Answer:
A: 24 > 16 B: -22 < -6 C: 21 > -18 D: -25 < 5 Does not change!
Step-by-step explanation:
Your welcome ladies and Gentlemen!
Answer: We have c = 3 and d = -2
Step-by-step explanation:
We want to solve the equation:
6200.07 = 6.2x10^c + 7x10^d
First, we can separate the left number into two pieces:
6200.07 = 6200 + 0.07 = 6.2x10^c + 7x10^d
Now we can solve it as:
6200 = 6.2x10^c
6200/6.2 = 10^c
1000 = 10^c
now we can use that if y = a^x, then ln(y)/ln(a) = x
here we have:
c = ln(1000)/ln(10) = 3
and
0.07 = 7x10^d
0.07/7 = 10^d
0.01 = 10^d
d = ln(0.01)/ln(10) = -2
Based on the triangle sum theorem and the triangle inequality theorem:
1. B. 23°, 67°, 90°.
2. A. 1 cm, 2 cm, 3 cm.
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all three interior angles of any triangle has a sum of 180 degrees.
What is the Triangle Inequality Theorem?
Based on the triangle inequality theorem, one side of a triangle must be less than or equals the sum of any other two sides of the triangle. (a + b ≥ c).
Part 1:
23° + 67° + 90° = 180°, therefore, based on the triangle sum theorem, the set of angle measures that could be the interior angles of a triangle is: B. 23°, 67°, 90°.
Part 2:
1 + 2 = 3
1 + 3 > 2
2 + 3 > 1
Therefore, based on the triangle inequality theorem, the set of side lengths that could be that of the sides of a triangle is: A. 1 cm, 2 cm, 3 cm.
Learn more about the triangle sum theorem on:
brainly.com/question/7696843
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Answer:
268.1
Step-by-step explanation:
5+x+(−2)=−8
Simplify
5 + x - 2 = -8
x + 3 = -8
Subtract 3 to both sides
x + 3 - 3 = -8 +3
Simplify
x = -5
