Answer:
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>
Step-by-step explanation:
1. Let's review all the information provided to us to answer the question correctly:
∠WXY and ∠YXZ are supplementary angles
m∠WXY=75°
2. Prove : m∠YXZ=105°
Let's recall that supplementary angles are those angles whose sum is 180 degrees. Therefore,
m∠WXY + m∠YXZ = 180°
Replacing with the real values:
75° + m∠YXZ = 180°
m∠YXZ = 180° - 75°
<u>m∠YXZ = 105°</u>
Given
Grant and Pedro are comparing their stocks for the week
On Monday, their results were opposite.
for Monday if Grant lost $4
Explain how you would graph their results for Monday.
To proof
let us assume that value of stocks after a week = x
As given in question
for Monday if Grant lost $4
i.e x= - $4
result were opposite for grant and pedro.
thus
for Monday if Pedro gain $4
i.e x = $4
Therefore two values are
x = -4 and x = 4 is shown in graph given below.
This shows that x = -4 lies left of 0 to x-axis and x = 4 lies right of 0 to x- axis.
<span># of books = 4 ; original cost = 4*9=36; savings = 0.10*36= 3.60
</span>
<span># of books = 2 ;original cost = 2*20=40; savings = 0.20*40= 8.00
</span>
<span>Percent savings:
original total cost=$76
Total savings = $11.60
Percent savings: 11.60/76 = 0.1526..= 15.26%</span>
Answer:
8 square units
Step-by-step explanation:
Area of a rectangle= lenght x width
locating the four points on a Cartesian plane
lenght = BC= AD = (0,4)->(4,4) = 4units
width = AB = CD = (0,2)-> (0,4) = 2units
Area of rectangle = 4units x 2units = 8 square units