2x(6x^2 + 3x - 1) Simplify

What is true about anglemsr? it must be acute. it must be a right angle. it must be equal to anglemrh. it must be equal to angle

NARA [144]

From the given diagram <msr is a right angle (equal to 90 degrees) and <mrh is acute since it is less than 90degrees.

<h3>Properties ofa rhombus</h3>

The given diagram is a rhombus that has the following properties

Opposite side are equal
All the sides are congruent
The opposite angles are equal
The sum of the adjacent angles are supplementary

From the figure shown, we can see that;

<msr is a right angle (equal to 90 degrees)

<mrh is acute since it is less than 90degrees.

Learn more on rhombus here: brainly.com/question/88523

#SPJ1

7 0

2 years ago

Lola uses 4 cups of sugar for 3 gallons of lemonade. How many cups of sugar would she need for a

saveliy_v [14]

Answer:

4=3

x=1

4=3x

4/3=x

1.3=x

4 0

3 years ago

Quick! Easy Algebra 2 question, Rational expressions

madreJ [45]

The GCF is: 2x^2a

Hope this helps!

3 0

4 years ago

john has us and foreign stamps in his album. the ratio of the numer of us stamps to foreign stamps is 5:2. after paul gives him

VLD [36.1K]

Answer:

The number of U.S stamp he has is 120.

Step-by-step explanation:

John has us and foreign stamps in his album. the ratio of the number of U.S stamps to foreign stamps is 5:2.

After Paul gives him 12 foreign stamps the ratio becomes 2:1.

Now, to find the number of U.S stamps.

Let the U.S stamps be $x.$

And the foreign stamps be $y.$

Now, to solve by using cross multiplication method:

So, the ratio is:

$\frac{x}{y} =\frac{5}{2}$

By cross multiplying we get:

$2x=5y$

Dividing both sides by 2 we get:

$x=\frac{5y}{2}$ ......(1)

Now, after Paul gives him 12 foreign stamps the ratio becomes:

$\frac{x}{12+y} =\frac{2}{1}$

By cross multiplying we get:

$x=24+2y$

Putting the value of $x$ as we get in above equation (1):

$\frac{5y}{2} =24+2y$

Multiplying both sides by 2 we get:

$5y=48+4y$

Subtracting both sides by 4y we get:

$y=48.$

The number of foreign stamps = 48.

Now, to get the number of U.S stamps by putting the value of $y$ in equation (1):

$x=\frac{5\times 48}{2}$

$x=\frac{240}{2}$

$x=120.$

Therefore, the number of U.S stamp he has is 120.

7 0

4 years ago

According to data from the 2010 United States Census, 43.1% of Americans over the age of 65 were male.

MrMuchimi

Answer: $\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064$

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$

, where p= population proportion.

n= sample size.

Let p represent the sample proportion of Americans over the age of 65 that were male.

Given : The proportion of Americans over the age of 65 were male.

p= 43.1%=0.431

sample size : n= 60

Then, the mean and standard deviation of the sampling distribution of p will be :-

$\mu_{\hat{p}}=p =0.431\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.431(1-0.431)}{60}}\\\\=\sqrt{0.0041}\approx0.064$

Hence, the mean and standard deviation of the sampling distribution of p :

$\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064$

4 0

3 years ago