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Explanation:
Refer to the remote interior angle theorem (some books call it the exterior angle theorem). That says we can add the two interior angles and the sum is the exterior angle that is not adjacent to either interior angle.
(interiorAngle1) + (interiorAngle2) = exterior angle
(5x) + (2x+6) = 8x-11
7x+6 = 8x-11
6+11 = 8x-7x
17 = x
x = 17
----------------
Or the slightly longer method has you follow these steps:
y = missing interior angle in the upper right corner
The angle (8x-11) and angle y are supplementary
(8x-11) + (y) = 180
y = 180-(8x-11)
y = 180-8x+11
y = -8x+191
For any triangle, the three interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(5x)+(2x+6)+(-8x+191) = 180
-x+197 = 180
-x = 180-197
-x = -17
x = 17
i just want to know how did you get that number
Answer:
what number?
Step-by-step explanation:
Guided Practice
Give a reason to justify the equation.
3y+ (-5y) = [3+ (-5)]y
A. Commutative Property of Addition
B. Associative Property of Addition
C. Distributive Property
help!!!!
Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
10
10
(7.-2)
10
6
09
(-3,-8)
10
-10
This is equivalent to 0.6 in decimal form
=====================================================
Explanation:
To find the slope, divide the rise over run
rise = change in y = how far to move up or downrun = change in x = how far to move to the rightIn this case, we have:
rise = 6run = 10Therefore,
slope = rise/run = 6/10 = 3/5 = 0.6
The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,
m = (- 8 + 2) / (- 3 - 7)
m = 6 / 10
m = 3/5
The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.
More about the slope link is given below.
https://brainly.com/question/3605446
#SPJ7
Camden and his children went into a restaurant where they sell hotdogs for $4.50 each and drinks for $1.50 each. Camden has $30 to spend and must buy no less than 8 hotdogs and drinks altogether. If xx represents the number of hotdogs purchased and y represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
-
please help!!!! include all steps please
Answer:
5
Step-by-step explanation:
4.50 + 1.50 = 6
30 / 6 = 5
answer = 5
Good Day everyone! Kindly give me the formula for finding the original price, discount rate, discount and sale price.
Original price, discount rate, discount and sale price are given but one of them is missing.
Like original price = missing, discount rate = missing, and so on.
Explanation:
The relevant relationships are ...
discount = (discount rate) × (original price)
(sale price) = (original price) - discount
__
Putting these into one equation gives ...
(sale price) = (original price) - (discount rate)×(original price)
Combining terms, yields ...
(sale price) = (original price)×(1 -(discount rate))
This relation can be solved for either of the variables on the right:
(original price) = (sale price)/(1 -(discount rate))
(discount rate) = 1 -(sale price)/(original price)
or ...
(discount rate) = discount/(original price)
Going back to the beginning, you have ...
discount = (original price) -(sale price)
__
To solve for the missing amount, you can choose the formula for which you have the other amounts. Or, you can start with any of the relations that relate the amounts you have, fill in the given values, and solve for the unknown.
It's not rocket science. You see these calculations almost every time you go to the store.
_____
Additional comments
Here, we have assumed a positive value for discount rate and discount, and that the sale price is less than the original price. This is basically the set of relations that are seen by a retail buyer.
If you are the seller, the relations you typically see are ...
(cost price) + (markup) = (selling price)
The markup can be expressed as a percentage of either the cost price or the selling price, or it may be based on some other relation (fixed business costs, for example).
And another one is ...
(markup)/(cost price) = (profit ratio) . . . . often expressed as a percentage
Sometimes the profit is expressed as a fraction of the selling price (business revenue) instead of the cost price.
__
Taxes are added on in the same way that discounts are subtracted:
(final selling price) = (selling price) + (tax rate)×(selling price)
or
(final selling price) = (selling price)×(1 +(tax rate))
please keep it simple
Answer:
A B C D E F G H I J K L M N O P Q R S T U V W X Y ZHow many complex roots does the polynomial equation below have? x7 - 3x5 + 4x2 - 1 = 0
Answer:
4 complex rootsStep-by-step explanation:
The easiest way is to use a graphing tool and solve it graphically.
We did it with Desmos and it shows 3 real roots, see below.
The polynomial is of degree 7, hence it should have 7 roots.
