Given:
The expression is

To find:
The expression which is equivalent to the given expression.
Solution:
We have,

We know that,

Using this formula, the given expression can be written as



Therefore, the given expression is equivalent to 1.
Height: width
4:3 = 24:x
x = 18
The frame will be 18 inches wide.
Answer:
1. 0.2222222
2. .6667
Step-by-step explanation:
for question 1
there can only be 36 outcomes so you find out how many time you could get 7and2 which is 8 from so u write 8.36=.2222
for question 2
divide the outcome by the total out comes example(there are 6 red balls and 4 white out of 15 so you do 10/15=.6667)
Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.