Answer:
75
120
Step-by-step explanation:
Let the first mechanic's hourly rate = x
Let the second mechanic's hourly rate = y
x + y = 195
15x + 5y = 1725 Divide this equation by 5
3x + y = 345 Write the first equation below this one. Subtract
<u>x + y = 195</u>
2x = 150 Divide by 2
x = 150/2
x = 75
====================
x + y = 195
75 + y = 195
y = 195 - 75
y = 120
Answer:
C is the answer
Step-by-step explanation:
Hope this helps
Have a good day
Answer:
°
°
°
°
°
°
Step-by-step explanation:
The triangles are drawn below.
Since, CD is the height to AB, therefore, CD is perpendicular to AB.
Therefore, angles
°
Also,
is same as
.
Therefore,
°
Now, triangles ΔCBD and ΔCAD are right angled triangles.
So, for the right angled triangle ΔCAD,
![m\angle CAD+m\angle ACD=90\\\alpha + m\angle ACD=90\\m\angle ACD=90- \alpha](https://tex.z-dn.net/?f=m%5Cangle%20CAD%2Bm%5Cangle%20ACD%3D90%5C%5C%5Calpha%20%2B%20m%5Cangle%20ACD%3D90%5C%5Cm%5Cangle%20ACD%3D90-%20%5Calpha)
Now, from the figure,
![m\angle C=m\angle ACD+m\angle BCD\\90=90- \alpha + m\angle BCD\\\therefore m\angle BCD=\alpha](https://tex.z-dn.net/?f=m%5Cangle%20C%3Dm%5Cangle%20ACD%2Bm%5Cangle%20BCD%5C%5C90%3D90-%20%5Calpha%20%2B%20m%5Cangle%20BCD%5C%5C%5Ctherefore%20m%5Cangle%20BCD%3D%5Calpha)
From
,
![m\angle BCD+m\angle CBD=90\\\alpha + m\angle CBD=90\\m\angle CBD=90- \alpha](https://tex.z-dn.net/?f=m%5Cangle%20BCD%2Bm%5Cangle%20CBD%3D90%5C%5C%5Calpha%20%2B%20m%5Cangle%20CBD%3D90%5C%5Cm%5Cangle%20CBD%3D90-%20%5Calpha)
Hence, all the angles of the triangles ΔCBD and ΔCAD are:
°
°
°
°
°
°
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180=w+x+y and 180=y+z so
w+x+y=z+y so subtract y from both sides
w+x=z