Mathematics High School

find the measure of angle R

please help!

Answers

Answer 1

Answer:

Step-by-step explanation:

The shape is 5 sides polygon.

Sum of interior angles of a 5 sided polygon = 540,

7x + 4 + 8x + 3 + 4x + 8 + 10x - 4 + 6x + 4 = 540

7x + 8x + 4x + 10x + 6x + 4 + 3 + 8 + 4 - 4 = 540

35x + 4 + 3 + 8 = 540

35x + 15 = 540

35x = 540 - 15

35x = 525

Divide 35 on both sides,

x = 525 / 35

x = 15

Angle R = 4x + 18

Substitute the value of x,

Angle R = 4 ( 15 ) + 8

= 60 + 8

Angle R = 68

Related Questions

6
Mr. Jones determined that the equation y = 98 - 15 x could be used to predict his
students' unit test scores, based on the number of days, x, a student was absent
during the unit. What is the meaning of the y-intercept of the function?

A. A student who was not absent during the unit should score about 98.

B. A student who was not absent during the unit should score about 94.5.

C. A student's test score should increase by about 3.2 points for each day the
student is absent.

D. A student's test score should decrease by about 3.2 points for each day the
student is absent.

Answers

A. A student who was not absent during the unit should score about 98.

Find the measurement of the missing angle of this quadrilateral.

Answers

Answer:

x= 81°

Step-by-step explanation:

the interior angles of a quadrilaterial add up to 360°

143+80+56+x=360

condense left side: 279+x=360

isolate x: 279-279+x=360-279

x= 81°

What is the probability that a five-card poker hand contains exactly one ace?.

Answers

The probability of selecting exactly one ace is its likelihood

The probability that a five-card poker hand contains exactly one ace is 29.95%

How to determine the probability?

There are 4 aces in a standard deck of 52 cards.

The probability of selecting an ace would be:

p = 4/52

Also, there are 48 non-ace cards in the standard deck

So, the probability of selecting a non-ace after an ace has been selected is:

p = 48/51

The probability of selecting a non-ace up to the fifth selection are:

After two cards have been selected is: 47/50.After three cards have been selected is: 46/49.After four cards have been selected is: 45/48.

The required probability is then calculated as:

P(1 Ace) = n * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Where n is the number of cards i.e. 5

So, we have:

P(1 Ace) = 5 * (4/52) * (48/51) * (47/50) * (46/49) * (45/48)

Evaluate

P(1 Ace) = 0.2995

Express as percentage

P(1 Ace) = 29.95%

Hence, the probability that a five-card poker hand contains exactly one ace is 29.95%

Answers

Answer:

Step-by-step explanation:

First I would get the area of the entire figure as if it were a Rectangle

10x7 = 70 Area if the figure was a rectangle.

We can form a triangle with the cut out space, the height of the triangle is 10-6 which is 4 and has a base of 7.

7x4= 28

28/2 = 14 Area of triangle cutout

Now you subtract the two figures

70-14= 56

56 Is the area

The area of the given shape is 56 square units.

What is an area?

The quantity of space within a two-dimensional figure or form is measured by its area. It is a number that describes the size or extent of a surface, like the surface of a flat plane or the contours of an area on a map.

First I would get the area of the entire figure as if it were a Rectangle

10x7 = 70 Area if the figure was a rectangle.

Form a triangle with the cutout space, the height of the triangle is 10-6 which is 4, and has a base of 7.

7 x 4= 28

28/2 = 14 Area of triangle cutout

Now you subtract the two figures

70-14= 56 Square units

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what is the simplest way to explain how to do this?

Answers

Answer:

Step-by-step explanation:

area of a triangle = h x b/2 which means ill do

8 x 8 = 64

then 64/2

8x8 (again) = 64

64+32 = 96

Answer:

96 in^2. Find the area of the square, then the area of the triangle. After that, add them together.

Step-by-step explanation:

First, let's find the area of the square:
A = lw
A = 8 x 8
A = 64

Now, let's find the area of the triangle.
A = 1/2lh
A = 1/2(8)(8)
A = 1/2(64)
A = 32

Now, all we have to do is add 64 and 32 to get the total area

64 + 32 = 96

Write the correct ratio (fraction) for each triangle.

Answers

Answer:

21/20

20/29

21/20

20/29

21/29

20/21

Step-by-step explanation:

Use Soh Cah Toa for each, using the right equation for the right angle

e.g for sin(z) we use the opposite/adjacent for that angle

the hypotenuse is the biggest sizethe opposite is the side opposite to the angle you are usingthe adjacent is the other side

HELP ME!!!!!!
The data represents the yearly salary, in thousands of dollars, for 9 managers.

{68, 54, 104, 183, 72, 84, 75, 108, 71}

What is the five-number summary?

