find the measure of angles 2, 3, and 4. input the measures then click done. i-ready

please help i missed a day of class i cant figure this out

Find The Measure Of Angles 2, 3, And 4. Input The Measures Then Click Done. I-readyplease Help I Missed

Answers

Answer 1

Answer:

m∠2 = 95°

m∠3 = 85°

m∠4 = 95°

Step-by-step explanation:

Vertical Angle Theorem:

When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

Therefore,

m∠3 = 85°

m∠2 = m∠4

Linear pair:

Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.

Therefore,

85° + m∠2 = 180°

m∠3 + m∠4 = 180°

If  85° + m∠2 = 180°

⇒ m∠2 = 180° - 85°

m∠2 = 95°

As  m∠2 = m∠4  then  m∠4 = 95°


Related Questions

In this figure, the coordinates of the vertices of quadrilateral PARK are (5, 5), (5, 1), (-2, 1), and (0, 5) respectively. The corresponding coordinates of the vertices in the image are (-10, -10), (-10, -2), (4, -2), and (0,-10). Which of the following statements is true? A. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a dilation. B. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a reflection and a dilation. C. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a translation and a reflection. D. Quadrilateral P’A’R’K’ is the image of quadrilateral PARK after a rotation and a translation.

Answers

Answer:

B

Step-by-step explanation:

Answer:

The other personis wrong its answer A: a rotation and a dilation.

Step-by-step explanation:

I mean its kind of self explanatory but i hope it helps.

i got a 100% on my quiz with this question btw.

7 3/5 - 6 3/5
Pls help i can't do dis math

Answers

Step-by-step explanation:

[tex] = 7 \times \frac{3}{5} - 6 \times \frac{3}{5} \\ = \frac{7 \times 5 + 3}{5} - \frac{6 \times 5 + 3}{5} \\ = \frac{38}{5} - \frac{33}{5} \\ = \frac{38 - 33}{5} \\ = \frac{5}{5} [/tex]

Now convert into lowest term

[tex] \frac{1}{1} [/tex]

1/1 is the answer ....

There are 150 boys and girls playing in the soccer tournament.50 of the students are wearing red.what percent of the of players are wearing red.

Answers

Answer:

1/3 or 33%

Step-by-step explanation:

You can first do: 50/150

Which is 5/15 simplified

And do the quick math:

1/3 or 33%

In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Eli sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
314 visitors purchased no costume.
68 visitors purchased
exactly one costume.
17 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a fraction in simplest form.
Answer:
Submit Answer
attempt 2 out of

Answers

The probability that the next person will purchase exactly one costume is given by: 68/399

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The total number of visitors to the website is 314 + 68 + 17 = 399.

Out of these 399 visitors, 68 purchased exactly one costume.

Therefore, the probability that the next person will purchase exactly one costume is given by:

68/399

This fraction cannot be simplified any further, so the final answer is:

68/399.

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If you roll a dice 500 times how many times do you expect to get a 5?​

Answers

Answer:

20

Step-by-step explanation:

60%

candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40 cents per pound. How many pounds of each of the two types of candy are in the mix?

Answers

Answer:

20 lb of 31 cent candy, 30 lb of 46 cent candy

Step-by-step explanation:

sorry don't have one

here is a smiley face for you

:D

The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume the separate weights of each type of candies to be represented by variables.

Let we have:

x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.y = weight (in pounds)  of second type of candy whose cost is 46 cents per pound.

x pounds of first type of candy is mixed with y pounds of second candy.

The weight of the mixture = x + y = 50 pounds

The cost of the mixture = 40 cents per pound  = [tex]40 \times 50 = 2000[/tex] cents

Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = [tex]31x + 46y[/tex]
Thus, we get [tex]31x + 46y =2000[/tex]

Therefore, we got a system of two linear equations as:

[tex]x +y = 50\\31x + 46y =2000[/tex]

From first equation, we get:

[tex]x = 50 -y[/tex]

Substituting this value in second equation, we get:

[tex]31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30[/tex]

Putting this value of y in equation for x, we get:

[tex]x = 50-y = 50-30 = 20[/tex]

Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

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Answer: the largest angle has a measure of _____ degrees.

Answers

Answer:

the largest Angle has a measure of 360 degrees

250 lottery tickets were sold and there are 5 prizes on these ticket if Kunal has purchased one lottery ticket what is the probability that he wins a prize​

Answers

Total number of tickets sold = 250

Number of prizes = 5

Number of favorable outcomes = 5

[tex]P(A)= \frac{no. of possible outcomes}{No. of total outcomes} [/tex]

[tex]P (getting \: a \: prize) = \frac{5}{250} =\frac{1}{150}[/tex]

Consider the polynomial function g(x) = 8x5 + ax4 + 5x + 20, where a is an unknown real number. If (x+4) is a factor of g(x), what is the value of a?

