We can use a rule of three simple, direct proportion to solve this problem.
15 pounds correspond to $1.80, then the question is to find the price of one pound, the called unit rate. We state the rule of three:
15 pound ----> $1.80
1 pound -----> x
x = (1)(1.80)/15
x = 0.12
Therefore, each pound costs $0.12 that is the unit rate in pounds
Answer:
Step-by-step explanation:
<u>The angles B and Q should be same, therefore:</u>
- Q = 4x + 2 and B = 15x - 64
<u>The equation below as per above, solving for x:</u>
- 4x + 2 = 15x - 64
- 15x - 4x = 64 +2
- 11x = 66
- x = 6
<u>Then the angle measures:</u>
<u>Top row - Left Row :</u>
Order : Left to Right
{11.7 - below(negative)} , {11.6 - below(negative)} , {12 - exactly filled} , {12.2 - above(positive)}
<u>Middle Row </u>:
Order : Left to Right
{11.1 - below(negative)} , {11.2 - below(negative)} , {11.9 - below(negative)} , {12.5 - above(positive)}
<u>Right Row </u>:
Order : Left to Right
{12 - exactly filled} , {11.4 - below(negative)} , {11.5 - below(negative)} , {10.8 - below(negative)}
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
