Answer:
<em>Addition Property of Equality</em>
Step-by-step explanation:
<u>System of Equations</u>
When two equations are given and two variables are unknown in both equations, then we can solve the system in several ways.
One method consists in adding both equations term by term and eliminate one of the variables. That property is called the addition of equalities. Let's consider the equations given in the problem:
If we add both equations, we have
Simplifying
By adding both equations we managed to eliminate the variable y and could easily find the value of x
Answer: Addition Property of Equality
The true statements about the triangles RST and DEF are: (a), (d) and (e)
<h3>How to determine the true statements?</h3>
The statement ΔRST ≅ ΔDEF means that the triangles RST and DEF are congruent.
This above implies that:
- The triangles can be mapped onto each other by rigid transformations such as reflection, translation and rotation
- The transformation does not include dilation
- Corresponding sides are congruent
The above means that the possible true statements are: (a), (d) and (e)
Read more about transformation at:
brainly.com/question/4289712
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Answer: ✨So I divided. 120 by 15 and got 8. I then multiplied it by 20 and got 160 bouquets✨
Step-by-step explanation: Still stuck? Get 1-on-1 help from an expert tutor now.
7ft if 3+1/3 hopefully this helps i did hwat i can
Answer:
y-coordinate is 5 or -1.
Step-by-step explanation:
Point A is at (x, 2) and B is at (x+6, 2). Since AB must lie on the line y=2 and be 6 units long. Point C is on the line x = -3 . So let C be at (-3, y).
Since ΔABC is a right angle, then point C must have the same x-coordinate as point A. Therefore, A(-3, 2) and B(2, 2).
The area of ΔABC is 6. So,
9 = 1/2 (b)(h)
where b is the base and h is the height.
so b = 6 and h = AC
Solving this for C gives
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
9 = 1/2 (6)(AC)
18/6 = AC
3 = AC
Point C must lie 3 units above point A or 3 units below the point A. If it lies 3 units above, then it has a y-coordinate of 2 + 3 = 5.
If it lies 3 units below, it has a y-coordinate 2 - 3 = -1.
Therefore, y-coordinate is 5 or -1.
Step-by-step explanation:
