Answer:
x = 10
Step-by-step explanation:
2) -3x + 17 = -x - 3
4) 20 = 2x
1) -3x + 12 + 5 = -x -3
5) 10 = x
3) 17 = 2x - 3
<u>-3(x - 4) + 5 = -x - 3</u>
<u>-3x + 12 + 5 = -x - 3</u>
<u>-3x + 17 = -x -3</u>
<em>+3x +3x</em>
<u>17 = 2x - 3</u>
<em>+3 + 3</em>
<u>20 = 2x</u>
<u>10 = x</u>
<u />
I hope that this helps! :)
Answer:
5,120 cm³
Step-by-step explanation:
Volume = Base area × height
Base area = 160 cm²
Height = 32 cm
Vol. = 160 × 32
= 5,120 cm³
Answer:
The geometric mean of the measures of the line segments AD and DC is 60/13
Step-by-step explanation:
Geometric mean: BD² = AD×DC
BD = √(AD×DC)
hypotenuse/leg = leg/part
ΔADB: AC/12 = 12/AD
AC×AD = 12×12 = 144
AD = 144/AC
ΔBDC: AC/5 = 5/DC
AC×DC = 5×5 = 25
DC = 25/AC
BD = √[(144/AC)(25/AC)]
BD = (12×5)/AC
BD= 60/AC
Apply Pythagoras theorem in ΔABC
AC² = 12² + 5²
AC² = 144+ 25 = 169
AC = √169 = 13
BD = 60/13
The geometric mean of the measures of the line segments AD and DC is BD = 60/13
Answer:
It is an enlargement because k=3 is larger than 1. Anything that equals less than one (ex. k=0.25) would be a reduction.
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
difference=8-5=3
if difference is 3 Cole bends=5 times
if difference is 33 Cole bends=(5/3)×33=55 times