A. Minimum = 54Q1= 69.5Median = 75Q3= 106Maximum = 183

B. Minimum = 54Q1= 72Median = 74.5Q3= 104Maximum = 183

C. Minimum = 54Q1= 71Median = 74.5Q3= 108Maximum = 183

D. Minimum = 54Q1= 70Median = 74.5Q3= 106Maximum = 183

Answers

Answer:

A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183

Step-by-step explanation:

Arranging the data set in order from least to greastest we get:

54, 68, 71, 72, 75, 84, 104, 108, 183

From this, we can see that the minimum value is 54 and the maximum value is 183.

Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median

To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).

Q1: 54, 68, 71, 72

68 + 71 = 139
139 ÷ 2 = 69.5

-----

Q3: 84, 104, 108, 183

104 + 108 = 212

212 ÷ 2 = 106

Option A is the only answer with all of these values, therefore, it is the answer.

hope this helps!

which transformation of y = f(x) moves the graph 9 units to the left and 5 units down

Answers

Answer:

y=f(x+9)-5

Step-by-step explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.

Use the rule y = -2x + 5 to answer the questions below.
a. What is the slope of the line?

Answers

Answer:

-2

Step-by-step explanation:

Slope-intercept form: y = mx + b, in which:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

Note the numbers that replace the given variables:

y = mx + b ; y = -2x + 5

y = y

m = slope = -2

x = x

b = y-intercept = 5

-2 is your answer for slope.

Answer:

The slope is -2.

Step-by-step explanation:

I hope this helps! :)
The formula is y=mx+b, where m (in the place of -2) is the slope.

find the product 867 and 49

Answers

Answer:

42483

Step-by-step explanation:

867*49 = 42483

42,483 because 867 * 49 in a calculator is always 42,483

Paula bicycled for 20 minutes and covered 5 miles. What is her speed in miles per hour?

Answers

In four minutes, Paula covered one mile. Because one hour is equivalent to 60 minutes, we can divide 60 by 4 to get the amount of miles she covered in an hour. 60 / 4 = 15, which means that Paula’s speed is 15mph.

The area of the base of a cone is 36π square centimeters. The height of the cone is 20 centimeters. What is the closest to the volume of the cone?
A.740 cm ³
B.750 cm ³
C.800 cm ³
D.775 cm ³

Answers

Answer:

the answer is d because i have dont it b4

Step-by-step explanation:

If Deb cleans a 9100 square foot building for a total of $306.00, what is the amount Deb gets paid for a building half that size? (Hint: You will need to calculate the square footage of the building before you set up the ratio.)
A. 4550

B. 153

C. 306

D. 4397

Answers

Answer:

Answer choice B: 153

Step-by-step explanation:

What is the answer ?

Answers

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

Systolic blood pressure for a group of women is normally distributed, with a mean of 121 and a standard deviation of 9. Find the probability that a woman selected at random has the following blood pressures. (Round your answers to four decimal places.) (a) greater than 136 (b) less than 114 (c) between 114 and 128

Answers

the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

What is a Z-table?

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.

(a) The probability that a woman selected at random has blood pressures greater than 136.

[tex]P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})[/tex]

[tex]=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485[/tex]

(b) The probability that a woman selected at random has a blood pressure less than 114.

[tex]P(x < 114)= P(z < \dfrac{114-121}{9})\\\\[/tex]

[tex]= P(z < -0.77)\\\\= 0.2206[/tex]

[tex]P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\[/tex]

[tex]= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588[/tex]

Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

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Which of the following are factors of 6x^2+30x-36? Select all that apply.
Answer choices:
1. X-1
2. X+2
3. 2
4. 3
5. X+6
6. X-6
7. X-2

Answers

Answer:

Step-by-step explanation:

What is the area of the trapezoid at the right

Answers

Answer:

144

Step-by-step explanation:

8•6 because two triangles make a square and they are the same size, so there is no need to divide by half

then 8•12 for the square in the middle

Graph the system of equations below on a piece of paper. What is the solution? TW y=x-1 y=-2x+5

Answers

Given↷

A system of equations

y= x-1y= -2x+5To find↷The solution to the system of equationsAnswer↷(2,1)Solution↷

y = x -1 _ _ _ _ _ _(1)

y=-2x+5_ _ _ _ _ _(2)

subtracting equation 2 from equation 1,

we get,

x -1 = y

-(-2x +5 = y)

__________

3x -6 = 0

3x = 6

x = 6/3

x = 2

___________

Plugging the value of x in equation 1,

y= 2-1

y= 1

hence, the solution of this system of equation is (2,1)

y=x-1y=-2x+5

We will solve this through graphical way

Graph both equations

Solution is

(2,1)

Graph attached

T.True F.False While on your Limited Learner Permit (Level 1), you are required to keep a Driving Log and record a minimum of 60 hours of driving time.

Answers

It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1

How to determine the truth value?

There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.

One of these requirements is that the driver must spend at least 60 hours driving.

This means that the minimum driving time is 60 hours

Hence, the statement is true

Answers

Applying the pythagroean theorem, the formula to find the horizontal distance, d, is: [tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]

What is the Pythagorean Theorem?

The pyhagroean theorem is given as, c² = a² + b², where h is the longest side of the right triangle.

