In the diagram below AB⊥CD and bisects ∠MOP.(a) If m∠MOP=130° find m∠POD.(b) If m∠COM=38°, find m∠MOP and m∠POD.

Given:

Required:

We need to answer the questions

Explanation:

Angle LMN and angle PON are the congruent because both are alternate angles

Now angle LNM and angle ONP are also congruent because those two triamgles are similar and both are internal angles

Now to find the value of x

Final answer:

x=6

Step 1

Solve the equation by graphing

You can rewrite the equation as

step 2

Using a graphin calculator as Desmos

x=-4.021

The solution is x=-4.021

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Solution

The expression 5p represents the total price of buying 5 movie tickets. • What do the parts of the expression 5p represent?

The variable p represents the ticket price The number 5 represents the number of tickets

For this case the correct answer would be:

5p -10

The coefficient 5 represents the price of 1 ticket

for the next part the answer would be:

7 +3x

And the last part

2/3 y -6

To find equivalent ratios to 3/5, we just have to multiply each part by 4, 2, and 3.

First let't find the slope

Pick any two point and locate its coordinate

(0, 1500) and (2, 1800)

x₁ = 0 y₁=1500 x₂=2 y₂=1800

substitute the values into the formula below to find the slope

The y-intercept(b) of the graph is b=1500

Substitute the values of the slope and intercept into y=mx +b

This gives the equation of the graph.

That is:

Answer:

364

Step-by-step explanation:

z/13 = 28

z = 13 x 28

z = 364

Okay, here we have this:

We need to find the inverse of the matrix, let's do it:

For that we are going to make the augmented form with the identity matrix and convert the original matrix into the identity:

Finally the inverse is on the right side of the augmented matrix:

First, we have to find the height using the following equation:

We have found the height. If h < b < a, we can have only one triangle. That is the case. So the answer will be 1 triangle.

SOLUTION

The even numbers here are 2, 4, 6 and 8. That is 4 numbers.

The numbers greater than 3 are 4, 5, 6, 7, and 8, that is 5 numbers.

And we have a total of 8 numbers.

Let P(A) be the probability of the pointer landing on an even number

Let P(B) be the probability of the pointer landing on a number greater than 3

Let P(A or B) be the probability that the pointer stops on an even number or number greater than three

From the probability formula,

Hence

Therefore, P(A or B) becomes

11 + 4(x + 3) = 10

Apply distributive property:

11+ 4(x)+4(3) = 10

11+ 4x+12 = 10

Combine like terms:

4x+11+12 = 10

4x +23 = 10

Every rational number is also an integer.

we have that

The rational numbers include all the integers

so

Given a function,

At x = 0,

At g(x) = 0,

At x= 1,

Therefore, the required graph is,

We have the following inequality:

3x + 4 > -18

Subtracting 4 from both sides we got:

3x > -22

Dividing both sides by 3 we got:

x > -22/3

Since -22/3 is between -7 and -8 and x must be equal or greater than -22/3, the smallest integer value in the solution of the inequality is -7 (note that -8 isn't part of the solution)

The radius changing when the volume is 8in^3/min by: -512π /30 in³ /min.

First step is to find the  radius changing over time at a constant rate

dr/dt = 10-12 /30

= -2/30 in/min

Now let find the how fast is the radius changing using this formula

dV/dt = 4πr²(dr/dt)

Where,

r =8

Hence,

dV/dt  = 4π (8in)² × -2/30 in/min

dV/dt  = 4π (64in) × -2/30 in/min

dV/dt  = -512π /30 in³ /min

Therefore the change in radius is -512π /30 in³ /min.

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In order to find a reference angle, we need to find the smallest possible angle formed between the x-axis and the terminal line of the given angle, going either clockwise or counterclockwise.

Since the given angle is 129°, and 90<129<180, it will look something like this:

As we can see, the reference angle will be

so it will be 51°.

A)

Equation:

B)

Equation:

C)

Equation:

D)

Equation:

Equations express relationships between variables and constants. The solutions to two-variable equations consist of two values, known as ordered pairs, and written as (a, b) where "a" and "b" are real-number constants. An equation can have an infinite number of ordered pairs that make the original equation true.

Here, the given equation is,

Rewriting this equation in terms of x, we have,

So, now creating a table, with the values, we get the ordered pair. For example, let us take x as 1, then ,

So, (1,0) is an ordered pair in this equation.

If x =0,

So the pair is, (0,-2).

Hello!

Let's analyze the points from each quadrant:

Quadrant I:

x > 0 and y > 0

Quadrant II:

x < 0 and y > 0

Quadrant III:

x < 0 and y < 0

Quadrant IV:

x > 0 and y < 0

So, the answer is:

Alternative D) Quadrant III.

First, we have to know the total number of years between 1993 and 1996. If we subtract, we find the there are 3 years in between.

Now, we divide the total number of injured horses by the total numbers of years.

However, we can't round to 2,182 because horses are not incomplete.

The resultant answer of the given expression (3t/t⁵)⁻⁵ is t²⁰/243.

So, solve the expression as follows: (3t/t^5)^-5

Apply exponent rule:

Simplify as shown:

Apply function rule:

Therefore, the resultant answer of the given expression (3t/t⁵)⁻⁵ is t²⁰/243.

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The formula for determining probability is expressed as

Probability = number of favorable outcomes/number of total outcomes

number of favorable outcomes = number of blue socks = 2

number of total outcomes = number of all socks = 3 + 4 + 2 + 4 = 13

Thus, the probability of picking a blue sock is

2/13 = 0.1538

Converting to percentage, we would multiply by 100. We have

0.1538 x 100

= 15.38%

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

y-intercept = ?

f(x) = (1/2) ^ x

Step 02:

y-intercept :

x = 0

The answer is:

y-intercept

(0 , 1)

Answer:0.02

Step-by-step explanation:

Answer: y= x/6+9

Step-by-step explanation:

Given a triangular prism with side lengths of the base as a, b, and c, and height h, then the lateral surface area, A is given by

In our case,

Hence,

Therefore, the lateral surface area in square meters is 225

Explanation

The volume of a rectangular prism is given by:

then,Let

length= 3/4

width=1/2

heigth=2/3

Now, replace,

I hope this helps you

1,242 ÷ 23 = 54

and

732 x 268 = 196, 176

Use the following formula:

Let:

Therefore: