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ValentinkaMS [17]
3 years ago
15

Determine the values of the variables in the parallelogram below.

Mathematics
1 answer:
pishuonlain [190]3 years ago
7 0

Answer:

m = -10, 14 x = 1, -5

Step-by-step explanation:

m^2 - 4m = 140 (in a parallelogram, opposite angles are congruent)

(1)m^2 - 4m - 140 = 0

Objective: Find two numbers that multiply to -140(1 * -140) and add to -4

Numbers: 10, -14

(m + 10)(m - 14) = 0

m + 10 = 0, m - 14 = 0

m = -10, m = 14

x^2 + 4x = 5 (in a parallelogram, opposite sides are equal)

(1)x^2 + 4x - 5 = 0

Objective: Find two numbers that multiply to -5(1 * -5) and add to 4

Numbers: -1, 5

(x - 1)(x + 5) = 0

x - 1 = 0, x + 5 = 0

x = 1, x = -5

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On the grid draw a scaled copy of quadrilateral ABCD with a scale factor 2/3
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Answer:

Attached diagram A'B'C'D'

Step-by-step explanation:

Given is a quadrilateral ABCD. It says to draw a dilated version with a scale factor 2/3.

We see that scale factor is less than 1 which means it shrinks the image to a smaller one.

To draw a scaled copy, we need to find the lengths of its sides.

To do so, we can draw the diagonals AC & BD, and they intersect at origin O(0,0) such that OA= -2, OB= 2, OC= 4, OD= -4.

Applying a scale factor of 2/3, we get OA' = -4/3, OB' = 4/3, OC' = 8/3, OD' = -8/3.

So we have attached a scaled copy A'B'C'D' of quadrilateral ABCD with a scale factor 2/3.

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3 years ago
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3 years ago
Can someone help me out?
Vilka [71]

Answer:

3. 27

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Step-by-step explanation:

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3 0
3 years ago
Which statements can be used to accurately compare the functions? Select two options. [ g(x) has the lowest minimum. f(x) has th
uysha [10]

The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph, we can see all the functions have y-intercept:

At x = 0

f(0) = 1

g(0) = -1/2

h(0) = -5

The f(x) has the greatest maximum, which is 10

Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

Learn more about the function here:

brainly.com/question/5245372

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4 0
2 years ago
4. If y - 2x = 3 and y - x = 1, what are the values of x and y?
ioda

y - x = 1.

or, y= 1+x

y - 2x = 3.

=>1+x -2x= 3 (substituting the value of y)

=>-x= 2

=>x= -2

y = -2+1 = -1

Therefore, x = -2 and y = -1

3 0
3 years ago
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