Answer: 7 1/30
Step-by-step explanation: convert to improper fractions then find lowest common denominator between them then add and simplify back to mixed fraction :)
The answer to this is 54. Hope this helps
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.

By substituting the measures of the given sides,

2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
Let me try . . .
When two lines intersect, they form four (4) angles, all at the same point.
There are two pairs of angles that DON't share a side, and a bunch of other
ones that do share sides. A pair of angles that DON't share a side are called
a pair of "vertical angles".
A pair of vertical angles are equal, but this problem isn't even asking you about
that; it's just asking you to find a pair of vertical angles.
Since you and I are not sitting together at the same table, I can't point to
the drawing and point out different angles to you. You just have to go
through the choices, and find a choice where both angles are formed from
the same two lines.
The first choice (KRE and ERT) is no good, because KR, RE, and RT
are parts of three different lines.
Check out the other 3 choices, and you're sure to find the only one where
both angles are formed by the same two lines.
Answer:
$75
Step-by-step explanation:
Joni currently earns $300 per week (given)
To find how much more she will earn each week, write an expression adding the original pay and the raise amount.
$300 + 25%
Find 25 as a decimal for multiplication
25% = 25/100 = 0.25
Write an expression to represent the scenario
Expression example 1:
$300 + 0.25(300)
This expression adds the original pay and the new raise together.
Expression example 2:
$300 (1.25)
This expression already takes the new pay into account by finding 125% of the original pay.
Simplify both expressions
Expression 1:
$300 + 0.25(300)
$300 + $75
$375
Expression 2:
$300 (1.25)
$375
Both expressions represent the same scenario and therefore come out to the same result. Now that we know how much Joni made after the raise, we need to find how much more money she will earn in a week with the following equation.
New amount - original amount = amount increase
Substitute known values into the equation
$375 - $300
Simplify
$75
Joni will earn $75 more each week.
Let me know if you have any questions!