I'm checking my son's homework Tina Nguyen help me with this

We have that the circumcenter is located at the intersection of the perpendicular bisectors of the sides if we have a circle circumscribing the triangle the enter of this circle will be the circumcenter of the triangle

therefore the correct answer is C.

Explanation

the Pythagorean theorem states that for all rigth triangles:

Step 1

so, we have two rigth triangles:

so,

It is clear that brand A has the lower unit price hence it is the better buy.

We know that the better buy has to do with the commodity that would give us the least unit price for the item. Hence we must have to look at the unit price of each of the items before we decide the better buy. The unit price is the price of only one spoon.

In the first case;

Unit price = $2.17/42 = $0.05

In the second case;

Unit price = $3.97/48

= $0.08

The brand that has a higher unit price here is Brand B.

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Answer: 60 degrees

The figure there is a parallelogram

< H = 2x + 60

< T = x + 30

Therefore, supplementary angles is 180 degrees

< H + < T = 180

2x + 60 + x + 30 = 180

Collect the like terms

2x + x + 60 + 30 = 180

3x + 90 = 180

3x = 180 - 90

3x = 90

Divide both sides by 3

3x/3 = 90/3

x = 30

Since < T = x + 30

Hence,

< T = 30 + 30

< T = 60 degrees

system equation is

y = 2x - 2

-4x - y = 26

we will be solving this equation simultaneously by using substitution method

y = 2x - 2 --------- equation 1

-4x - y = 26 ------- equation 2

substiute y = 2x - 2 into equation 2

equation 2 becomes

-4x - (2x - 2) = 26

-4x - 2x + 2 = 26

collect the like terms

-4x -2x = 26 - 2

x(-4 - 2) = 24

x(-6) = 24

-6x = 24

to find x, divide both sides by -6

-6x/-6 = 24/-6

x = 24/-6

x = -4

to find y put x = -4 into equation 2

-4x - y = 26

-4(-4) - y = 26

16 - y = 26

collect the like terms

-y = 26 - 16

-y = 10

divide both sides by -1

-y/-1 = 10/-1

y = -10

the answer is x= -4 and y = -10

Using elimination method for the following equation

5x + y = 24

-5x - 4y = -56

in elimination method, you need to eliminate one of the variables before you can get the other variable

so let us eliminate x first

5x + y = 24

-5x -4y = - 56

since the second equation have a negative value of 5x then, we need to sum up the two equations to eliminate x

5x + (-5x) + y +(-4y) = 24 + (-56)

0x + y - 4y = 24 -56

-3y = -32

divide both sides by -3

-3y / -3 = -32/-3

y = 32/3

The answer is 32/3

The scale factor is a factor that affects coordinate x and y of all the points in an image, using one of the points of th preimage and the image we can find the realtion between both

if we analyse this the scale factor is 2, since both x and y coordinate are doubling the pre image.

Also if we analyse the other 2 points the same happens.

Answer:

The scale factor is a factor that affects coordinates x and y of all the points in an image; using one of the points of the preimage and the image, we can find the relation between both

If we analyze this, the scale factor is two since both the x and y coordinates are doubling the pre-image.

Also, if we analyze the other 2 points, the same happens.

Step-by-step explanation:

Area of a rectangle: length*width

Replacing with Area = 20 and width = 4:

20 = lenth*4

4 is multiplying on the right, then it will divide on the left

20/4 = length

5 meters = length

We have the next information:

1/10 of the T-shirts sold were size extra

1/8 were extra small

Now, we need to find which fraction represents a higher number.

Convert to decimal each fraction:

and

Hence, 1/8 is greater than 1/10. So, more extra small tshirts were sold.

Given

mean = 26.7 mpg

standard deviation =7.2 mpg

Find

a) what percent of compact cars( for this brand) have a fuel economy greater than 26.7 mpg

b) What is the z-score( or standard score) for fuel economy of 25 mpg

c) find the probability that a random selected new compact ( from this brand) has a fuel economy less than 25 mpg.

Explanation

a)

mean = 26.7 mpg

standard deviation =7.2 mpg

P(X > 26.7) =

b)

c)

Final Answer

a)

b)

c)0.40905

Consider that trapezoid is a type of quadrilateral, which has one pair of opposite sides unequal but parallel, and the other pair of opposite sides are non-parallel.

Now, read the options carefully. We have to mark the option that is always true for a trapezoid.

Option A:

It is not necessary for a trapezoid to have both pairs of opposite sides as parallel. Only one pair being parallel is required for a quadrilateral to be a trapezoid.

Option B:

As discussed above, the statement is correct for every trapezoid.

Option C:

This is not a necessary condition for a trapezoid. There exist some trapezoids that don't have the opposite angles congruent.

Option D:

Again, this is not a necessary condition for a trapezoid. Since one pair of sides is non-parallel, the other pair must be unequal.

Therefore, it can be concluded that option B is the correct choice.

The formula for rotation 270° counterclockwise is: A(x,y) ---> A'(y,-x)

If the point is A(-5,2) then the answer would be: A'(2,-(-5)) = A'(2,5) after rotating 270° counterclockwise.

ANSWER

f(1) = 8

EXPLANATION

In this problem, we have to evaluate the function f(t) in t = 1. To do so, substitute t with 1 in the equation, and solve,

Hence, f(1) = 8.

ANSWER

3

EXPLANATION

To answer this question we can make a Venn diagram. Each circle will represent the people who like dolphins and the people who like polar bears. We know that 3 people like both, so there are 3 people in the area shared by both circles. If 6 people like dolphins and 6 like polar bears, knowing that already 3 people are in the area shared by both circles, in the individual area of each circle there will be 3 people:

So, we can see that there are 3 people out of the 6 that like dolphins that also like polar bears.

Hence, there are 3 people that like dolphins but not polar bears.

Too Fly For You, this is the solution:

• Race route in reality = 3 + 2 + 3 + 2 = 10 kilometers

• Race route ion poster = 8 inches * 20 = 160 inches

• 160 inches divided by 12 = 13.33 feet

Rounding to the next tenth of a feet = 13.3

Solution

Given 18,20,18,2,7

The variance formula is given as;

Let's solve for t, the following equation:

H = 1/2gt^2 + v0t

Using the quadratic formula, we have:

t = - (v +/- √v² + gh)/g

From the graph, the suitable inequality is

The translation from f(x) to g(x) is a translation of 4 units up (option A)

Given:

Graph of f(x) =(1/2)^x ang g(x)

To find:

the transformation from f(x) to g(x)

To determine this, we will pick points on the x-axis and compare the result on the y axis for both graphs

when x = 0

f(x) = 1

g(x) = 5

The difference in value = 5 - 1 = 4

when x = 5

f(x) = 0

g(x) = 4

The difference in value = 4 - 0 = 4

We see the difference in value for the y is constant. This means to get g(x), we will add 4 units to the y coordinates of f(x)

The translation from f(x) to g(x) is a translation of 4 units up (this is because the value of y is positive and on the graph g(x) moves above f(x) on the vertical)

Given the graph of the function y = h(x) as shown below

From the plot, it's observed that h increases at the interval as shown below

Thus, h is increasing at the intervals

Given:

The system of equations is,

First, find the points on both lines to draw the graph of the line.

Then find the point of intersection of the line.

And,

The graph is,

As the point of intersection is (-10,4).

The solution of the given system of equation is x = -10 and y =4

Answer:

• (a)The radius of the cone is 8cm.

• (b)The base area of the cone is 200.96 cm².

• (c)The volume of the cone is 1004.8 cm³.

Explanation:

(a)Radius

Using the right triangle above, we find the radius of the cone using the Pythagorean theorem.

The radius of the cone is 8cm.

(b)Base Area of the cone

The base of the cone is a circle.

In part(a), the radius of the circle was found to be 8 cm.

The base area of the cone is 200.96 cm².

(c)Volume of the cone

The volume of a cone is calculated using the formula:

Substitute the values: π=3.14, h=15cm, r=8cm

The volume of the cone is 1004.8 cm³.

Given the below expression;

We're asked to evaluate for r = 4, s = -4 and t = 6, all we need to do is substitute the given values of r, s and t into the expression above;

Let's go ahead and clear the brackets and solve;

Therefore, our answer is -88.

you can evaluate a percentage like follow.

the 16% of 575 is 0.16(575)=345

the 102% of 250 will be 750

The Identity Property of multiplication is a property that states that there exist a number such that when you multiply it to second number, the product is still the second number.

The product of 1 and any number is that number.

(a) Let the total cost of renting a company truck = C

Let the drive unit per miles = d

Hence the formular = C(d) = $36.95 + 0.7d

(b) If the truck was driven for 45 miles, then the Cost of renting a company truck

(c) Suppose you have a $100 budget the move, the

If the truck was driven with that budget then the further distance covered by the truck is

step 1

we have the equation

y=7x

This is the equation of a line that passes through the origin (0,0)

To graph a line we need at least two points

so

assume any value of x and then calculate the value of y

For x=2

y=7(2)=14

the second point is (2,14)

step 2

Graph the line

Plot the points (0,0) and (2,14)

join them to graph the line

using a graphing tool

see the figure below

Given:

The initial money = $3000

Rate = 4.7% = 0.047

Frederick doesn't want to pay more than $423 in interest.

So, we need to find the number of years

Assume simple interest rate:

so, the number of years = 3 years

We are given the slope m=-1 and the point (0,-2)

The point-slope form of the line is:

y - k = m(x - h)

Substituting:

y - (-2) = -1(x - 0)

Operating:

y +2 = -1(x - 0)

This was the point-slope form of the line

Rewriting in slope-intercept forn:

y +2 = -x

Subtracting 2:

y = -x - 2

That is the slope-intercept form of the line

The equation for a straight line can be found if its slope and coordinate of the point it passes through is given. The equation for the given graph is c = 60w. The correct answer is option C.

A straight line can be written in the form of equation as, y = mx + c.

Two straight lines intersect each other only at one point.

When two straight lines are parallel to each other the angle between them is zero.

Given that,

The cost of food delivery is taken as c.

The number of weeks is w.

Since the graph given in the problem is a straight line, in order to find its equation its slope has to be found as follows,

From the graph, it is clear that at w = 2, c = 120.

Now, there are two points for the given straight line as (0, 0) and (2, 120).

Thus, the slope is given by (120 - 0) / (2 - 0) = 60

Then the equation for the straight line is,

(c - 0) / (w - 0) = 60

=> c = 60w

Hence, the equation of the given graph is c = 60w.

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To transform a percentage to a simple fraction we divide the number by a 100, then we have:

Therefore 48% in simple fraction is equal to 12/25