Answer:
I believe the answer is a.
Step-by-step explanation:
Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.
Since they do not have all 3 congruent angles, they are not similar.
Answer:
First, multiply the 5 by each of the terms inside the parentheses. Next, simplify each part of the expression and then add. The answer is 5(2+3)=25. The distributive property also works if there is subtraction inside the parentheses
Step-by-step explanation:
ANSWER:
x = 10 / 3
y = 0
STEP-BY-STEP EXPLANATION:
We will be using simultaneous equations to solve this problem. Let's first establish the two equations which we will be using.
Equation No. 1 -
- 6x - 14y = - 20
Equation No. 2 -
- 3x - 7y = - 10
First, we will make ( x ) the subject in the first equation and simplify accordingly.
Equation No. 1 -
- 6x - 14y = - 20
- 6x = - 20 + 14y
x = ( - 20 + 14y ) / - 6
x = ( - 10 + 7y ) / - 3
From this, we will make ( y ) the subject in the second equation and substitute the value of ( x ) from the first equation into the second equation to solve for ( y ) accordingly.
Equation No. 2 -
- 3x - 7y = - 10
- 7y = - 10 + 3x
- 7y = - 10 + 3 [ ( - 10 + 7y ) / - 3 ]
- 7y = - 10 + [ ( - 30 + 21y ) / - 3 ]
- 7y = - 10 + ( 10 - 7y )
- 7y = - 7y
- 7y + 7y = 0
0y = 0
y = 0
Using this, we will substitute the value of ( y ) from the second equation into the first equation to solve for ( x ) accordingly.
x = ( - 10 + 7y ) / - 3
x = [ - 10 + 7 ( 0 ) ] / - 3
x = [ - 10 + 0 ] / - 3
x = - 10 / - 3
x = 10 / 3
2. unit price = $ ÷ oz
<span>a) 64 fl oz for $2 = 2/64 ≈ $0.031 per ounce </span>
<span>b) 256 fl oz for $7.5 = 7.5/256 = $0.029 per ounce </span>
<span>c) buy wholesale because 0.029 < 0.031 </span>
<span>3. unit rate means 1 for the miles </span>
<span>3/10 in ÷ 7/8 mi </span>
<span>= 12/35 inches per mile ...</span>
