Answer:
10
Step-by-step explanation:
Given expression:
20 - 
To solve this problem, we use the order of operation:
P - Parentheses
E - exponents
M - multiplication
D - division
A - Addition
S - Subtraction
Now solve the parentheses first;
= 20 - 
= 20 - 
Now solve the exponents:
= 20 - 
Now solve the division:
= 20 - 
= 20 - 10
= 10
In a trapezoid, the midline is the average of the two bases.
PW = (YZ + TM) / 2
29 = (23 + 11x + 2) / 2
58 = 23 + 11x + 2
58 = 25 + 11x
11x = 33
x = 3
Hope this helps!
Answer:
c
Step-by-step explanation:
If the dot product of the vectors is zero then they are perpendicular
(5, - 1) • (- 3, 6)
= (5 × - 3) + (- 1 × 6) = - 15 + (- 6) = - 15 - 6 = - 21 ≠ 0
Since product is not zero vectors are not perpendicular
Answer:
The number of multiple-choice questions are 15.
Step-by-step explanation:
Mrs. Snell's math test has twenty questions and is worth 100 points.
The test consists of multiple-choice questions and short answer questions.
Let M represents the Multiple choice questions.
Let S represents the short answer question.
It is given that the total number of question are 20.
...(1)
Also, multiple-choice questions worth 3 points each, and short answer questions worth 11 points each. The total worth of the test is 100 points.
...(2)
Multiply equation (1) by 3 and subtract from equation (2).

The total number of short answers is 5.
Put S=5 in equation 1.

Hence, the number of multiple-choice questions are 15.