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Nesterboy [21]
3 years ago
7

Find the value of x for which ABCD must be a parallelogram

Mathematics
1 answer:
grin007 [14]3 years ago
7 0
The two must be the same so 
-2x+7=13x-5

Simplify down to 15x=12

the divide 12 by 15 and simplify the fraction.  get 

x= \frac{4}{5}
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What is the measure of ∠ADC in quadrilateral ABCD?
Andreyy89

we know that

The quadrilateral ABCD is a isosceles trapezoid. The properties of the isosceles trapezoid are as follows:

-The lower base angles are congruent.



So

m∠A=m∠D

m∠B=m∠C

m∠A+m∠B=180°

m∠D+m∠C=180°

therefore

m∠D=m∠A=115°

m∠B=180-m∠A

m∠B=180-115

m∠B=65°

m∠C=m∠B=65°

<u>the answer is</u>

The measure of angle ADC is 115°

4 0
3 years ago
Read 2 more answers
Given y=(2x+3)2, choose the standard form of the given quadratic equation
katrin2010 [14]

y=(2x+3)^2 = 4x^2 +12x +9

Taking 4 out from first two terms, we will get

y=4(x^2+3x)+9

Now we divide the coefficient of x by 2 and add and subtract the square of the result, we will get

y=4(x^2+3x+\frac{9}{4}-\frac{9}{4})+9

Distributing 4

y=4(x+\frac{3}{2})^2+9-9

Cancelling 9

y=4(x+\frac{3}{2})^2

And that's the required standard form.

5 0
3 years ago
Jim and Mary are competing in a math contest. They have to calculate how much it takes to completely fill a canister with a radi
Greeley [361]

Answer:

V = pi times r-squared times h.

pi = 3.14

Step-by-step explanation:

or simply it means V= 251.327

6 0
2 years ago
Which of the following is the concept illustrated with the misentered​ data? A. The procedure for constructing the confidence in
GenaCL600 [577]

Answer: B. The procedure for constructing the confidence interval is robust. The larger the sample​ size, the more resistant the mean.​ Therefore, the confidence interval is more robust.

Step-by-step explanation:

Large sized data samples usually have more stability than data with small samples, they yield a mean value which edges closer to the value of the population data. This means that large size data samples will have a mean which is more resistant to change than samples with a lower sample size. The confidence interval gives robustness while constructing a model by giving te leverage for a range of values based in a certain level of confidence upon which a statistical vale can be tested for validity.

8 0
3 years ago
Given a regular square pyramid with RS = 6 and PX = 4, find the following measure. QS=
aalyn [17]
The picture in the attached figure

we know that
RS=ST----------------> because is a square base
so
QS is the diagonal of the square base
applying the Pythagoras Theorem
QS²=RS²+ST²------> 6²+6²-----> QS²=72------> QS=√72----> QS=6√2 units

the answer is
QS=6√2 units

8 0
3 years ago
Read 2 more answers
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