Answer:
a = 125°
b = 55°
c = 55°
d = 55°
e = 125°
f = 55°
Step-by-step explanation:
See the attached diagram.
The angles (x + 75)° and (2x + 25)° are the alternate angles and they are equal.
So, x + 75 = 2x + 25
⇒ x = 50
Hence, (x + 75)° = (50 + 75)° = 125°.
Now, from the given diagram it is clear that
a = (x + 75)° = (2x + 25)° = e = 125°
And, b = c = d = f = 55°
This is because, a and b are supplementary angles and their sum will be 180°.
So, a + b = 180°
⇒ 125° + b = 180°
⇒ b = 55°
So, b = c = d = f = 55° (Answer)
The answer will 1 4/6 or (10/6) yards of wallpaper
Answer:
270
Step-by-step explanation:
Note that 1/10 is equal to 0.1
Multiply 2700 with 0.1
2700 x 0.1 = 270
270 is your answer.
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Answer:
8
Step-by-step explanation:
Answer:
Yes, it will reach or exceed 141 degree F
Step-by-step explanation:
Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

Suppose T = 141°F,



Since, a quadratic equation
has,
Real roots,
If Discriminant, 
Imaginary roots,
If D < 0,
Since, 
Thus, roots of -0.005x² + 0.45x + 125 are real.
Hence, the temperature can reach or exceed 141 degree F.