Please help me with this geometry problem. i don’t understand.

Quadrilateral: Plane figure that has four sides. All squares are quadrilaterals but not every quadrilateral is a square.

1- False

A square is considered as a rhombus because all the sides are equal in length, the diagonals are perpendicular to each other and bisecs opposite angles. Then, a square is a rhombus but as not all the rhombus has right angles not every rhombus is a square

2- False

A square is a parallelogram (quadrilateral with two pairs of parallel sides) with four sides of equal length. Then, every square is a parallelogram

3- True

A square is considered as a rhombus with right angles. Then, every rhombus with foru right angles is a square.

4-True

Solution

For this case the general expression for a parabola is given by:

y- k= a(x-h)^2

From the info given we know that h = 1 and k= 2

And replacing we got:

y -2 = a(x-1)^2

And replacing the point given we got:

6-2 = a(3-1)^2

4= 4a

a=1

And the equation would be given by:

y-2 = (x-1)^2

operator nameEXPLANATION

STEP 1: Find the time taken to cook the meal.

The amount of time does George needs to cook the meal is the sum of all the time it would take to cook each of the individual meal

Therefore,

STEP 2: Find the time he needs to start to cook the meal.

The right time to start cooking the meal is simply subtracting 1hour 21 mins 45 secs from 4.00 pm

1) Remove 1hour from 4.00 pm =3.00pm

2) Remove 21 mins from 3.00pm=2.39 pm

3)Remove 21 secs from 2.39pm= 2.38pm 15secs

Therefore the right time for George to start cooking is 15secs after 2.38pm

Answer: x= -3

Step-by-step explanation:

7x = 6+ 15x + 15 - x

7x = 21 + 14x

-7x = 21

x= -3

Nine times c is less than -15.

Can be written as

Given:

There are given that the area of the shaded circular sector is:

Explanation:

To find the central angle, we need to use the formula of area of the sector:;

So,

From the formula of area of the sector:

Then,

Put the value of area and radius into the above formula;

So,

Then,

Final answer:

hence, the central angle is 108 degrees.

Given:

The perimeter of a rectangle is 32 meters and the length is 4 meters longer than the width

Let, x = the length of the rectangle

And, y = the width of the rectangle

So, we have the following system of equations:

We will use the method of substitution to solve the system

So, from equation 2:

substitute with (x) from equation (3) intp eqaution (1)

solve the equation to find (y):

Now, substitute with (y) into equation (3) to find (x):

So, the answer will be:

The length of the rectangle = 10 m

The width of the rectangle = 6 m

By definition, two angles are adjacent if they share one side and the vertex.

To determine if ∠3 and ∠4 are adjacent, you have to look at each image and determine if they share the vertex and one side:

1.

In this image ∠3 and ∠4 share, the vertex but they do not share one side, this indicates that these angles are not adjacent.

2.

In this image ∠3 and ∠4 share the vertex and one side (blue line), which indicates that they are adjacent angles.

3.

In this image ∠3 and ∠4 share one side (blue line) but each angle has its own vertex (green dots). You cannot conclude these angles are adjacent.

4.

Two angles are complementary of they add up to 90º, they don't necesarly have to be adjacent.

Any acute angle, meaning, any angle that measures less than 90º, has a complement.

For example, you have the following angles:

- If both ∠1 and ∠2 are acute angles and complementary, then we know that they add up to 90º:

-For example, ∠1= 46º, then you can determine the measure of ∠2 as follows:

Both ∠1=46º and ∠2=44º are acute and add up to 90º

-If one of the angles is a right angle, for example, ∠2=90º, then no matter what measure does ∠1 take, they will never add up to 90º.

We can say that right angles do not have a complement.

-If one of the measures of the angles is more than 90º (it is an obtuse angle), let's say, for example, ∠1= 124º, no matter what measure ∠2 has, if you add both angles, they will never add up to 90º.

So we can say that obtuse angles have no complements.

In conclusion, not all angles can have a complement, only acute angles have complements.

Given:

To solve: The system of equations by substitution

Explanation:

Substituting equation (1) in equation (2), we get

Substitute the x value in equation (1), we get

Final answers: The solutions are,

Given:

The graph is g(x) is given and the function h(x) is,

To classify the asymptotes:

Since the translated transformation of 5 units left,

There are no changes in the horizontal asymptote.

But, the vertical asymptote is,

Thus, the graph h(x)=g(x+5) has the same horizontal asymptote as the function g

After some mathematical operations, the rate of change is -273/5.

So, the rate of change will be:

Evaluate as follows:

Therefore, after some mathematical operations, the rate of change is -273/5.

Know more about mathematical operations here:

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The domain of the given piecewise function are all the values that x can take.

These are:

x < -4 and

It can be written as:

The range is:

Given:

x=3 is the only solution for the given equation.

There is no other solutions for the given equation.

So none is the final answer.

We know that a function is greater than 0 when the graph of the function is above the x-axis.

Meaning that if the function is below the x-axis the function is taking negative values.

For that reason we can say that:

A) f(-2) is positive because the graph at that point is above the x-axis

B) the function is greater than 0 o values greater than -3 until 5, in interval notation it will be (-3,5]

c) We can say that the function is equal to 0 when x=-3 because at that point the graph is exactly crossing the x-axis

The number of diamond cards is 13.

The number of face card is 12.

There are 3 face cards which are of diamond.

Thus, total number of non-face diamond cards is 13-3=10.