Since there are 3 real roots, the remaining ones are complex, so there are 4 complex roots
Answer:
4 complex roots
Step-by-step explanation:
22/7 x 1.4
Plz explain this step by step
Answer:
22/5 (or) 4.4
Step-by-step explanation:
22/7 × 1.4
=22/7 × 1.4/1 <-- to change the decimal into a fraction multiply it with ×10 so the numerator 1.4 will become 14 and the denominator 1 will be 10
=22/7 × 14/10 <-- now you can cancel out as usual
=22/5 (or) 4.4
the base of a 15 ft ladder is 12 feet from the base of a building. a 25 foot ladder rests against the building at the same angle. how high up the wall does the 25 foot ladder reach
Answer:
The ladder reaches [tex]15ft[/tex]
Step-by-step explanation:
In the first case we have
[tex]cos\theta =\frac{12}{15}[/tex]
In second case let the height be [tex]x[/tex]
We have
[tex]sin\theta =\frac{x}{25}[/tex]
We know that
[tex]cos\theta =\frac{12}{15}\\\\sin\theta =\sqrt{1-\frac{12^{2}}{15^{2}} } \\\\sin\theta =\sqrt{\frac{81}{225} } \\\\sin\theta =\frac{9}{15} }[/tex]
Substituting
[tex]\frac{9}{15} =\frac{x}{25}\\\\x=\frac{25\times9}{15} =15[/tex]
The ladder reaches [tex]15ft[/tex]
A study is testing the effectiveness of a new allergy medication. Sixty people who reported they experience allergies were randomly assigned to one of two groups: one with the new medication, and another with a placebo. After two weeks, the subjects were surveyed by technicians to determine their level of allergic symptoms.
Which of the following would benefit this experiment the most?
This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.
This experiment should be single blind. The subjects do not know which treatment they are receiving to control for the placebo effect, but the technicians need to know which group received which treatment.
This experiment should be single blind. The subjects know which treatment they are receiving but the technicians do not know which group received which treatment, so the response being measured is not affected.
This experiment should not use blinding. It is unethical for the subjects not to know which treatment they are receiving, placebo or new medication, and for the technicians not to know which group received which treatment.
The best method that would lead to a more effective study is:
This experiment should be double blind. Neither the subject nor the technician should know which group is receiving the new medication and which is receiving the placebo. This method would control for the placebo effect and prevent any effect on the response.Double blind experiments are usually better than single blind experiments because they will account for experimenter bias which is where the technicians influence the project whether knowingly or unknowingly.
The placebo effect is also better studied because the participants will not know whether they are receiving a placebo or the real thing.
In conclusion, option A is correct.
Find out more about double blind experiments at https://brainly.com/question/9292513.
Answer:
A ON EDGE2022 :)))))))
Step-by-step explanation:
What percent of the respondents preferred dark chocolate or milk chocolate?
Write your answer using a percent sign (%).
unit 5 relationships in triangles homework 1 triangle midsegments
Q10
∠1 = ∠5 = 180° - 144° = 36°∠2 = 56°∠3 = 180° - 56° = 124°∠4 = 144° - 56° = 88°∠5 = ∠1 = 36°Q11
∠1 = 35°∠2 = 180° - 35° = 145°∠3 = 90° - 35° = 55°∠4 = 180° - ∠5 = 180° - ∠3 = 180° - 55° = 125°∠5 = ∠3 = 55°How do I find a solution in an equation
Answer:
How to find a solution in an equation:
(1) Substitute the number for the variable in your equation,
(2) Simplify the expressions on both sides of your equation and
(3) Determine whether the resulting equation is true. If it is true, the number is a solution. If it is not true, the number is not a solution.
Step-by-step explanation:
If any questions, please ask them below.
If you have no questions, please have a great rest of your day/night!
hey i need some help with this one.
Answer:
y = -2x - 8
Here's how I got that:
- You first assign the points -
(-8, 8) → x1 = -8, y1 = 8
(1, -10) → x2 = 1, y2 = -10
- Now you plug those points into slope formula and solve-
[tex]s=\frac{y2-y1}{x2-x1}[/tex]
↓
((-10) - 8)/(1 - (-8))
↓
-18/9
↓
slope = -2
- Now we plug the numbers we got into intercept formula -
b = y1 − s ⋅ x1
↓
8 - (-2) · (-8)
↓
y-intercept = -8
- Put everything together and you get.. -
y = -2x - 8
~That's all folks~
-Siascon
[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]
help please..
Select the correct image.
Given triangle A in the coordinate plane, which image shows a dilation of triangle A by a factor of 2 centered at the origin?
Answer:
C
Step-by-step explanation:
C because each point is twice as far from the origin
Answer:
c
Step-by-step explanation:
Solve for x.
32-8
=
-6
Enter your answer in the box
X=
Answer:
X = -2
Step-by-step explanation:
3x - 8/2 = x - 6
3x - 8 = x - 6 × 2
3x - 8 = x - 12
3x - x = -12 + 8
2x = -4
X = -4/2
X = -2
Hopes that it will help u...✌
PLEASE NO LINKS AND NO NEGATIVITY
Answer:
Answer is 15-r .Hope it will help you
Pleasee helpp
Write at least 4 key features of the graph shown below.
Answer:
There are a few key features of a graph; though I'm not exactly sure which ones are the '4 key features'
Step-by-step explanation:
There are a few key features of a graph.
