Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer: She attempted 50 baskets.
Step-by-step explanation:
44 / 88% = 50
Therefore, she attempted 50 baskets, as 44 is 88% of 50.
Answer:
Sum of real parts: 12
Sum of imaginary parts: 3
Step-by-step explanation:
(22 − 5i) + (−10 + 8i)
Combine the real and imaginary parts in numbers 22 − 5i and −10 + 8i
22 − 10 + (−5 + 8)i
Add 22 to −10. Add −5 to 8
12 + 3i
So, the answer is:
Sum of real parts: 12
Sum of imaginary parts: 3i
The real part is 12, the imaginary part is 3
Ok first convert 5 1/2 to an improper fraction. a quick way to do this is to multiply the denominator (2) by the whole number part (5) and add it to the numerator (1) to get the improper fraction's numerator. The denominator will stay the same.
The Area of a Square is the square of the measure of one side of the square.
Hence, given the expression for the area of a square, express the given area as the square of an expression to get the measure of one side.
The given expression is:
Rewrite the expression as:
Recall the binomial expansion:
Substituting a=10x and b=8, it follows that the expression becomes:
Since the area of a square is the square of the measure of one side, it follows that the measure of one side from the given expression is 10x-8.