Angles in a triangle always add up to 180 degrees
Here, we add up all the angles given to equal it to 180 degrees:
X + X + 10 + X + 5 = 180
Collect like terms -> 3X + 10 + 5 = 180
Add the whole numbers -> 3X + 15 = 180
Take 15 from to the other side (then make it negative) to isolate the X:
3X = 180 - 15
The subtract -> 3X = 165
Take 3 over to the other side (and it it should divide 165) and isolate the X -> X = 165/3
Finally, X = 55
Now wherever you see X in the triangle, replace it with 55.
With that, the top angle = 55 + 10 = 65 degrees
The bottom left angle = 55 + 5 = 60 degrees
The bottom right angle = 55 degrees
Answer:
x = 2 or x = -2
Step-by-step explanation:
7x^2 - 28 = 0
7x^2 = 28
x^2 = 28/7 = 4
x = root(4) or x = -root(4)
x = 2 or x = -2
Short Answer: A
Remark
C
Let's start with the false choices.
If they were colinear, then if AB + BC would = 5 or 1 depending on the location of C. Answer C is not correct.
B
a b and c do not form a right triangle. a^2 + b^2 ≠ c^2
2^2 + 3^2 = 13 not 16 (which is what c^2 or 4^2 = )
D
D is false. Equilateral triangles have 3 equal sides.
A is true. Since A and C are opposites and you have eliminated C by arguing A. Then A must be the answer.
<span>Answer:
Margin of Error (half of confidence interval) = 10
The margin of error is defined as the "radius" (or half the width) of a confidence interval for a particular statistic.
Level of Confidence = 95
Ď: population standard deviation = 40
('z critical value') from Look-up Table for 95% = 1.96
The Look-up in the Table for the Standard Normal Distribution utilizes the Table's cummulative 'area' feature. The Table shows positve and negative values of ('z critical') but since the Standard Normal Distribution is symmetric, only the magnitude of ('z critical') is important.</span>
No
They are not equivalent.