Answers

[tex]g(x) =8x^5 + ax^4 +5x +20 \\\\\text{If}~ x +4 ~ \text{is a factor of g(x) then,}~ \\\\g(-4)=0\\\\\implies 8(-4)^5 +a(-4)^4+5(-4) +20 = 0\\\\\implies 256a -8192 = 0\\\\\implies a = \dfrac{8192}{256} = 32[/tex]

help is super appreciated this should probably be fast
2. Determine the y – intercept, zeros, the equation of the axis of symmetry and vertex of each quadratic
relation.
y = (x − 3)(x+3)

Answers

[tex]\\ \rm\rightarrowtail y=(x-3)(x+3)=x^2-9[/tex]

Zeros are x intercepts

(3,0) U(-3,0)

#2

Y intercept=-9

#3

Axis of symmetry=x=0

#4

Vertex=(0,-9)

Answer:

Given quadratic equation:  y = (x - 3)(x + 3)

Zeros (x-intercepts)

The zeros of a quadratic equation are the points where the graph of the quadratic equation crosses the x-axis.  So the x-intercepts (zeros) are when y = 0

⇒ (x - 3)(x + 3) = 0

⇒ (x - 3) = 0  so  x = 3

⇒ (x + 3) = 0  so  x = -3

Therefore, the x-intercepts are at (3, 0) and (-3, 0).

y-intercept

The y-intercept is the point where the graph crosses the y-axis.  So the y-intercept is when x = 0

⇒ (0 - 3)(0 + 3) = -9

Therefore, the y-intercept is at (0, -9)

Vertex

Expand the equation so that it is in standard form y = ax² + bx + c:  

⇒ y = x² - 9

x-value of vertex is -b / 2a ⇒ -0 / 2 = 0

substitute the found value of x into the equation to find y:

⇒ y = (0)² - 9 = -9

Therefore, the vertex is (0, -9)

Axis of symmetry

Axis symmetry of a quadratic equation is x = a where a is the x-value of the vertex.

Therefore, the axis of symmetry is x = 0

Find the midpoint of AB A(-1,2) B(0,-14)

Answers

Answer:

given ,

two points A ( -1 , 2 ) and B ( 0 , -14 )

to find - coordinates of midpoint of A and B

______________________________________

[tex]\fbox\pink{Solution -}[/tex]

let the midpoint be P ( x , y )

using midpoint formula ,

[tex]P(x,y) = ( \frac{ x_{1} + x_{2} }{2} , \frac{ y_{1} + y_{2} }{2} ) \\ \\ P(x,y) = ( \frac{ - 1 + 0}{2} , \frac{2 + ( - 14)}{2} ) \\ \\ (x,y) = ( \frac{ - 1}{2} , \frac{ - 12}{2} ) \\ \\ x = \frac{ - 1}{2} \\ \\ y = \frac{ - 12}{2} => - 6[/tex]

thus ,

the coordinates of the midpoint are

[tex]\red{P( \frac{ - 1}{2} , - 6)} \\ \\ or \\ \\ \red{P( -0.5 , - 6 )} [/tex]

hope helpful :D

Answer:

Step-by-step explanation:

A(-1,2)  x₁ = -1  &  y₁ = 2

B(0 ,-14)   x₂ = 0  & y₂ = -14

[tex]\text{ \sf Midpoint = $\left(\dfrac{x_{1}+x_{2}}{2} ,\dfrac{y_{1}+y_{2}}{2}\right)$ }[/tex]

              [tex]= \left (\dfrac{-1+0}{2} ,\dfrac{2+[-14]}{2} \right) \\\\\\=\left(\dfrac{-1}{2}, \dfrac{-12}{2}\right)\\\\\\=\left( -0.5 , -6 \right)[/tex]

Choose the correct graph of the function y=2√x.

Answers

Answer:

[D]

Step-by-step explanation:

Graph using the end point and a few selected points.

x          y

0          0

1          2

2     2.83

Graph also below:

[RevyBreeze]

Determine whether the given value is a solution of the equation.

Answers

Answer:

Is a solution

Step-by-step explanation:

Just do the division [tex]\frac{52}{13}[/tex]

Yes it is a solution.
Substitute b = 52 in the equation,
52/13=4
4= 4
The equation is justified. So b =52 is the solution

Find the equation of the line passing through the given point and
PARALLEL to the given equation. Write your answer in slope intercep
form. (xX_PARALLEL_Xx) *
(5,3) and y = x + 4

Answers

Answer:

y= x -2

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept

Given equation: y= x +4

This equation is already in the slope-intercept form, thus its slope can be found from the coefficient of x.

