Use the system of equations below to answer the questions 1-4. -2x + y = 4 2x + 3y = 20 1) Which of the following problems is created by using the elimination method on the system above? a) 4x + 4y = 24 b) 4y = 24 c) -4x + 3y = 24 d) -2y = 16 Ha a "79.4 2) Find the value of y. Show ALL of your work. O 3) Find the value of x. Show ALL of your work. W O P II search

Given,

The measure of angles of triangle ABC is 82 degree, 75 degree, and 23 degree.

The side of triangle are not congruent.

As, the sides and angles of the triangle are not equal.

Hence, the triangle is scalene acute triangle.

We want to simplify the expression:

First of all, w

The total number of people=1300

To find the number of people x, supporting the home team

Hence the number of people supporting the home team is 1027

Given: 1105,1180,1056,1102,1295,1313,1146,1248,1133,1059,1352,1317,1111,1025,1125,1270,1362,1103,1357,1062,1331

Find: relative frequency of second class.

Explanation: the second class varies from 1072-1131

1105,1102,1111,1125,1103. are the numbers lies from 1072-1131

these are 5 number so their frequency is 5.

and total numbers are 21 . so the relative frequency is

Final answer: the relative frequency of second class is 0.23

Given that both secants are equal, we can deduct that arcs AB and DC are equal.

We know that the whole circumference is 360°.

Hence, x is equal to 11.

Explanation:

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

From the question, we can see that X, W, and Z do not lie on the same line. Therefore

Answer: False

The Solution:

Given the boxplot below:

Thus:

The first quartile = 297

The third quartile = 369

Therefore, the correct answer is [option 4]

The class width is the difference between the lower limits of any two consecutive classes. For context, the lower limit is the smallest value of a class, and the lower limit is the highest value of the class. All classes should have the same width.

In this case, we can consider the hour intervals as the classes, so if we focus on the 3.0 to 6.4 hours interval and on the 6.5 to 9.9 interval, we can determine the class width:

If we do the same thing with any two consecutive classes, we'll see that the width is also 3.5 (10.0-6.5=3.5, for example).

In conclusion, the class width is 3.5.

This is a conversion problem

we need to convert 18 Pints to Quarts

since 1 pt = 0.5 qt , then:

In summary

18 pt = 9 qt

1.- We are given that:

therefore:

2.- Recall that a condition that must be satisfied for three lengths to be the sides of a triangle is that the sum of any pair of lengths is greater than the other length, therefore:

3.- Substituting AC for AB, using the congruence statement in point number 2, we get:

Answer:

Step-by-step explanation:

13)

Answer:

Explanation:

A rational number can be written in the form of quotient of two integers

67.7148 1 cannot be written as a quotient f two integers. Thus, it is irrational

Given:

A desk is shaped like a rectangle.

The length is l =2.6 feet,

The width is w = 1.3 feet.

Required:

We need to find the perimeter of the desk.

Explanation:

Consider the perimeter of the rectangle formula.

Substitute l=2.6 and w =1.3 in the formula.

Final answer:

The perimeter of the desk is 7.8 feet,

Given

To solve, we will collect

Data:

• A,( 0, 1,820,000)

• B,( 29, 1,200,000)

• Year 2 - year 1 = 2019 - 1990 = 29

a)

Based on the point A and B, the linear model is as follows:

• Slope ( ,m ,)

• Parameter b

Answer a) (linear model):

b)

2032-1990 = 42

Answer of the number of violent crimes in 2032:

c)

Answer of c: 2037

The time it takes duck eggs to hatch in a nursery is normally distributed with a mean

of 42 days and a standard deviation of 3.8 days. What is the probability that a

randomly selected duck egg takes between 34 and 43 days to hatch?

step 1

Find the z-scores

For x=34

z=(34-42)/3.8

z=--2.105

For x=43

z=(43-42)/3.8

z=0.263

step 2

using Standard Normal Distribution Table

we have

For z=-2.105 --------> P=0.4842

For z=0.263 -------> P=0.1026

therefore

the probability is

SOLUTION:

Case: Equation of a graph

Method:

Let the equation be:

Transformation 1:

Translate 2 units up

Transformation 2:

Vertical dilation by a factor of 3

Transformation 3:

Final answer:

3.- If two parallel lines are cut by a transversal, alternate interior angles are congruent. Therefore:

4.-Angle-Angle Postulate states that two triangles are similar if they have two congruent angles.

SOLUTION

We will use the formula

Plugging in we have

Hence the answer is

(0.640, 0.680)

Markup is the difference between the scarf's selling price and it's original cost.

The scarf was originally $12, let

S1 = 12

The cost is $15, let

S2 = 15

Markup, M = S2 - S1

= 15 - 12

= 3

$3$

Markup Percent is now:

Markup divide by original cost, times one hundred

That is;

3/12 * 100

= 100/4

= 25 percent

Given: An expression-

Required: To determine the terms in the expression.

Explanation: The terms in an expression are the variables, constants, or combination of variables and constants separated by a + or - operator.

Hence, the terms in the expression are-

Final Answer: The terms are: 3, 5, 7b, and -18a.

Ok, so

We got the next table:

First of all we're going to check if this represents an exponential function.

The table seems to be a linear function. It's not exponential. That's because if you see, the way that the values are changing is at a constant rate.

In x, we got one to one, and in y, three to three between each value.

We have the above equation and we must solve, the only unknown is "x", we must solve the mathematical operations and then clear "x"

The answer is x=7

To transform 29 23/200 as a decimal, you have to divide 23 by 200

Then, 23/200 = 0.115 and 29 23/200 = 29.115

The Solution.

The correct answers are:

One Radius = MT or MW

One Diameter = TW

One Chord = RV

Secant: Line = Line RV

Tangent: Line = Line m

1) Let's solve this expression 1/3(3x-9)+2x=1/2(4x+ 8)

2) Distribute the factor 1/3 and 1/2

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

Step 01:

data:

diagram

Step 02:

scale factor:

We must analyze the polygons to find the solution.

1. Circle A ===> Circle B

Circle A:

ra = 5

Circle B:

rb = 3

scale factor (k):

ra * k = rb

5 * k = 3

k = 3 / 5

k = 0.6

The answer is:

scale factor of dilation = 0.6

Given the instructions on the problem, we have the following:

which is the graph of the equation y = -4/5 x+ 6. Also, we have that the second point is (5,2)

Given that the solution of the initial system of equations is (1,4), we need to find a third line such that it goes through (1,4); then,

We can set any value for a; for example, a=1; thus,

Therefore, one possible third line is

The green line is the one you need to graph, the others have already been plotted.

As you can see in the picture, the triangle is a Right triangle, because it has an angle that measures 90 degrees (also known as "Right angle").

Then, you can use the following Trigonometric function:

In this case: