In the figure, b and c are parallel lines. Which of the following statements are true?

1.Joe claims the measure of angle 3 is equal to 90 degrees.Is he correct?why or why not
2.state the measure of angle 5 and how you know

Thank you!

Answer: A

Step-by-step explanation:

The diameter of the bacterium is 10 times greater than that of the virus.

The statement that accurately and precisely compares the sizes of the specimens can be seen in the first option.

A Superscript is used for the representation of a power at which a number is being raised to. In essence, if we have [tex]a^n[/tex];

From the given information;

We should note that as the exponent increase by -1, it takes an addition [tex] \mathbf{\dfrac{1}{10}=10^{-1}} [/tex]

Therefore, we can say that the diameter of the bacterium is 10 times greater than that of the virus.

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Answer:

72

Step-by-step explanation:

because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72

Answer:

144

Step-by-step explanation:

................

Answer:

A. 144

Step-by-step explanation:

as the question says, the pattern is going by multiple of two. 9 * 2 is 18, 18 * 2 is 36, 36 * 2 is 72, 72 * 2 must be 144.

Answer:

b

Step-by-step explanation:

The difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].

The given parameters:

[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}[/tex]

The difference between the two fractions is calculated as follows;

[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}\\\\= \frac{x + 5}{x + 2} - \frac{x+ 1}{x(x + 2)}\\\\[/tex]

The lowest common multiple (L.C.M) of the two denominators = x(x + 2)

[tex]= \frac{x(x + 5) - (x + 1)}{x(x + 2)} \\\\= \frac{x^2 + 5x - x - 1}{x^2 + 2x} \\\\= \frac{x^2 + 4x - 1}{x^2 + 2x}[/tex]

Thus, the difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].

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Answer:

Hi there!

The following answers are:

14: to determine whether or not the slopes are perpendicular to one another is the negative reciprocal. In other words, if the first slope is m, the perpendicular slope is -1/m

to determine whether or not the slopes are parallel, the slopes are the same. In other words, if the first slope is m, then the parallel slope is m

So in other words: 1. perpendicular 2. neither 3. perpendicular 4. parallel

15: There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

16: Dilation is the transformation that changes the size of a figure.

Answer:

13. It says 13c so I am thinking there was 13a and 13b so I can't really answer that.

14.

 1. perpendicular.

  2.parallel.

  3. neither.

  4. parallel.

15. rotation, reflection, glide reflection and translation.

16. dilation.

Step-by-step explanation:

#14 you just need to use numbers to figure it out. for example 1. lets say the starting point is (0,2) m=3     you will go 3 squares up and one square right and end up at   (5,1)  but where for m=-1/3 you will go 1 square down and three squares right. You can do this until you have lines and see from the image you get whether it is perpendicular, parallel or neither.

#15 and 16 this are what I think are the answers but try checking it out online too. You might find the answers you are looking for there.

Answer:

[tex]y = - \frac{5}{3} x + 12[/tex]

Step-by-step explanation:

First, rewrite the given equation in the form of y=mx+c.

m is the gradient while c is the y-intercept.

3x-5y=8

5y= 3x -8

[tex]y = \frac{3}{5} x - \frac{8}{5} [/tex]

Thus, the gradient of the given equation is ⅗.

The product of the gradients of perpendicular lines is -1.

(gradient of line)(⅗) = -1

gradient of line= -1 ÷⅗

gradient of line= [tex] - \frac{5}{3} [/tex]

[tex]y = - \frac{5}{3} x + c[/tex]

To find the value of c, substitute a coordinate.

When x=3, y=7,

[tex]7 = - \frac{5}{3} (3) + c[/tex]

7= -5 +c

c= 7+5

c= 12

Hence, the equation of the line is [tex]y = - \frac{5}{3} x + 12[/tex].

Answer:

i think its 4.3555556

(not 100% sure)

Step-by-step explanation:

The measure of DF​ is 100°.

Two triangles are congruent if they satisfy the 5 conditions of congruence. They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

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Answer:

1000cm^3

Step-by-step explanation:

capacity=base area times height, convert litres to cm^3,1000cm^3=1l,equate Base area=capacity/height (70000/70)=1000

Step-by-step explanation:

Basically 15x<30 is saying that 15x is less that 30. So that means x can be any number as long as when multiplied to 15 it has to be less then 30. So they only number available is 1. So 15(1)<30. Im not sure what the question is but X=1

Answer:

x < 2 or (-∞,2)

Step-by-step explanation:

Treat the inequality sign like an = sign at this point. Don't make it more complicated than it really is. So, to figure it out, you first need to divide each side by 15 so you can get x all by itself:

[tex]\frac{15x}{15} < \frac{30}{15}[/tex]

Now we have:

x < [tex]\frac{30}{15}[/tex]

We know (using simple math) that 30 divided by 15 is 2, which gives us:

x < 2.

In interval notation, this would be (-∞,2). [Remember that the parentheses show that the interval does NOT include the specified numbers, which is what < denotes in our equation.] Hope this helped!

