Given
gas prices are now $3.75 and it up 10% from 6 months ago.
Find out how much were gas prices 6 months ago.
To proof
gas prices now = $3.75
let the gas price 6 month ago = x
gas price now is rise up 10% from 6 months ago
First write 10% in simpler form
= 0.1
Now the equation becomes
0.1x + x = 3.75
1.1x = 3.75
x = 3.41 (approx)
Thus gas prices 6 months ago be $ 3.41 (approx )
Hence proved
Answer: Choice A
The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.
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Explanation:
Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.
It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.
Going back to the triangles, we know that the sides are congruent by the tickmarks
- side MN = side RS (single tickmark)
- side NP = side ST (double tickmarks)
- side MP = side RT (triple tickmarks)
That takes care of the first part of choice A.
And similarly, the angle markers tell us which angles are congruent
- angle M = angle R (single arc)
- angle N = angle S (90 degree angle marker)
- angle P = angle T (double arc)
That concludes the second part of choice A.
Answer: 2w + 4 = 35
Step-by-step explanation:
Carl's two checked bags and his one backpack together weigh 35kg.
Carl's two checked bags have equal weight so both their weight can be denoted as 2w.
Equation is;
2w + 4 = 35
If you were to solve;
2w + 4 = 35
2w = 35 - 4
w = 31/2
w = 15.5kg
Answer:
Step-by-step explanation:
1) Least common denominator of 4 and 2 is 4
To eliminate the fraction, each term should be multiplied by 4
ANS:option c
2) Mercury level of water 'y' years = Initial measure +rate of increase 'y' years
0.05 +0.1y = 0.12+0.06y
Ans : Option c
3) 4b +6 = 2 - b + 4
Add 'b' to both sides
4b + b + 6 = 2 + 4
5b + 6 = 6
Subtract 6 from both sides
5b = 6 - 6
5b = 0
b = 0
Ans : Option b
4) Maximum decimal places in this equation is 2. So, to eliminate decimal places, The equation should be multiplied by 100
Ans: option d
5) y +6 = -3y + 26
Add 3y to both the sides
y + 6 + 3y = 26
y + 3y + 6 = 26
4y + 6 = 26
Subtract 6 from both sides
4y = 26-6
4y = 20
Divide bothe sides by 4
y = 20/4
y = 5
Ans: option c
6) '2x' is subtracted from both side of the equation.
Ans: option a - subtraction property of equality
ANSWER
(I multiplied by 12 on both sides to get a whole number)
