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3 years ago

Solve 3(4 – x) ≤ 54

Mathematics

1 answer:

algol133 years ago

7 0

3(4 - x) <= 54

12 - 3x <= 54
-3x <= 42

x >= -14 answer

Its A

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8. In quadrilateral ABCD, AD is congruent to BC, and AD is parallel to BC. Andre has written a proof to show that ABCD is a para

luda_lava [24]

The correct choices to fill the blanks are listed below:

AD
BC
AC
CBA
angle BAC
CD

<h3>How to prove that a quadrilateral is a parallelogram</h3>

In this question we should fill the blanks based all information related to Euclidean geometry, especially concepts related to angles, triangles, parallelism and quadrilaterals.

The complete paragraph is shown below:

Since AD is parallel to BC, alternate interior angles.

AD and BC are congruent.

AC is congruent to AC since segments are congruent to themselves.

Along with the given information that AD is congruent to BC, triangle ADC is congruent to triangle CBA by the Side-Angle-Side Triangle Congruence.

Since the triangles are congruent, all pairs of corresponding angles are congruent, so angle DCA is congruent to angle BAC.

Since those alternate interior angles are congruent. AB must be parallel to CD.

Since we define a parallelogram as a quadrilateral with both pairs of opposite sides parallel, ABCD is a parallelogram.

To learn more on quadrilaterals, we kindly invite to check this verified question: brainly.com/question/25240753

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3 years ago

I need help fast thanks

BabaBlast [244]

Answer:

I wanna say its all real numbers

Step-by-step explanation:

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3 years ago

♦HURRY PLEASE!!! ♦ ↓ Don't worry about the answer choice that is highlighted : )

givi [52]

Answer:

B: {(3,1), (7,9)}

Step-by-step explanation:

For equation 2x-y=5, we can isolate y, so it's easier to solve later:

y = 2x - 5

y = (x - 4)^2

Now, notice that both equations are equal to y, so we can set them equal to each other:

(x-4)^2 = 2x-5

x^2-8x+16 = 2x - 5

x^2-10x+21=0

Now, we can factorize by finding 2 numbers that multiply to 21 and add up to -10:

(x-3)(x-7)=0

x=3 or x=7

Since B is the only one with the x values of 3 and 7, the answer must be B.

But to further check our answer, we can plug x back to any of the equations above to check for y:

(3-4)^2 = 1

(7-4)^2 = 9

Therefore, we can confirm that the answer is B.

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3 years ago

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Suppose c>d. explain why the following inequalities are true:

Aneli [31]

Answer: Optional

Step-by-step explanation:

Since c is greater than d, 2c would be greater than 2d, because when it’s like this 2c

It sometimes means multiply.

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inysia [295]

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