Answer:
x=−7,1
Step-by-step explanation:
1 Subtract 33 from both sides.
-5|x+3|=-17-3−5∣x+3∣=−17−3
2 Simplify -17-3−17−3 to -20−20.
-5|x+3|=-20−5∣x+3∣=−20
3 Divide both sides by -5−5.
|x+3|=\frac{-20}{-5}∣x+3∣=
−5
−20
4 Two negatives make a positive.
|x+3|=\frac{20}{5}∣x+3∣=
5
20
5 Simplify \frac{20}{5}
5
20
to 44.
|x+3|=4∣x+3∣=4
6 Break down the problem into these 2 equations.
x+3=4x+3=4
-(x+3)=4−(x+3)=4
7 Solve the 1st equation: x+3=4x+3=4.
x=1x=1
8 Solve the 2nd equation: -(x+3)=4−(x+3)=4.
x=-7x=−7
9 Collect all solutions.
x=-7,1x=−7,1
Answer: D Step-by-step explanation:
Answer:
Radius is half the diameter of a circle
Step-by-step explanation:
If the diameter was 6, then the radius is 3
Answer:
d. AAS
Step-by-step explanation:
These triangles can be proven congruent through AAS, or angle, angle, side. This means that two angles and one nonincluded side are congruent. Two sides are marked as congruent through a tick mark, and one angle pair is marked by one arc on each angle. We also know that the middle angles, that are connected, are congruent because they are vertical angles. Therefore, they are congruent, which can be proven by AAS.