The mother is older than her daughter by 
years
Step-by-step explanation:
Mother is m years old, and she is four times as old as her daughter.
we need to find how much older the mother is than her daughter
- Put the age of mother equal 4 times the age of daughter
- Find the age of daughter
- Subtract the age of daughter from the age of mother to find how much older the mother than her daughter
∵ The mother's age = m
∵ Her age is four times as old as her daughter
∴ m = 4 × daughter's age
- Divide both sides by 4
∴ 
= daughter's age
- Subtract the daughter's age from her mother's age
∵ The difference of their ages = m -
- Change 1 m to a fraction of denominator 4, then 1 m = 
∴ The difference between their ages = - =
∴ The mother is older than her daughter by years
The mother is older than her daughter by years
Learn more:
You can learn more about the fractions in brainly.com/question/1648978
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Answer: (x, y) = (-x, -y)
Step-by-step explanation:
To solve this, you can match the coordinates of points on the triangles and choose the correct answer from there.
The highest point on the triangle, S, has coordinates of (3, 5).
The reflected triangle's point S has coordinates of (-3, -5).
Point Q on the triangle has coordinates of (1, 0)
Point Q on the reflected triangle has coordinates of (-1, 0).
Matching these two points and their reflections to the answers, the only answer that fulfills both points correctly is (x, y) = (-x, -y).
Step-by-step explanation:
Here
5x+16+7x-3+6x+5 = 180(being sum of triangle)
or, 18x=180-18
or, x= 162/18
so, x = 9
now,
here,
<ACD = <ACB(diagonals of parallelogram bisect eachother)
or, <ACD = 7x-3
or, <ACD = 7×9-3
or, <ACD = 63-3
So, <ACD = 60°
Answer:b
Step-by-step explanation:it equals out to 180°
Hi there!
Reflections across the line y = -x always go by the rule (-y, -x). We can use this rule to get our answer here. We are given the aftermath of the reflection coordinates, which are <span>A'(-1, 1), B'(-2, -1), and C'(-1, 0). All we have to do now is switch up the coordinate values and multiply them by -1. Here is the work -
A'(-1, 1) => (1, -1) => x -1 => A(-1, 1)
B'(-2, -1) => (-1, -2) => x -1 => B(1, 2)
C'(-1, 0) => (0, -1) => x -1 => C(0, 1)
Therefore, the coordinates of Triangle ABC are A(-1, 1); B(1, 2); C(0,1). Hope this helped and have a phenomenal day!</span>