Thus, the requred number of ways are =12+10=22.

Thus, option (C) is correct.

p = 400.00

r = 1% = 1/100 = 0.01

t = 3 years

Therefore,

After three years the amount will be = $412.12

We know that the proportion of the sides of a 30°-60°-90° triangle is:

The shorter leg is K, then:

Using this result, we can calculate the length of the longer leg:

The first step is to find the fuctions, f(x) and g(x)

Since function f(x) is represented by the curve, it's a quadratic function. The curve cuts the x axis at x = 2 and x = - 2. Thus, the factors are (x + 2) and (x - 2). The quadratic function would be

(x + 2)(x - 2)

= x^2 - 2x + 2x - 4

f(x) = x^2 - 4

Since the function g(x) is represented by a straight line, it is a linear function. We would represent the function in the slope intercept form which is expressed as

y = mx + c

where

m = slope

c = y intercept

To find slope, the formula is

m = (y2 - y1)/(x2 - x1)

From the given points,

when x1 = - 2, y1 = 0

when x2 = 2, y2 = 4

m = (4 - 0)/(2 - - 2) = 4/(2 + 2) = 4/4

m = 1

the y intercept is the value of y when x = 0. Thus, c = 2

The function is

g(x) = x + 2

To find (g o f)(x), we would substitute function f into function g. Thus,

gof(x) = x^2 - 4 + 2

gof(x) = x^2 - 2

To find gof(2), we would substitute x = 2 into gof(x). It becomes

gof(2) = 2^2 - 2 = 4 - 2

gof(2) = 2

The first choice is the correct answer.

It represents a linear function because its points are on a straight line

We are given that an item has a cost xx.

First, we will calculate the 35% discount on the total price. To do that we will subtract 35% of the initial cost from the initial cost

To calculate the 35% we multiply the price by 35/100, like this:

Now we subtract this from the initial price, which was "xx". Subtracting we get:

This is the cost with the discount. Now, we will add to this the tax of 7%. First, we calculate the 7% of the price with the discount by multiplying it by 7/100, like this:

Now, we add this to the price with the discount, like this:

Now, we can simplify. We start by using the distributive property on the second parenthesis:

Now we solve the product of 35/100 by 7/100, we get:

Now we take xx as a co

ANSWER:

120 feet

STEP-BY-STEP EXPLANATION:

We hve the following:

A = 10800 ft²

w = 90 ft

The area of a rectangle is the product between the length and the width, we do not know the length but we do know the area, therefore, we calculate the length as follows:

The length of your backyard is equal to 120 feet

In this question, we need to find the probability of pulling a red or brown candy from a bag.

We know that the bag contains the next amount of candies:

• 5 yellow candies

• 11 red candies

• 4 green candies

• 12 blue candies

• 7 brown candies

Therefore, in total, we have 39 candies.

Then the probability of pulling a red candy is:

The probability of pulling a brown candy is:

Now, we know that the general formula for the probability of two events is given by:

However, in this case, we do not have any probability that both events happen at the same time - in other words, they are mutually exclusive events. Therefore, we have:

Therefore, in summary, the probability that a red or brown candy is pulled from the bag is 18/39 (option A.)

Given

Santa is saving money for a new bike that costs $175.62. He already has $39.59.

Answer

Total money needed = 175.62 - 39.59 = $136.03

ANSWER

EXPLANATION

We want to write the inequality represented by the shaded region of the graph.

The boundary line of the graph is given as:

4x + 3y = -3

Let us put this in slope-intercept form:

=> 3y = -4x - 3

=> y = -(4/3)x - 1

Now that we have the equation in that form, we have to consider a few things:

=> The line used to represent the boundary line is a solid line. This means that the inequality we need has either a less than/equal to or a greater than/equal to sign.

=> The shaded region is on the left hand side of the boundary line. This means that the inequality represented is less than or equal to.

Therefore, the inequality represented by the shaded region is:

Both students followed the teacher's instruction. The addition property of equality states that if 2 numbers x and y are equal x=y, then, x+a=y+a.

In this case both students applied the property correctly. One of them added 9 to both sides of the equation and the other one added 2 to both sides.

The answer is yes, both followed the teacher's instruction.

Given

Procedure

The answer would be f(-1) = 3

Remember that

The Domain is the set of all the input values, which are the x-coordinate of each ordered pair (the first number in each pair).

The Range is the set of all output values, which are the y-coordinate of each ordered pair (the second number in each pair).

so

In this problem

The domain is the interval [-5,3)

The range is the interval [0,2]

Answer:

[tex]x=\arccos(1/3), 2\pi-\arccos(1/3)[/tex]

Step-by-step explanation:

[tex]6\cos x=2 \\ \\ \cos x=1/3 \\ \\ x=\arccos(1/3), 2\pi-\arccos(1/3)[/tex]

a) The temperature at Milwaukee by 6am is given to be -5 degree fahrenheit.

By noon, this temperature has risen to 13 degree fahrenheit, thus this implies;

Hence, the temperature at Milwaukee by noon will be 8 degree fahrenheit

b) Temperature in Winnipeg = -17 degree fahrenheit

Temperature in Orlando = 61 degree fahrenheit

Temperature in Winnipeg is lower than in Orlando implies;

Hence, the temperature in Winnipeg is 78 degree fahrenheit lower than in Orlando

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following expression:

In this case we can apply the binomial theorem, which is the following:

we replace and calculate for the first three terms: