X = 10

The triangles are similar by SAS, so we can set up a proportion of their sides.

9/(33-9) = 12/(3x+2)
9/24 = 12/3x+2

Reduce
3/8 = 12/3x+2

Cross multiply
3(3x+2) = 12*8

Distribute and multiply
9x + 6 = 96

Subtract 6
9x = 90

Divide by 9
x = 10

Check:
9/24 = 12/3x+2
9/24 = 12/3*10 + 2
9/24 = 12/30 + 2
9/24 = 12/32
3/8 = 3/8 :)

4 0

3 years ago

The table shows the cost of renting a sound system for a concert. Isabel rents a sound system at 1 p.m. and plans to return it b

leonid [27]

Answer:

Step-by-step explanation:

its 56 b

3 0

3 years ago

a wheel has diameter 84cm.During a journey the wheel make 800 complete revolutions. how many meter does it travel?

VMariaS [17]

Answer:

2110.08 meters

Step-by-step explanation:

find the circumference of the wheel

Divide 84 by 2 to find the radius.

84/2=42

C=2πr

C=2(3.14)(42)

C=263.76 cm

263.76*800=211008cm

Divide by 100 to convert to meters

211008/100=2110.08

2110.08 Meters

Hope this helps!

4 0

3 years ago

Annie and her friends are playing a game called doubles. In the game, a player rolls two dice at the same time. The outcome of e

KatRina [158]

There are 6 possible outcomes for die A and 6 possible outcomes for die B.
Each of the 6 outcomes of die A can be combined with each of the 6 outcomes of die B. Therefore the total number of possible outcomes for each roll is given by:
$6\times6=36$

3 0

4 years ago