Answer:

B

Step-by-step explanation:

6.5ft I'm sure that's the answer

Answer:

Hi there!

The correct answer is: (0,1) maximum

Step-by-step explanation:

vertex: the point where the parabola crosses its axis of symmetry.

when the graph is concave down, maximum

when the graph is concave up, minimum

Answer:

Coordinates of the vertex: (0, 1), and it is a maximum.

this corresponds to the second of the listed answer options.

Step-by-step explanation:

Notice that the vertex of the parabola is at the very top of the curve, and corresponds to the maximum value that the coordinate "y" can reach for the parabola (y = 1)

The position of that vertex is exactly at the point where x = 0 and y = 1, so this can be written as:

(0, 1)

Answer:

Step-by-step explanation:

9x + 25 = 88

9x = - 25 = 88

9x = - 63         (divide both sides by 9)

x = - 7

CHECK:

9x + 25 = 88

9 (-7)  = 88 - 25

- 63 = - 63

Answer:

To find the complement of an angle x, subtract x's measurement from 90 degrees: 90 degrees - x degrees = the measure of x's complementary angle. To find the supplement of an angle y, subtract y's measurement from 180 degrees: 180 degrees - y degrees = the measure of y's supplementary angle.

Step-by-step explanation:

Answer:

4(x+3) -3 (x+2)

Step-by-step explanation: I hope that helps :)

Answer:

13 - 5x

Step-by-step explanation:

5-2(3x-4)+x

Final result:

 13 - 5x

Step by step solution:

Step 1:

Equation at the end of step 1:

(5 -  2 • (3x - 4)) +  x

Step  2:

Final result :

 13 - 5x

Answer:

D

Step-by-step explanation:

r = 5 units

[tex]Volume=\frac{4}{3}\pi r^{3}\\\\ =\frac{4}{3}\pi (5)^{3}\\[/tex]

Answer:

im pretty sure its C (2/3, 0) actually

Answer: 1/4 + x = 2/3

Step-by-step explanation:

One fourth is written as 1/4, more than is an addition sign, a number means “x”, is equal means = (equal sign), and two thirds is written as 2/3

Answer:

[tex]x + \frac{1}{4} = \frac{2}{3}[/tex]

Step-by-step explanation:

The statement "One-fourth more than a number is equal to two-thirds" can be expressed in the mathematical form as given below:

Let the number be x.

Therefore, One-fourth more than a number = [tex]x + \frac{1}{4}[/tex]

Now,

[tex]\huge \red{\boxed{x + \frac{1}{4} = \frac{2}{3}}}[/tex]

This is the required answer.

Answer:

2

Step-by-step explanation:

7x - 2x = 13 - 3

5x = 10

x = 2

Answer:

Start by subtracting 2x from both sides

5x + 3 = 13

then subrtact 3 from both sides

5x = 10

divide both sides by 5 and you get

x=2

Answer:

A box and whisker map is a diagram that shows details from a five-part description. It is also called a boxplot. There was an mistake. This form of diagram demonstrates the structure, core importance and volatility of the distribution.

Step-by-step explanation:

Hope this helps

Answer:

B

Step-by-step explanation:

The statement describes the data is " There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold". Option B is correct.

Generally, a scatter plot is simply defined as a collection of dots drawn on two axes, horizontal and vertical.

In conclusion, observing a scatter plot of the relationship between the outside temperature and the number of cups of hot chocolate sold at an event, we see There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.

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Answer: d=  negative 3.03

Step-by-step explanation:

Answer:length is 24

Step-by-step explanation:

get the total units made:

170 + 165 + 149 + 157 + 181 = 822 units.

Multiply by pay:

822 x 0.12 = $98.64

Answer:

4th choice

Step-by-step explanation:

Volume of cylinder: 2(pi)r^2+2pi(r)h

Answer:

The last one

Step-by-step explanation:

SA

=

2

π

r

h

+

2

π

r

2

Answer:

Since there is one peak, we can call this unimodal. As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar

40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A histogram is a bar graph-like representation of data that buckets a range of classes into columns along the horizontal x-axis.

The vertical axis  was represented by number of school students.

The horizontal axis is represented by number of texts.

The As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar

At 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students

Hence, 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.

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Answer:

which one is the one u need help on

Answer: V ≈ 4309.5 ft³

Step-by-step explanation: To get the answer to this word problem all we have to do is multiply height * thickness * width.

First, let's turn 6 [tex]\frac{1}{2}[/tex] into a decimal...

1 ÷ 2 = 0.5

6 [tex]\frac{1}{2}[/tex] = 6.5

6.5 * 3 * 13 = 253.5

Now, we have to multiply it by the remaining amount of stones...

253.5 * 17 = 4309.5

V ≈ 4309.5

I hope this helps!

Answer:

(x−4)^2+(y−1)^2=25

Step-by-step explanation:

Answer:

he is using it correctly

Step-by-step explanation:

he is using it correctly because the bottom line of the angle matches with the 0° line on the protractor.