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Katena32 [7]
3 years ago
13

(Will give brainliest if asked for)

Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

A. x <= -12

<u>Explanation:</u>

-3x >= 36

-x >= 36/ 3

-x > = 12

x < = -12

When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.

Therefore, x <= -12

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Prove that a parallelogram is a square iff its diagonals are both congruent and perpendicular
Juliette [100K]
Consider the parallelogram shown below.
The lengths of the sides are a and b.
The lengths of the diagonals are 2x and 2y.

Because the diagonals are both congruent and perpendicular, therefore there are two right triangles as shown.
Note that x = y.
Because x = y, each right triangle is isosceles and has the angles 90°, 45° and 45°.

From the Pythagorean theorem,
For one right triangle,
a² = x² + y² = x² + x² = 2x².
For the other right triangle,
b² = y² + x² = x² + x² = 2x²

Therefore
a² = b²
a = b

It follows that all sides of the parallelogram are equal and each angle is
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Therefore the parallelogram is a square.

6 0
3 years ago
For a sample of n = 30 scores, X = 45 corresponds to z = 1.50 and X = 40 corresponds to z = +1.00. What are the values for the s
TEA [102]

Answer:

30

Step-by-step explanation:

Here, it is given that the Z – score corresponding to the score X = 45 is 1.5 and the Z – score corresponding to the score X = 40 is...

Z = \frac{X - M}{S}

So:

1/ 1.5 = \frac{45 - M}{S} and 1 = \frac{40 -M}{S} . solve the both equations, we found out:

<=> S = 10

=> M = 30

Hence, mean is:

M = 45 -1.5S = 45 - 1.5 (10) = 30

3 0
3 years ago
What are the dimensions of the largest rectangular field that can be enclosed with 64m of wire?​
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Step-by-step explanation:

perimeter = 2*length + 2*width

area = length*width

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Rectangular means all the corners have to be right angles.

If we say it can be a square, then...

perimeter = 4*side

64 / 4 = side

side = 16 meters

So the dimensions would be 16 m x 16 m

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55+10.00x ≥ 150 x ≥ 9.5 hours I hope that helps
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2 years ago
Try to find this answer! Thank you!
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