Hello there I hope you are having a great day :)
Your Question, -4(2x + 4) > 8x + 64 Solve for X
1) Expand -8x-16>8x+64
2) Add 16 to both sides -8x-16+16>8x+64+16
3) Simplify -8x>8x+80
4) Subtract 8x from both sides -8x-8x>8x+80-8x
5) Simplify -16x>80
6) Multiply both sides -1 (Reverse the inequality) (-16x) (-1) >80 (-1)
7) Simplify 16x<-80
8) divide both sides by 16 16x/16 < -80/16
9) Simplify x < -5
This should be your answer x < -5
Hopefully that helps you :)
Answer: 2,673
Step-by-step explanation:
450% × 594 =
(450 ÷ 100) × 594 =
(450 × 594) ÷ 100 =
267,300 ÷ 100 =
Answer:
<u>Triangle ABC and triangle MNO</u> are congruent. A <u>Rotation</u> is a single rigid transformation that maps the two congruent triangles.
Step-by-step explanation:
ΔABC has vertices at A(12, 8), B(4,8), and C(4, 14).
- length of AB = √[(12-4)² + (8-8)²] = 8
- length of AC = √[(12-4)² + (8-14)²] = 10
- length of CB = √[(4-4)² + (8-14)²] = 6
ΔMNO has vertices at M(4, 16), N(4,8), and O(-2,8).
- length of MN = √[(4-4)² + (16-8)²] = 8
- length of MO = √[(4+2)² + (16-8)²] = 10
- length of NO = √[(4+2)² + (8-8)²] = 6
Therefore:
and ΔABC ≅ ΔMNO by SSS postulate.
In the picture attached, both triangles are shown. It can be seen that counterclockwise rotation of ΔABC around vertex B would map ΔABC into the ΔMNO.