Slope= 1

[tex]\textcolor{steelblue}{\text{Parallel lines have the same slope.}}[/tex]

Slope of unknown line= 1

Substitute the m= 1 into y= mx +c:

y= x +c

To find the value of c, substitute a pair of coordinates the line passes through into the equation.

When x= 5, y= 3,

3= 5 +c

c +5= 3

c= 3 -5

c= -2

Thus, the equation of the line is y= x -2.

When asked to factor the trinomial 4x^2 + 12x + 9, a student gives the answer (2x - 3)(2x - 3). What is one thing wrong with this answer?

A. There is nothing wrong with the answer

B. The minus signs should be plus signs

C. 4 is also a factor of this trinomial

D. The factors are not simplified

Answers

The one thing wrong with the answer is option B. The minus signs should be plus signs.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given quadratic is 4x²+12x+9

Taking common 4

4(x²+3x) + 9

=4(x² + 3x + 9/4) + 9 - 9

=4(x + 3/2)²

=(2x+3)²

=(2x+3)(2x+3)

So, the minus sign must be a plus sign. option B is correct.

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Kala drove 603 miles in 9 hours at the same rate how many miles would she drive in 12 hours

Answers

Answer:

804

Step-by-step explanation:

603/9 x 12

67 x 12

804

Answer:

804 miles in 12 hours

Step-by-step explanation:

603/9 which = 67

67*12 which equal 804

don't forget the unit (mph)

Use the given parent function f(x)=|x| to graph g(x)=|x+2|−4. Use the ray tool and select two points to graph each ray.

Answers

Answer:

g(x) is the translation of f(x) 2 units to the left and 4 units down

Approximate the temperature of the water after 6 intervals

Answers

obviously 56%*f degrees fare height

If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?

Answers

Answer:

76%

Step-by-step explanation:

Given:

If 24% of the Skittles in the bag are red, what percentage of the Skittles are not red?

Solve:

Percent - Out of 100

100 - 24 = 76

Hence, 76% of the skittles are not red.

~~Lenvy~~

Answer:

76% are not red

Formula:

(Total Skittle %)-(Red Skittle %)=(Non-Red Skittle %)

Work:

100%-24%=76%

What is the area of the blue shaded region in the figure?

Answers

Answer:

B. 90 in²

Area of white triangle

3×4/2

12/2 = 6 in²

Area of blue triangle

12×16/2

192/2= 96in²

96in² - 6in² = 90 in²

what is the area of the regular hexagon

Answers

Answer:

720

Step-by-step explanation:

n*180

n

the answer is 720

Solve and verify your answer.
A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 24 days. However, if no
sewage is added, waste removal will empty the pool in 32 days. How long (in days) will it take the two inlet pipes to fill an empty pool

Answers

Answer:

' =9 93/107 days

Step-by-step explanation:

1/11+1/24

one day =35/264

35/264 -1/32

=107/ 1056- fraction of rem in a day

1 day= 107/1056

x = 1

=107/1056x=1

x=1÷107/1056

1056÷107

=9 93/107 days

Two times the quantity of a number increased by one is the same as four more than the same number. Find the Number.

Answers

The unknown number which is two times the quantity of a number increased by one is the same as four more than the same number be is 3

How to write and solve equation?

let

x = unknown number

2x + 1 = 4 + x

collect like terms

2x - x = 4 - 1

solve

x = 3

Therefore, the unknown number is 3

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Part 014 The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is 1.4% of the average daily balance. Calculate parts a-d using the statement in the popup Click the icon to view the credit card statement a Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $ (Round to the nearest cent as needed.)

Answers

The average daily balance of the transactions given for the billing period will be $1798.

How to calculate the average daily balance?

From the complete question, the average daily balance is completed below:

Billing date = 2645.92 × 5 = $13229.6

Repayment on June 6 = $1345.92 × 2 = $2691.84

June 8 = $1381.85

June 9: = $1518.53 × 8 = $12148.24

Gas = $1560.90

Groceries = $1687.37 × 10 = $16873.70

Clothing = $1902.49 × 4 = $7609.96

Total = $53935.19

Therefore, the average daily balance will be:

= $53935 / 30

= $1798

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Find all the common factors of 9 and 15.
A) 1, 3
B) 1, 3, 9
C) 1, 3, 5, 9

Answers

Answer:

A common factor is a whole number which is a factor of two or more numbers.