- (x and y) intercepts
- Domain
- Range
- Increasing/Decreasing
- Vertex
-Max/min
- is the graph a function?
I'm not exactly sure what the 4 main key features of a graph is; since there are many features of a graph.
But I'm guessing its the
-x and y intercept
-Max/min
-Domain
-Range
The x intercept is (-15,0)
y intercept is (0,-5)
I was never properly taught how to find the domain and range of a graph, and I can't really find much about the domain and range of graphs that have no clear end to either side (continuous line) so I'm sorry, I can't really help you on that.
Answer:
Linear graph
Slope is 1/3
The y intercept is -5
The x intercept is -15
Step-by-step explanation:
The graph is a straight line graph
Slope = ∆y/∆x
= (-5 - 0)/-15-0
= -5/-15
= 1/3
Y-intercept is the value on the y-axis when x is 0
X-intercept is the value on the x-axis when y is 0
2
Select the correct answer
What is the sum of the first 28 terms of this arithmetic sequence?
69, 75, 81, 87, 93, 99,...
A. 2,436
B. 4,200
C. 4,320
D. 4,368
Answer:
B. 4200
Step-by-step explanation:
A suitable calculator can add the terms for you. (See attached)
__
The first term is 69, and the common difference is 75-69 = 6. The general term is ...
an = a1 +d(n -1)
an = 69 +6(n -1)
Then the 28th term is ...
a28 = 69 +6(27) = 231
The average term is (a28 +a1)/2 = (231 +69)/2 = 150.
The sum is the number of terms multiplied by the average term:
sum = 28×150= 4200
Graph the solution to this system of linear inequalities, and describe the meaning of the intersection of all 3 inequalities. HELP ASAP PLEASE!!!
Answer:
Step-by-step explanation:
Coordinates ( x, y ) from "red area" satisfy all three inequality.
Consider a box weighing one pound. Five statues are in the box. The total weight is 36 pounds. How much does each statue weigh?
Answer:
7 Pounds
Step-by-step explanation:
36 pounds - 1 pound= 35 pounds
The 5 statues weigh 35 pounds.
35 pounds ÷ 5 statues= 7 pounds
Each statue weighs 7 Pounds
Without using your calculator, work out 27 -
Give your answer as a fraction in its lowest terms.
You must show each step of your working.
Answer: So, 27 as a fraction would be 27/1 i guess? lol
Answer:
27/1 it's correct answer
$200 at 15.5% for 2 years
Twice the difference of a number and 2 is at least 16 use the variable y for the unknown number
Answer:
2(y-2) is greater then or equal to 16
Step-by-step explanation:
12. The area of the flower garden is 9.7 square meters
greater than the herb garden. What is the area of the
flower garden?
Answer:
F = H + 9.7 m^2
Step-by-step explanation:
Let F be the area of the Flower garden and H the area of the Herb garden.
F = H + 9.7 m^2
There is no area or information given on the Herb garden, so this is the best we can say.
Select an the correct answers.
Which two tables represent the same function?
Answer:
4th is right
Step-by-step explanation:
fourth is right, x + 8 = y
you have it correct
Is 1/-4 the same as -1/-4
FIND THE PROBABILITY OF EACH EVENT. MAKE SURE YOUR PROBABILITY IS IN SIMPLEST FORM (NOT KEYWORDS)
M&M BAG HAS 5 BLUE, 6 GREEN, 10 YELLOW, 2 RED, AND 3 BROWN.
blue________
yellow_________
brown and red_________
not blue or brown________
purple____________
not red____________
skittles_____________
M&M__________
FIRST TWO ANSWERS HAVE A CHANCE OF GETTING BRAINLIEAST
Answer:
(a) The probability that at least 5 of the first 10 sites contain the given keyword is 0.0328.
(b) The probability that the search engine had to visit at least 5 sites in order to find the first occurrence of a keyword is 0.4096.
Step-by-step explanation:
Mark as brainliest if correct
Graph the line that passes through the points (-1,7) and (-3,5) and determine
the equation of the line.
Answer:
y = x + 8
Step-by-step explanation:
find slope first:
m = 7-5 / -1-(-3)
m = 2 / 2
m = 1
now find the y-intercept using either ordered pair; plug 'y', 'x', and 'm' into
y = mx + b to solve for 'b'
7 = 1(-1) + b
7 = -1 + b
8 = b
put 'm' and 'b' into slope-intercept equation of a line, y = mx + b to get:
y = x + 8
The following are the ages of 13 mathematics teachers in a school district.
29, 30, 32, 38, 39, 43, 43, 44, 45, 46, 46, 57, 60
Notice that the ages are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:
a
Lower quartile:
Median:
0
Upper quartile:
Maximum:
Interquartile range:
Answer:
Minimum: 29
Lower Quartile: 35
Median: 43
Upper Quartile: 46
Maximum: 60
Interquartile Range: 11
Step-by-step explanation: