Answer:
HL
Step-by-step explanation:
Use the HL Congruence Theorem to prove that the triangles are congruent.
Answer:
x = 3.5
Step-by-step explanation:
Triangle to the right:
4^2 + x^2 = 8^2
16 + x^2 = 64
y^2 = 48
Triangle to the left:
x^2 + 6^2 = 48
x^2 + 36 = 48
x^2 = 12
x = sqrt(12)
x = 3.5
Answer:
B, C, D
Step-by-step explanation:
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Step-by-step explanation:
Firstly, notice that this shape is composed of ³/₄ of a circle and ¹/₂ of a square;
The lower left part is the ¹/₂ square, with only 2 sides (a left and lower side) of length 3 units;
The perimeter of this part of the shape is simply the sum of the two sides:
3 + 3 = 6
The remaining part is the ³/₄ circle, which has a radius of 3 units;
The circumference of a circle is found by the formula:
πd
d = diameter = 2 × radius
We only have ³/₄ of the circle, however, so we only have ³/₄ the circumference:
³/₄ × π(2(3)) = ³/₄ × 6π
= ⁹/₂π (or, equally, 4.5π)
So the total perimeter is the sum of the perimeter of the ¹/₂ square and the ³/₄ circle:
4.5π + 6
Answer:
.5357
Step-by-step explanation:
Follow PEMDAS
Multiplication (M) comes before division (D)
Therefore, solve the multiplication expressions first:
2 * 3 * 5 = 30
and
7 * 8 = 56
Now Division:
30 / 56 = .5357