Answer:
35 quizzes
Step-by-step explanation:
We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.
We do this by using the formula 
which describes the number of ways we can choose 
objects given 
possible choices. So, if 
and 
, then:
Hence, the teacher can make 35 different geometry quizzes.
Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
Answer:
i. Two angles can be vertical and supplementary.
ii. Yes, we can determine the angles.
Step-by-step explanation:
When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to 180 degrees .
It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is 90 degrees .
This answer is right. Please mark Brainliest!
Answer:
D
Step-by-step explanation:
−6−(−5)
=−6−(−5)
=−6+5
=−1
Answer: 17 1/16
seventeen and one sixteenth
Step-by-step explanation:
Substitute x=2 and y=5 into equation
1/2x^3 + 3.4y
= 1/2(2)^3 + 3.4(5)
Solve in the order of BEDMAS (brackets, exponents, division, multiplication, addition, subtraction)
= 1/2(8) + 3.4(5)
= 1/16 + 3.4(5)
= 1/16 + 17
= 17 1/16
