Answer:
Step-by-step explanation:
17) HI ≅ UH ; GH ≅ TU ; GI ≅ TH
ΔHGI ≅ ΔUTH by Side Side Side congruent
∠G ≅ ∠T ; GI ≅ TH ; ∠GIH ≅ ∠THU
ΔHGI ≅ ΔUTH by Angel Side Angle congruent
19) IJ ≅ KD ; IK ≅ KC ; KJ ≅ CD
ΔIJK ≅ ΔKDC by Side Side Side congruent
∠J ≅ ∠D ; IJ ≅ KD ; ∠I ≅ ∠DKC
ΔIJK ≅ ΔKDC by Angle Side Angle congruent
Answer:
<h3>y*5-8=47</h3><h3>y*5=47+8</h3><h3>y*5=55</h3><h3>y=55/5</h3><h3>y=11</h3>
Answer:
![r = \$14.71](https://tex.z-dn.net/?f=r%20%3D%20%5C%2414.71)
Step-by-step explanation:
Given
Normal Hour = 32 hours
Overtime = Hours above 32
Rate for Overtime = 1.4 times normal rate
Earnings = $535.62
Required
Determine the normal hour pay
First, we need to determine the hours worked overtime.
This is:
![Overtime = 43 - 32](https://tex.z-dn.net/?f=Overtime%20%3D%2043%20-%2032)
![Overtime = 11](https://tex.z-dn.net/?f=Overtime%20%3D%2011)
The equation that binds all the parameters is:
![Earnings = Normal\ Hour * Normal\ Rate + Overtime * Overtime\ Rate](https://tex.z-dn.net/?f=Earnings%20%3D%20Normal%5C%20Hour%20%2A%20Normal%5C%20Rate%20%2B%20Overtime%20%2A%20Overtime%5C%20Rate)
This gives:
![535.62 = 21 * r + 11 * 1.4r](https://tex.z-dn.net/?f=535.62%20%3D%2021%20%2A%20r%20%2B%2011%20%2A%201.4r)
![535.62 = 21r + 15.4r](https://tex.z-dn.net/?f=535.62%20%3D%2021r%20%2B%2015.4r)
![535.62 = 36.4r](https://tex.z-dn.net/?f=535.62%20%3D%2036.4r)
Solve for r
![r = 535.62/36.4](https://tex.z-dn.net/?f=r%20%3D%20535.62%2F36.4)
![r = \$14.71](https://tex.z-dn.net/?f=r%20%3D%20%5C%2414.71)