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liberstina [14]
3 years ago
10

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:

  1. AD
  2. BC
  3. AC
  4. CBA
  5. angle BAC
  6. 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:

<em>Since </em><u><em>AD</em></u><em> is parallel to </em><u><em>BC</em></u><em>, alternate interior angles. </em>

<u><em>AD</em></u><em> and </em><u><em>BC</em></u><em> are congruent. </em>

<em>AC is congruent to </em><u><em>AC</em></u><em> since segments are congruent to themselves.</em>

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

<em>Since the triangles are congruent, all pairs of corresponding angles are congruent, so angle DCA is congruent to </em><u><em>angle BAC</em></u><em>.</em>

<em>Since those alternate interior angles are congruent. AB must be parallel to </em><u><em>CD</em></u><em>. </em>

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

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

8 0
3 years ago
I need help fast thanks
BabaBlast [244]

Answer:

I wanna say its all real numbers

Step-by-step explanation:

3 0
3 years ago
♦HURRY PLEASE!!! ♦<br><br> ↓<br> 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.

7 0
3 years ago
Read 2 more answers
Suppose c&gt;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.

7 0
3 years ago
Please explain how to graph this and how you did it
inysia [295]
So you would start at the origin which is 0 then go down one cause of the -1 and right 2 because of the positive 2
3 0
3 years ago
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