Solve for x and then find the measure of
2 answers:
Answer:
<h2>150°</h2>Step-by-step explanation:
<A and <B are alternate interior angles.
So, <A = <B
plugging the values
Move variable to L.H.S and change it's sign.
Similarly, Move constant to R.H.S and change it's sign
Collect like terms
Calculate the sum
Divide both sides of the equation by 5
Calculate
Now, Let's find the measure of <B
Plugging the value of X
Calculate the product
Calculate the sum
Hope this helps...
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Answer:
B) 40 ft
Step-by-step explanation:
Use the picture for a reference.
1. We can see the diagonal forms a triangle. Since the angles of a rectangle are right, we can use the Pythagorean Theorem to solve for x.
2. The Pythagorean Theorem
a^2 (a squared) + b^2 (b squared) = c^2 (c squared)
a = 30 ft (width)
b = x ft (unknown length)
c = 50 ft (diagonal)
3. Substitute in the values:
30^2 + x^2 = 50^2
900 + x^2 = 2500
x^2 = 1600
x = 40
The length of the field is 40 ft.
