Answer:
46. ΔQRP ≅ ΔUTV
47. y = 42
48. ∠KMN = 101°
Step-by-step explanation:
46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.
47. From the sum of angles of a triangle, you know that ...
x +62 +65 = 180
x = 180 -127 = 53
x - y = 11 since the corresponding sides are the same length
53 - y = 11 . . . . . .substitute the value of x
y = 53 - 11 . . . . . . add y-11
y = 42
48. The exterior angle has the same measure as the sum of the opposite interior angles:
81 +4x = 13x +36
45 = 9x . . . . . . . . . add -4x-36
5 = x . . . . . . . . . . . divide by 9
∠KMN = (13x +36)° = (13·5 +36)° = 101°
-x² - x + 6
First thing I would do is distribute out that negative. Your new problem is:
- (x² + x - 6)
Now, factor the inside. We need to find products of - 6 that when added together have a sum of positive 1. They are 3 and - 2.
- (x² + 3x - 2x - 6)
Group together and find your factors. I'm going to short cut and go right to them for the sake of space and time.
- (x + 3)(x - 2)
Your answer is Option B
Answer :
★<u>Range</u> : Range is the difference of the largest value and the lowest value given in graph in STATICS.
<u>More</u> <u>information</u> :
The formula to find RANGE is :
Range = Maximum value — Minimum value
What is the use of Range :
Range gives us the idea(rough) of the outcome.
<h3>Example
:</h3>
Given :
(3,5,12,67,87,13)
Here we can see that the largest value is 87
And the lowest value is 3
Thus,the Range here is ,
= 87 — 3
= 84
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Answer:
13
Step-by-step explanation: