Answer:
x = 86
y = 67
z = 94
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180
38 + 56 + x = 180
94 + x = 180 subtract 94 from both sides
x = 86
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:
56 + 38 = 94
again the sum of interior angles in a triangle is equal to 180:
19 + z + y = 180 we found z as 94
19 + 94 + y = 180
113 + y = 180 subtract 113 from both sides
y = 67
5280 feet = 1 mile
31,680 feet = x miles
31,680/5,280 = 6
31,680 feet = 6 miles.
Your answer is A. 6.
Answer:
<h2>The answer is 87</h2>
Step-by-step explanation:
f(x) = x² + 14x - 5
To find the reminder when f(x) is divided by x - 5 , substitute the value of x into the above formula
That's
x - 5 = 0
x = 5
So we have
f(5) = 5² + 14(5) - 8
f(5) = 25 + 70 - 8
f(5) = 95 - 8
We have the final answer as
<h3>87</h3>
Hope this helps you
First you want to write 7x as a sum or difference: 15x-8x
Now, the expression would look like this: 10x^2+15x-8x-12
Next, factor out the 5x and -4 from the expression: 5x(2x+3)-4(2x+3)
Now, factor out the 2x+3 from the expression and you have your answer:
(2x+3)(5x-4)
Answer:
m∠CFD=![105\°](https://tex.z-dn.net/?f=105%5C%C2%B0)
Step-by-step explanation:
we know that
m∠CFD+m∠DFE=
------> by supplementary angles
we have
that
m∠DFE=m∠DEF=![75\°](https://tex.z-dn.net/?f=75%5C%C2%B0)
so
m∠CFD+![75\°=180\°](https://tex.z-dn.net/?f=75%5C%C2%B0%3D180%5C%C2%B0)
m∠CFD=![180\°-75\°=105\°](https://tex.z-dn.net/?f=180%5C%C2%B0-75%5C%C2%B0%3D105%5C%C2%B0)