Answer:
m∠ABC = 74
Step-by-step explanation:
The sum of the measures of three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °
So you subtract the given measurements of ∠BAC (76°) and ∠ ACB (19°) from 180. 180-76-19 = 74
The measurement of angle ABC is 74°
98^2 = (100-2)^2
Using (a-b)^2, we have
= (100)^2-2(100)(2)+(2)^2
= 10000-400+4
= 10004-400
= 9604
The answer is 9604.
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Answer: The answer would be 6.750
Step-by-step explanation:
Answer:P=-1
Step-by-step explanation:
1/2-1+9/4=7/4
<u><em>Answer:</em></u>
Part a .............> x = 11
Part b .............> k = 57.2
Part c .............> y = 9.2
<u><em>Explanation:</em></u>
The three problems deal with inverse variation between two variables
An inverse variation relation between two variables means that when one of the variables increases, the other will decrease (and vice versa)
<u>Mathematically, an inverse variation relation is represented as follows:</u>

where x and y are the two variables and k is the constant of variation
<u><em>Now, let's check the givens:</em></u>
<u>Part a:</u>
We are given that y = 3 and k = 33
<u>Substitute in the original relation and solve for x as follows:</u>

<u>Part b:</u>
We are given that y = 11 and x = 5.2
<u>Substitute in the original relation and solve for k as follows:</u>

<u>Part c:</u>
We are given that x=7.8 and k=72
<u>Substitute in the original relation and solve for y as follows:</u>
to the nearest tenth
Hope this helps :)