Given the following:

c = ha = db = R

The formula derived would be:

h² = d² + R²

Make d the subject fo the formula

[tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]

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please solve the given problem

Find the value of x and y
If

5x-2y=0
5x+10y=100

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

x = 10/3 , y = 25/3

Step-by-step explanation:

Let's solve your system by substitution.

5x−2y=0 ; 5x+10y=100

Step 1: Solve 5x−2y=0 for x:

5x−2y=0

5x−2y+2y=0+2y (Add 2y to both sides)

5x=2y

5x/5=2y/5 (Divide both sides by 5)

x=2y/5 (Simplify)

Step 2: Substitute 2y/5 for x in 5x+10y=100:

5x+10y=100

5 2/5y +10y=100

12y=100 (Simplify both sides of the equation)

12y/12=100/12 (Divide both sides by 12)

y=25/3

Step 3: Substitute 25/3 for y in x=2/5y

x=2/5y

x=2/5 * 25/3

x=10/3 (Simplify both sides of the equation)

At the end we have the following answers :

x = 10/3

y = 25/3

The lengths of the sides of triangle XYZ are written in
terms of the variable m, where m 2 6.
Which is correct regarding the angles of the triangle?
Omzx <'
mzz Х
m +8
OmZY m-3
OmZY 2m + 3
Omzz Z

Answers

Answer:

its the 3rd one i think but don't trust me cuz ion know

The correct regarding the angles of the triangles are,

⇒ m ∠Y < m ∠Z < m ∠X

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Since, Given that;

m ≥ 6, we will substitute 6 in for m.

This makes;

XZ = m-3 = 6-3 = 3.

XY = m+8 = 6+8 = 14.

YZ = 2(6)+3 = 12+3 = 15.

Hence, This makes the sides, in order from least to greatest as;

XZ < XY < YZ.

Thus, The angles associated with these are opposite their corresponding sides; XZ corresponds with Y; XY corresponds with Z; and YZ corresponds with X.

This means correct regarding the angles of the triangles are,

⇒ m ∠Y < m ∠Z < m ∠X

Thus, The correct regarding the angles of the triangles are,

⇒ m ∠Y < m ∠Z < m ∠X

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What is the probability of rolling numbers that add to 8 when rolling two standard number cubes? Use the chart to help you solve the problem

A 7/36
B 5/36
C 11/26
D 1/6

Answers

Answer:

It's 3/18 becasue in total there are 18 choices but only 3 add up to 8

Please help. Will mark brainlyest!

Answers

shape c meaning you can only fold it once and it will be the same on either side

what is 339.12 rounded to the nearest hundreth

Answers

Answer:

339.12 rounded to the nearest hundreth is 339

Because the hundreth place right now is 1 so anything below five keep the same

Please consider brainliest <3

Step-by-step explanation:

Answer: 339.10

Step-by-step explanation: The value of 2 is the hundredth and it is rounded up to 0

Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3x

Answers

Answer:

Step-by-step explanation:

The a line that is perpendicular to the reference line will have a slope that is the negative inverse of the slope of the reference line. We'll look for a line that has the form y=mx+b, where m is the slope and b is the y-intercept. The reference line y=(4/3)x has a slope of (4/3) and a y-intercept of 0 (it crosses the y axis at x = 0).

The negative inverse the the slope (4/3) would be -(3/4).

The new line will be y = -(3/4)x + b.

To find point, use the given point and solve for b:

y = -(3/4)x + b

y = -(3/4)x + b for point (4,2)

2= -(3/4)(4) + b

2= -3 + b

b = 5

The equation of the perpendicualr line is y = -(3/4)x + 5

See attached graph.

help quick!
Jennifer is collecting cans of food for a food drive at her school. On
week one, she collected 4 cans. On week two she had 5 cans. By
week five, she had 8 cans. How many cans will she have collected by
week twelve?

Answers

Answer:

make me brainliest pls hope it helps :)

Step-by-step explanation:

week 1 = 1+3=4

week 2= 2+3=5

week 5=8+3=11

11 cans

5. F-LE.1.2
Two terms from a sequence are two terms from a sequence are shown in
the table below. Which formula does not
generate these terms?

A, an = 2n
B. an = 2(n-1) + 2
C. An=2"
D. an = 2n-1 + 2

Answers

Answer:

A, an = 2n. B. an = 2(n-

Step-by-step explanation:

can you brainlist me

WILL GIVE BRANLIEST
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero

Answers

Answer:

The square root of an imperfect square

Step-by-step explanation:

A sequence is defined by an = -5+ (n - 1) 14, where n is a positive integer. What is the value of 410?

Answers

The sequence an = -5 + (n - 1)14 is an arithmetic sequence

The value of a10 is 121

How to determine the the a10-th term?

The sequence is given as:

an = -5 + (n - 1)14

To calculate the value of a10, we set n = 10

So, we have:

a10 = -5 + (10 - 1) * 14

Evaluate the difference

a10 = -5 + 9 * 14

Evaluate the product

a10 = -5 + 126

Evaluate the sum

a10 = 121

Hence, the value of a10 is 121

find the measure of angle R please help!

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find the measure of angle R

please help!