Rhombus RSTU is congruent to WXYZ, and are translational images of each other because all their sides and angles are equal
<h3>What are the properties of a rhombus?</h3>
Some of the properties of a rhombus are;
- All the opposite sides are parallel to each other.
- Diagonals bisect each other perpendicularly.
- The angles are supplementary, that is, they add up to 180°
If Rhombus RSTU is congruent to WXYZ, then they are both translation images of each other because all their sides and angles are equal.
Learn more about a rhombus here:
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Fruit : yoghurt : total
2 : 3 : 2 + 3
2 : 3 : 5
5 parts = 185
1 part = 185 ÷ 5 = 37
3 parts = 37 x 3 = 111g
The mass of the yoghurt is 111g
Answer:Multiply all outputs by –1 for a vertical reflection. The new graph is a reflection of the original graph about the x-axis.
Multiply all inputs by –1 for a horizontal reflection.
Step-by-step explanation:
3x + 1 = y
2x + 3y = 14
To solve this system of equations, we are going to use the substitution method. Substitution the equation where the variable is isolated into the second equation. In this system of equations, y is isolated, so we will replace y in the second equation with 3x + 1.
2x + 3y = 14
2x + 3(3x + 1) = 14
2x + 9x + 3 = 14
We will add the like terms and subtract 3 from both sides of the equation.
11x + 3 = 14
11x = 11
x = 1
In this system of equations, x is equal to 1. Now we will go back and solve for y, plugging in 1 for x.
3(1) + 1 = y
2(1) + 3y = 14
3 + 1 = y
2 + 3y = 14
4 = y
3y = 2
4 = y
4 = y
The solution to this system of equations is (1, 4).
Answer:
k = 100/9
Step-by-step explanation:
In this question, we will be solving for "k".
Solve:
9/10 = 10/k
Cross multiply.
(9 · k) = (10 · 10)
9k = 100
Divide both sides by 9
k = 100/9
Your answer would be k = 100/9
