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mezya [45]
3 years ago
10

For what values of x and y must the figure have in order to be a parallelogram

Mathematics
1 answer:
erma4kov [3.2K]3 years ago
5 0

<u>Given</u>:

Given that the parallelogram with the lengths 5x, 3x + 1, 2y - 5 and y.

We need to determine the values of x and y.

<u>Values of x and y:</u>

We know the property that the opposite sides of a parallelogram are congruent.

Thus, we have;

5x=2y-5 ------- (1)

3x+1=y  ------- (2)

The value of x and y can be determined using the substitution method.

Substituting equation (2) in equation (1), we have;

5x=2(3x+1)-5

5x=6x+2-5

5x=6x-3

-x=-3

  x=3

Thus, the value of x is 3.

Substituting x = 3 in equation (2), we have;

3(3)+1=y

    9+1=y

         10=y

Thus, the value of y is 10.

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Ayden had a goal of finishing painting at least 80%80\% 80% 80, percent of the 500500 500 500 square meters of a house's walls b
ANEK [815]

Answer:

<u>Yes</u>, Ayden meet his goal.

Step-by-step explanation:

Given:

Total square meters of house's wall Ayden had to paint = 500 square meters.

The percent of goal Ayden had for painting the wall = 80%.

The square meters of wall Ayden finished painting = 415 square meters.

Now, to find whether Ayden meet his goal.

So, to get the square meters of wall Ayden had the goal:

80\%\ of\ 500\\\\=\frac{80}{100}\times 500\\\\=0.80\times 500\\\\=400\ square\ meters.

<u><em>Thus, the goal Ayden had was to paint 400 square meters of wall.</em></u>

<u><em>And, he actually finished 415 square meters of wall.</em></u>

<u><em>So, the square meters of wall Ayden had finished painting is more than his goal to achieve.</em></u>

<u><em>Hence, Ayden meet his goal.</em></u>

Therefore, yes, Ayden meet his goal.

3 0
3 years ago
Cellus
Paladinen [302]

Answer:

9/4

Step-by-step explanation:

The quadratic function can be rearranged to look like this:

x^2-3x-1=0

Now we see that the constant b is equal to -3. Using the hint, we find:

(-3/2)^2=9/4

Hope that helps!

4 0
3 years ago
Find the domain and range with a vertex of (1,-2)
klemol [59]

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

3 0
2 years ago
Select the factors of 6ab + 3ay − 2bx − xy.
V125BC [204]
Answer
<span>A. (3a − x)(2b + y)

cause

</span><span> (3a − x)(2b + y) = 6ab + 3ay -2bx -xy (expand by using distributive property)</span>
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