Answer: 18.24 cm^2
Step-by-step explanation:
the two 135 degree angles indicate that the third angle (the one with the shaded region) is 90 degrees, which means that the shaded region is within 1/4 of the circle.
1. In order to find the area for that 1/4 region, you would have to find the area of the circle and divide it by 12
[r^2(3.14)]/4 pi is substituted by 3.14, and the radius is 8.
50.24 is the area of 1/4 of the circle.
2. Next you'd have to find the area of the triangle formed by the shaded region, and subtract the triangle from the area of the 1/4 circle.
the triangle is an isoceles triangle with two sides each valuing at 8cm, so to find the area of the triangle you would multiply the two sides (or square them since they're the same number) and divide by two
this means the triangle is 32 cm^2
3. we can subtract the 1/4 circle (50.24) by the area of the triangle (32) to get the area of the shaded region, which is <u>18.24 cm^2</u>
Answer:
Least to greatest is: 0.0625, 6.75% and 
.
Step-by-step explanation:
Given:
The three quantities to compare are:
6.75%, 0.0625, and
Let us convert each into percentage.
6.75% is already in percentage.
We multiply a number by 100 to convert it to percentage form.
So, 
Now, on comparing all the three percentage, we conclude that,
70% is the greatest and 6.25% is the least.
So, order from least to greatest is:
Answer:
Step-by-step explanation: letter B is the right answer
Answer:
9) JK = 24.5
10) LM = 24.5
11) m∡L = 51°
12) m∡M = 129°
Step-by-step explanation:
in a parallelogram, adjacent angles are supplementary (add to 180 degrees) and are also congruent
so, ∡K = ∡M and ∡J = ∡L
since ∡'s L and M are adjacent we can add them and set them equal to 180
5z - 6 + 2z - 3 = 180
7z - 9 = 180
7z = 189
z = 27
therefore, m∡M = 5(27)-6 = 129 and m∡L = 180-129, or 51
Also in a parallelogram, opposite sides are equal; so KJ = LM and KL = JM
7x = 3x + 14
subtract 3x from each side to get:
4x = 14
x = 14/4 = 3.5
to find measure of JK, substitute 3.5 for 'x' to get (3.5)(7) = 24.5
to find measure of LM, substitute 3.5 for 'x' to get (3.5)(3)+14 = 24.5
