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3 years ago

Quadrilateral MNOP is a rhombus. If the measure of Angle PON = 124, find the measure of Angle POM.

Mathematics

2 answers:

Degger [83]3 years ago

8 0

In a parallelogram, two angles are equal and another two angles are equal. The total amount of angles is 360.124 * 2 = 248. 112 / 2 is 56. The answer is 56.

sergij07 [2.7K]3 years ago

5 0

The answer is 62 because angle POM is the angle bisector of angle PON and an angle bisector is when an angle is divided by 2 because angle POM and MON are congruent. When two angle are congruent that means that they are both the same number of degrees.

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Help me out ? it would help alot

Dafna1 [17]

The method that is not correct is brandon's method.

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3 years ago

Read 2 more answers

Paul has 12 coins in his pocket, consisting entirely of dimes and quarters. If he has a total of 195 cents in coins, how many co

anyanavicka [17]

Let x be the number of dimes

and y be the number of quarters

Total number of coins = 12

So number of dimes + number of quarters = total number of coins

x + y = 12 ---------> equation 1

We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196

y quarters = 25y cents , x dimes = 10x cents

x dimes + y quarters = 195 cents

10x + 25y = 195 -----------> equation 2

Now solve both equations

x + y =12, we solve for y by subtracting x on both sides

y = 12-x

Now substitute y in second equation

10x + 25(12-x) = 195

10x + 300 -25x = 195 (combine like terms)

-15x + 300 = 195 (subtract 300 on both sides)

-15x = -105 ( divide by -15)

x=7

y= 12-x

y=12-7 = 5

The number of dimes = 7

Number of quarters = 5

8 0

3 years ago

Miko and Raj get the same salary. Every month Miko saves

navik [9.2K]

Answer:

Step-by-step explanation:

The salaries are the same. Only the fraction of how much is saved is quite different.

Equation

x ( 9/11 - 7/9) = 1584

Explanation: The salary amount is x. The fractional amounts saved are also given. You have to take the difference because one of the people saves more than the other.

The amount that is more is 1584.

Solution

9/11 = 0.8182

7/9 = 0.7778

9/11 - 7/9 = 0.8182 - 0.7778 = 0.0404

Put that into the equation.

x(0.0404) = 1584 Divide by 0.0404)

x(0.0404) = 1584/0.0404

answer:x = 39204

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3 years ago

Consider the function and its inverse.

Ber [7]

Answer:

The domain of $f(x)$ is restricted to $x\leq 0$ , and the domain of $f^{-1}(x)$ is restricted to $x\geq 4$ .

Step-by-step explanation:

From Function Theory we know that domain of a function is the set of values such that an image exist. Let $f(x) = x^{2}+4$ and $f^{-1}(x) = \sqrt{x-4}$ the function and its inverse, respectively.

At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.

But domain of its inverse is restricted to every value of x so that $x-4 \geq 0$ , which means that $x\geq 4$ .

Finally, we concluded that following answer offers the best approximation to our result:

The domain of $f(x)$ is restricted to $x\leq 0$ , and the domain of $f^{-1}(x)$ is restricted to $x\geq 4$ .

6 0

3 years ago

What are the coordinates of the red dot?

kow [346]

Answer:

(5, 2)

Step-by-step explanation:

Coordinates of a point in a coordinate plane is usually written as (x, y). This point contains the value of x and its corresponding y value.

The red dot on the plane given, if you trace it down to the x-axis, it is at x = 5, while if you trace it horizontally against the y-axis, you'd have y = 2.

Therefore, the coordinates of the red dot is (5, 2).

3 0

3 years ago