Answer:
b option im not sure but
Step-by-step explanation:
Answer:
86
Step-by-step explanation:
Firstly,
Average = Sum/Number of Numbers
Since 7 grades' average is 77, so we can say:
77 = Sum/7
Hence, Sum = 77 * 7 = 539
Now,
81 - 18 = 63 [63 marks were recorded incorrectly. actual sum would be 63 more]
So,
Actual Sum should be 539 + 63 = 602
Actual Average = 602 / 7 = 86
Hence, actual report card average would be 86
Answer:
A)
B) Angle relationship used to find was alternate interior angles of a traversal between two parallel lines
Step-by-step explanation:
Given :
To find measure of .
Part A
From the figure we can say:
[Alternate interior angles are congruent]
∴ [By substitution ∵ ]
For Δ PQR
[Sum of two interior angles of a triangle is equal to the opposite exterior angle]
[By subtraction property of equality]
[By substitution ∵
Part B:
We used the angle relationship of alternate interior angles of traversal between two parallel lines to find measure one angle of the Δ PQR which in turn helped us to find the measure of other angle of triangle which is as the two angles found are opposite to the exterior angle that is =120°
Relation used:
[Alternate interior angles are congruent]
[By substitution ∵ ]
Answer:
4
Step-by-step explanation:
Put 2 where x is and do the arithmetic.
f(2) = 10 -3∙2 = 10 -6
f(2) = 4
Answer:
B.{5}
Step-by-step explanation:
2-8x-42=0
(÷2), we get,
1-4x-21=0
-4x-20=0
-4x=20
x=20÷(-4)
x=(-5)
since the question asks for a positive set, the answer is [x=5]