Answer:
∠4 = 75°
Step-by-step explanation:
Alternate interior angles are equal.
∠6 and ∠4 are alternate interior angles.
∠6 = ∠4 = 75°
Answer:Yes they are equivalent.
Step-by-step explanation:
3/4a + 8 - 1/4a - 2 1/2(a + 12)
Combine like terms Distributive property
2/4a+6 1/2a+6
2/4=1/2 (simplify)
1/2+6=1/2+6
Answer:
1/4
Step-by-step explanation:
It is split into 8 equal parts, if you want to see how likely you're going to get red, look at how many red parts there are. 2. Now make it into a fraction! 2/8, but we need it to be simplified so it is 1/4.
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Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
Answer:
Each side is 35.78 mm
Step-by-step explanation:
A square would have 4 equal sides. Since area of a square is x^2, where x is one side, we can write:
x^2 = 1280
x = 35.78 mm
Each side is 35.78 mm
