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stira
6 days ago
15

If ABCD is a parallelogram, which of the following statements must be true?

Mathematics
2 answers:
lawyer [4K]6 days ago
8 0

Answer: d. AB = CD and BC = AD


Step-by-step explanation:

A parallelogram is defined as a four-sided figure with the following characteristics:-

  1. Opposite sides are equal (AB = CD and BC = AD ).
  2. Opposite angles are equal (∠A=∠C and ∠D=∠B).
  3. Consecutive angles are supplementary (∠A + ∠D = 180°).
  4. The diagonals bisect one another.
  5. If one angle is a right angle, then all angles are right angles.

zzz [4K]6 days ago
3 0
D the opposite sides are equal and parallel.
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12x+7<−11 AND5x−8≥4012
Svet_ta [4341]

Answer:

No solution

Step-by-step explanation:

Given: 12x+7 and  5x-8\geq 40

Handle each inequality separately.

12x+7              Utilizing the subtraction property of inequalities

12x

12x

x

x

and

5x-8\geq 40               Utilizing the addition property of inequalities

5x\geq 40+8

5x\geq 48

x\geq \dfrac{48}{5}

Thus, the solution to the combined inequality is the overlap of both solutions.

Refer to the attached image for the number line representation.

No solution

8 0
12 days ago
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Write the number 0.21212121.. as a fraction let x=
AnnZ [3900]
To work with the repeating decimals, note that since there are two digits repeating, you will be using a 1 followed by two zeros, which is 100. This factor will be important for subsequent calculations.

Let’s denote the repeating decimal as x.

Thus, you can write

x = 0.212121...

Now, if you multiply this equation by 100, you can write it on top of the previous equation.
This results in:

100x = 21.212121...
x = 0.212121...

Next, set up a subtraction by taking the second equation from the first:

100x = 21.212121...
x = 0.212121...
- ----------------------------
99x = 21

Solving for x involves dividing both sides by 3:

33x = 7

Then, divide both sides by 33:

x = 7/33

Thus, we conclude that the repeating decimal 0.212121... equates to the fraction 7/33.

Answer: the fraction is 7/33
7 0
8 days ago
Which expression can be used to convert 100 USD to Japanese yen
lawyer [4039]
As of 12:04 EST in the U.S.

$1=<span>112.624847 Yen

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100USD(112.624847Y/1USD)=11262.62 Yen</span>
8 0
8 days ago
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Solve h=vt-gt^2, for v
PIT_PIT [3949]

Answer:

  v=\dfrac{h+gt^2}{t}

Step-by-step explanation:

To solve for v, reverse the operations performed on it, starting with the equation provided. Here, v is affected by:

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To start, we first need to add gt^2 back to the equation to counteract the subtraction:

  h + gt^2 = vt

Next, we undo the multiplication by dividing the entire expression by the coefficient of v:

  (h + gt^2)/t = v

3 0
8 days ago
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A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar
tester [3938]

Answer:

1) Determine the likelihood that a selected book is a nonfiction hard cover. P(N ∩ H) = 4/20

2) Calculate the probability of picking a hard-covered book. P(H) = 11/20

3) Compute the conditional probability. = 4/11

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1.) 4/20

2.) 11/20

3.) 4/11

7 0
2 days ago
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