Answer:
the answer is B
Step-by-step explanation:
For this problem, we are given a parallelogram with a diagonal drawn, inside it there are markings for a few angles. We need to determine the unknown angles.
Opposite sides of a parallelogram are parallel, this means we can treat the diagonal as a transversal line that crosses two parallel lines. Since this is the case, the angles 33º and xº are alternate interior angles and have the same length:
The opposite angles in a parallelogram are congruent, therefore:
The sum of internal angles is 360º, therefore we have:
The value of x is 33º, the value of y is 38º and the value of z is 109º.
Answer:
Step-by-step explanation:
1. This paragraph describes an observational study.
It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.
2. The students who took Latin are the treatment group.
3. The fact that students decided on their own to take Latin is a confounding factor.
4. The students who did not take Latin are the placebo or control group.
The lateral area of the cube is 36 sq units
<u>Explanation:</u>
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Given:
Perimeter of the base of the cube = 12 units
Base of the cube has 4 sides
So, the perimeter of the base = 4a
where,
a is the length of one side
Thus,
4a = 12 units
a = 3 units
Lateral surface area of the cube = 4a²
A = 4 X (3)²
A = 36 sq units
Therefore, the lateral area of the cube is 36 sq units
C 5z+11-4p.
5(z+3)-4(1+p)
5z+15-4-4p
5z+11-4p
