Answer:
m∠YWZ = 36°
Step-by-step explanation:
* Lets explain how to solve the problem
- Point Y is in the interior of ∠XWZ
- Rays WX and WZ sre opposite rays
- That means rays WX and WZ formed a straight angle
- m∠XWY = 4(m∠YWZ)
- We need to find the m∠YWZ
* Lets solve the problem
∵ Rays WX and WZ are opposite rays
∴ ∠XWZ is a straight angle
∵ The measure of the straight angle is 180°
∴ m∠XWZ = 180°
- Point Y is in the interior of ∠XWZ
∴ m∠XWZ = m∠XWY + m∠YWZ
∵ m∠XWY = 180°
∴ m∠XWY + m∠YWZ = 180° ⇒ (1)
∵ m∠XWY = 4(m∠YWZ) ⇒ (2)
- Substitute equation (2) in equation (1)
- That means replace m∠XWY by 4(m∠YWZ)
∴ 4(m∠YWZ) + m∠YWZ = 180
∴ 5(m∠YWZ) = 180
- Divide both sides by 5
∴ m∠YWZ = 36°
The values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a linear equation in three variable:
2x + 3y - z = 5 ...(1)
4x - y - z = -1 ...(2)
x + 4y + z = 12 ...(3)
(from the equation 1 and 2)
After solving:
From the above, two equations:
y =2
z =3
Plug the above values in equation 1
x = 1
Thus, the values of x, y, and z are 1, 2, and 3 respectively after using the substitution method.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ1
Step-by-step explanation:
<u>Formula:</u>
r represents the radius.
The radius is 1/2 of the diameter.
Since 1/2 of 16 is 8, 8 is our radius.
<u>Substitute:</u>
<u>Solve:</u>
Okay. So, she buoyant 5.65 lbs of roast beef for $4.50. Multiply both of those numbers to get 25.425 or 25.43 when rounded to the nearest hundredth. So the total cost was $25.43. However, we now have to divide the amount by 6.5. 25.43/6.5 is 3.912 and other odd numbers or 3.91 when rounded to the nearest hundredth. The cost per sandwich was $3.91.
Answer:
A
Step-by-step explanation:
If you simplify you get -45=75 and that’s not true.
