Two integers with polar signs can have the same absolute
value.
Absolute value measures the displacement of a number from 0 disregarding
the direction.
Examples are:
<span>1.-8 and +8,
their absolute values is |8| = 8</span>
<span>
2.+ 5 and -5
= |5| = 5</span>
<span>
3.1 + 2
absolute value is 3</span>
<span>
4.-10 + 2 = usually
the answer is -8 but its absolute value is 8</span>
<span>
5.Same with
-6 = |6| = 6</span>
Answer:
A and D
Step-by-step explanation:
Answer:
(Choice A)
-4(3e + 4)
Step-by-step explanation:
This is the only answer that makes sense:
-7 - 12e - 9 [Distribute the 3 amongst all the other terms in parentheses]
Then you combine like-terms:
-16 - 12e
Finally, you factor out the Greatest Common Factor [GCF]:
-4[4 + 3e]
12e is NOT an option, so you are left with (Choice A).
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Answers:
- Angle A = 76
- Angle B = 37
- Angle C = 67
Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
Answer:
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