[tex]factors \: of \: 9 = 1 \times 3 \times 3[/tex]

[tex]factors \: of \: 15 = 1 \times 3 \times 5[/tex]

since both of the numbers have only 1 and 3 in common.

therefore ,

Option A is correct.

______________________________________

______________________________________

Additional information

★ The highest common factor (HCF) is the greatest factor that will divide into two or more numbers.

★ The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.

hope helpful :D

The quotient of seven and a number added to ten

Answers

Answer: 3

Formula: 21/7=3 3+7=10

When a system contains the equations of two parabolas, there can only be one solution.

True or False

Answers

It should be false it would come out with more then one solution
False, there can be 0, 1, or 2 solutions depending on how many points they intersect

Let R be the shaded region bounded by the graphs of y = e^x, y = -1, x = 1, and the y-axis. R is the base of a solid with cross sections perpendicular to the x-axis as squares. Find the volume of the solid.

Answers

Answer:

get a graphing caculator and type the numbers in the rectangle and see what you get

Step-by-step explanation:

You have four $20 bills, ten $5 bills, and twelve $1 bills in your wallet. If you reach into your wallet twice, what is the probability that you will pull out a $1 bill the first time and a $5 bill the second time?

Answers

Answer:

2/28 ?

Step-by-step explanation:

if I'm wrong so sorry

The volume of a sphere whose diameter is 18 centimeters is _ cubic centimeters. If it’s diameter we’re reduced by half, it’s volume would be _ of its original volume

Answers

Answer:

First Part

Given that

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

We have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{Diameter}{2})^{3} = \frac{4}{3} \pi 9^{3} = 972\pi cm^{3} \approx 3053.63 cm^{3}[/tex]

Second Part

Given that

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

If the Diameter were reduced by half we have that

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi (\frac{r}{2}) ^{3} = \frac{\frac{4}{3} \pi r^{3}}{8}[/tex]

This shows that the volume would be [tex]\frac{1}{8}[/tex] of its original volume

Step-by-step explanation:

First Part

Gather Information

[tex]Diameter = 18cm[/tex]

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

Calculate Radius from Diameter

[tex]Radius = \frac{Diameter}{2} = \frac{18}{2} = 9[/tex]

Use the Radius on the Volume formula

[tex]Volume = \frac{4}{3} \pi r^{3} = \frac{4}{3} \pi 9^{3}[/tex]

Before starting any calculation, we try to simplify everything we can by expanding the exponent and then factoring one of the 9s

[tex]Volume = \frac{4}{3} \pi 9^{3} = \frac{4}{3} \pi 9 * 9 * 9 = \frac{4}{3} \pi 9 * 9 * 3 * 3[/tex]

We can see now that one of the 3s can be already divided by the 3 in the denominator

[tex]Volume = \frac{4}{3} \pi 9 * 9 * 3 * 3 = 4 \pi 9 * 9 * 3[/tex]

Finally, since we can't simplify anymore we just calculate it's volume

[tex]Volume = 4 \pi 9 * 9 * 3 = 12 \pi * 9 * 9 = 12 * 81 \pi = 972 \pi cm^{3}[/tex]

[tex]Volume \approx 3053.63 cm^{3}[/tex]

Second Part

Understanding how the Diameter reduced by half would change the Radius

[tex]Radius =\frac{Diameter}{2}\\\\If \\\\Diameter = \frac{Diameter}{2}\\\\Then\\\\Radius = \frac{\frac{Diameter}{2} }{2} = \frac{\frac{Diameter}{2}}{\frac{2}{1}} = \frac{Diameter}{2} * \frac{1}{2} = \frac{Diameter}{4}[/tex]

Understanding how the Radius now changes the Volume

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

With the original Diameter, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{2}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{2^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{2 * 2 * 2} = \frac{4}{3}\pi \frac{Diameter^{3}}{8}\\\\[/tex]

If the Diameter were reduced by half, we have that

[tex]Volume = \frac{4}{3}\pi (\frac{Diameter}{4}) ^{3} = \frac{4}{3}\pi \frac{Diameter^{3}}{4^{3}}\\\\ = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 4 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{4 * 2 * 2 * 4} = \frac{4}{3}\pi \frac{Diameter^{3}}{8 * 8} = \frac{\frac{4}{3}\pi\frac{Diameter^{3}}{8}}{8}[/tex]

But we can see that the numerator is exactly the original Volume!

This shows us that the Volume would be  [tex]\frac{1}{8}[/tex] of the original Volume if the Diameter were reduced by half.

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