Two polygons are congruent<span> if they are the same size and shape - that is, if their corresponding angles and sides are equal. Move your mouse cursor over the parts of each figure on the left to see the corresponding parts of the </span>congruent<span> figure on the right.</span>
Answer:
180
Step-by-step explanation:
the missing angle is 90 because anges in tri add to 180
xo that means that x=90(2)=180
Answer:
Step-by-step explanation:
The null and the alternative hypothesis are:
The test statistics is as follows:
t = 2.3094
The critical value
Decision rule:
To reject if t > .
So since t > . we reject at ∝ = 0.05
Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.
Answer:
1476 cm²
Step-by-step explanation:
I like to use the formula ...
SA = 2(LW +H(L +W))
= 2((12 cm)(9 cm) + (30 cm)(12 cm +9 cm))
= 2(108 cm² +(30 cm)(21 cm))
= 2(108 cm² +630 cm²) = 2(738 cm²)
total surface area = 1476 cm²
_____
"Lateral surface area" usually refers to the area that is not part of the base(s). For a rectangular prism, it would be the product of the height and the perimeter of the base. You have not designated a base, so we cannot tell if you really want just the lateral surface area or the whole surface area. The above computation figures the whole surface area.
Answer:
373248cm³
Step-by-step explanation:
first we need to find the value of the side length by plugging in the value of y and x
side length = 8x²y + y³
x = 1/2 and y = 4 ( plug in these values )
side length = 8(1/2)²4 + (4)³
we can evaluate using pemdas
p - parenthesis
e - exponents
md - multiplication and division ( left to right )
as - addition and subtraction ( left to right )
first we evaluate anything in the parenthesis if needed. its not needed though because there is no operations in the parenthesis
Then we evaluate exponents
side length = 8(1/2)²4 + (4)³
there are 2 so we evaluate them
(1/2)² = 1/4 and 4³ = 64
side length = 8(1/4)4 + 64
next we do the multiplication and division going left to right
8 * 1/4 = 2
(2)(4) + 64
2 * 4 = 8
side length = 8 + 64
finally the addition
side length = 72
No we want to find the volume of the cube
We can find the volume of a cube by simply cubing the side length
The cube has a side length of 72cm
so the volume is equal to 72³ = 373248cm³