X^2 - 25 is a difference of squares which has a special factorization.
In general, a^2 - b^2 = (a + b)(a - b)
x^2 - 25 = 0
(x + 5)(x - 5) = 0
x + 5 = 0 or x - 5 = 0
x = -5 or x = 5
We are given:
- Parallelogram CDEF
- ∠C = 13x - 10
- ∠D = 5x + 10
To Find: ∠E
Concept Used:
- Adjacent angles of a Parallelogram are Supplementary
Finding the value of 'x':
Since adjacent angles of a parallelogram are Supplementary:
∠D + ∠C = 180
5x + 10 + 13x - 10 = 180 [replacing the values of angle C and D]
18x = 180
x = 10 [dividing both sides by 18]
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Finding Measure of Angle D:
We are given that:
∠D = 5x + 10
∠D = 5(10) + 10 [since x = 10]
∠D = 60°
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Finding the measure of ∠E:
∠D and ∠E are Adjacent angles
Since Adjacent angles are Supplementary:
∠D + ∠E = 180
60 + ∠E = 180
∠E = 120° [subtracting 60 from both sides]
Hence, the measure of ∠E = 120°
Answer:
Angles RSQ and WVX are alternate interior angles.
Hope this helps!
Answer:
a=3x+b/4-x
Step-by-step explanation:
I dont know which variable you're supposed to solve for. But here's how i got the answer above:
Divide each term in a(4-x)=3x+b by 4-x
a(4-x)/4-x=3x/4-x+b/4-x
Then, cancel the common factor of 4-x, giving you
a=3x/4-x+b/4-x
Finally, combine the numerators over the common denominator,
giving you a=3x+b/4-x
Answer:
A, C, and D
Step-by-step explanation:
