HELP ASAP!!!! if m ∠3 = 42, what is m ∠2? A. 42 B. 48 C. 90 D. 138

What are the properties of parallelogram

KIM [24]

Answer:

The properties of the parallelogram are simply those things that are true about it. These properties concern its sides, angles, and diagonals.

Step-by-step explanation:

The parallelogram has the following properties:

Opposite sides are parallel by definition.

Opposite sides are congruent.

Opposite angles are congruent.

Consecutive angles are supplementary.

The diagonals bisect each other.

If you just look at a parallelogram, the things that look true (namely, the things on this list) are true and are thus properties, and the things that don’t look like they’re true aren’t properties.

If you draw a picture to help you

7 0

4 years ago

You work at a farm that wants to build three identical rectangular corrals in a row against the side of a barn using 112 ft of f

Luden [163]

Answer:

x = 14 ft

y = 56 ft

A(max corral) = 784/3 = 261.33 ft²

Step-by-step explanation:

Let´s call y the side parallel to the barn, then only one y is going to be fenced.

If we are going to divide the area in three identical corrals we need 4 times x ( the other side perpendicular to the barn)

The perimeter of the rectangular area ( divide in three identical corrals)

112 = y + 4*x or y = 112 - 4*x

A (r) = x*y

Area as a function of x is

A(x) = x* ( 112 - 4*x) A(x) = 112*x - 4*x²

Tacking derivatives on both sides of the equation

A´(x) = 112 - 8*x A´(x) = 0 112 - 8*x = 0

x = 112/8

x = 14 ft

And y = 112 - 4*x y = 112 - 56

y = 56 ft

A(max) = 14 * 56 = 784 ft²

A(max corral) = 784/3 = 261.33 ft²

How do we know the area is maximum, tacking the second derivative

A´´(x) = - 8 A´´(x) < 0

Then the function A(x) has a maximum at the point x = 14

6 0

3 years ago

Which two of these fractiobns are eqivelent to 1/4? A.3/15 B.2/8 C.5/20 D.11/40

Pavel [41]

Answer:

2/8

Step-by-step explanation:

they can both be divides by two making 1/4 or multiply 1/4 by 2 and youll get 2/8

6 0

3 years ago

Read 2 more answers

Formula for triangular prism

Mariulka [41]

Answer:

calculate the volume of a triangular prism, the formula is:

V = 0.5 X b X a X h.

4 0

3 years ago

A researcher believes that 9% of females smoke cigarettes. If the researcher is correct, what is the probability that the propor

lara31 [8.8K]

Answer:

The probability that the sample proportion would differ from the population proportion by more than 3% is 0.0027.

Step-by-step explanation:

Let X = number of females who smoke cigarettes.

The probability that a female smoke cigarettes is, p = 0.09.

A random sample of size, n = 703 females were selected to determine the sample proportion of females who smoke cigarettes.

A female smoking cigarettes is independent from others.

The random variable X follows a Binomial distribution with parameters n = 703 and p = 0.09.

Now, as the sample size is quite large, i.e. n = 703 > 30, according to the Central limit theorem the sampling distribution of sample proportion can be described by the Normal distribution.

The mean of this sampling distribution is same as the population proportion, i.e. $\mu_{\hat p}=p=0.09$ .

And the standard deviation of the sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.09(1-0.09)}{703}}=0.0108$

Compute the probability that the sample proportion would differ from the population proportion by more than 3% as follows:

$\hat p-p>0.03\\\hat p>0.03+p\\\hat p>0.03+0.09\\\hat p>0.12$

Compute the value of $P(\hat p>0.12)$ as follows:

$P(\hat p>0.12)=P(\frac{\hat p-p}{\sigma_{\hat p}}>\frac{0.03}{0.0108})\\=P(Z>2.78)\\=1-P(Z$

Thus, the probability that the sample proportion would differ from the population proportion by more than 3% is 0.0027.

7 0

3 years ago