= Mean of Sample 1
= Mean of Sample 2
s = standard deviation
n_1 = size of Sample 1
n_2 = size of Sample 2
and t is Student's t-test with (n₁ + n₂ - 2) degrees of freedom.
Answer: Amount covered by financial aid=$3,585
Amount left that you have to pay =$1,195
Step-by-step explanation:
School cost for the term = $4780
Amount covered by financial aid = 3/4 of $4780
= 3/4 x 4780
Amount left that you have to pay=School cost for the term -Amount covered by financial aid
= $4,780 - $3,585
Amount left that you have to pay =$1,195
Answer:
- Width = 29mm
- Perimeter = 66mm
Step-by-step explanation:
The area of a rectangle can be calculated by the formula:
= Length * Width
As we have the length and the area, we can make the width the subject of the formula to solve for it:
116 = 4 * width
Width = 116/4
= 29 mm
Perimeter is:
= Length + Length + Width + Width
= 4 + 4 + 29 + 29
= 66 mm
