Answers:
x = 13
y = 24
=========================================================
Explanation:
Refer to the diagram below.
The triangle has interior angles (7x-31), 63, and some unknown angle, which we'll call z. This angle z is congruent to (5x-8) as the angles are alternate interior angles.
Alternate interior angles are congruent when we have parallel lines like this.
So z = 5x-8
Add up the three angles inside the triangle, set the sum equal to 180, and solve for x
(angle1)+(angle2)+(angle3) = 180
(7x-31)+63+(5x-8) = 180
12x+24 = 180
12x = 180-24
12x = 156
x = 156/12
x = 13
--------------------------
The angle z mentioned earlier is adjacent to the (4y+27) angle. These two angles form a straight line. They are considered a linear pair. This means they are supplementary (they add to 180)
z+(4y+27) = 180
(5x-8)+(4y+27) = 180
5x + 4y + 19 = 180
5(13) + 4y + 19 = 180
65 + 4y + 19 + 180
4y + 84 = 180
4y = 180-84
4y = 96
y = 96/4
y = 24
A truck can be rented from Company A for $100 a day plus $0.60 per mile. Company B charges $30 a day plus $0.80 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
80+ 0.3x = 60 + 0.4x
20 = 0.1x
x = 200
Therefore, at 150 miles, the best deal changes companies
Step-by-step explanation:
HAVING A BAD DAY HELP
Christine bakes 20 cookies every half hour. Charlie sells 38 cookies per hour. How many cookies are left unsold if they work from 6:00 AM until noon?
Answer:
12
Step-by-step explanation:
The number of cookies that are left unsold if they work from 6:00 AM until noon is 12.
Cookies baked per hour by Christine = 20*2 =40
Cookies sold per hour by Charlie = 38
How many hours will be there between 6:00 AM and noon?There will be 6 hours between 6:00 AM and noon.
So, Cookies baked by Christine in 6 hours = 40*6 =240
Cookies sold by Charlie in 6 hours = 38*6 =228
Number of unsold cookies =240-228 =12
Hence, the number of cookies that are left unsold if they work from 6:00 AM until noon is 12.
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The tide level goes down all evening, and Hamid’s instruments read 11 ft above his marker 1 hour before he arrived. Write the equation in slope-intercept form of the line that represents today’s tide level y relative to the marker over time x, if Hamid knows the line is parallel to the graph of yesterday’s data, y=−8x− 2.
Answer:
y=-8x-2
Step-by-step explanation:
Write 7*7*7 using an exponent
Answer:
7^3
Step-by-step explanation:
Copied mandhizulfiquar
y = 4x - 5 and (3,4) (7, 3) A. parallel B. perpendicular D. neither
Answer:
The lines are perpendicular. Option B.
Explanation:
Equation of the Line
One of the characteristics of the line is its slope. It can be determined in two ways:
* From the equation y=mx+b, the m is the slope. The given equation is y=4x-5. Thus, the slope of this line is m=4.
* Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The points are (3,4) and (7,3), thus the slope is:
[tex]\displaystyle m=\frac{3-4}{7-3}=-\frac{1}{4}[/tex]
A. For two lines to be parallel, their slopes must be equal. Since m1=4 and m2=-1/4, the lines are not parallel. Incorrect
B. For two lines to be perpendicular, their slopes must meet the condition:
[tex]m1*m2=-1[/tex]
4*(-1/4)=-1
Both lines are perpendicular. Correct choice
D. Since choice B. is correct, this cannot be true. Incorrect
Please help, I will mark brainliest.
Answer:
(2,1)
Step-by-step explanation:
Answer: It's (2,1)
Step-by-step explanation:
How do you divide 81 by 13.5
Answer:6
Step-by-step explanation:
By going on a calculator and typing 81 then click divide then press 13.5
How much more is 48 than28.3
Answer:
48 is 19.7 more than 28.3
Step-by-step explanation:
You just subtract 48 - 28.3
A key word is THAN which hints that you need to subtract. MORE indicates addition which means it is 48 is +19.7 more than 28.3
You spend of an 4/5 of an hour on your homework. You spend 1/2 of that time working on your science homework.
How many minutes do you spend working on science homework?
Answer:
you spend ethier 3/10 or you spend 5/10
Step-by-step explanation:
try it. because u can only add or subtract with like denominators.
24 minutes are spent working on science homework.
What is the unitary method?The unitary technique entails finding the value by multiplying the single value and then solving the problem using the initial value of a single unit. If an event may take place in m different ways and a second event can take place in n different ways after it, then the two events that follow can take place in m n different ways.
Given,
time spend for homework is
4/5 hours = 4/5×60 = 0.8×60 = 48 minutes
if 1/2 of this time is spent on working science homework
48×1/2= 48×0.5= 24 minutes
Hence, the total minutes spent, working on science homework is 24 minutes.
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The points represented by the table lie on a line.
Х
- 4
-3
-2
-1
y
2.
-5
-12
-19
What is the slope of the line?
The points represented by the table lie on a line, then the slope of the line would be; 3.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Its slope would be:
[tex]m = \dfrac{y-q}{x-p}[/tex]
Since the Slope of parallel lines is the same. Slopes of perpendicular lines are negative reciprocals of each other.
Using any two pairs from the table of values given which are; (-4, 2) and (-3, 5):
[tex]m = \dfrac{y-q}{x-p}[/tex]
Now Plug the value into the slope formula:
m = (5 - (-4))/ (5 - 2)
m = 9/3
m = 3
Therefore, the slope of the line would be; 3.
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The table shows the results of a survey of students. The survey asked the students whether they have a job and whether they have a car.
Job No Job Total
Car
38
22
60
No Car 16
18
34
Total
54
40
94
What percentage of the students in the survey have a car?
O A 22%
O B. 38%
OC. 40%
OD. 60%
dhe
O E 64%
Answer:
It’s E. 64%
Step-by-step explanation:
Based on the number of people who had a car and the total number of people surveyed, the percentage is E. 64%
Percentage of those with carsThe percentage of students with a car is:
= Number of students with cars / Number of students in total x 100%
Solving gives:
= 60 / 94 x 100%
= 63.8%
= 64%
In conclusion, option E is correct.
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HELP HURRY. What is the sum when you simplify the expression 3 + (-4)?
Answer:
-1
Step-by-step explanation:
can someone help me figure this out please?
Answer:
Subtract 7 from both sides
Step-by-step explanation:
The first step is to collect all the whole numbers to isolate the variable.
2. What do I do to an image if I am given this translation:
(x, y) -> (x - 2, y - 3)
O Translate right 2. down 3
Translate right 2, up 3
Translate left 2. down 3
O Translate left 2. up 3
Answer:
translate left 2, down 3
Step-by-step explanation:
^^^
2895÷229=
PLZ RIGHT WITH WHOLE NUMBER AND REMANDER
---
R:
Answer:
12 R 147
Step-by-step explanation:
In September, 8 out of 10 days were rainy. How many total days in September were rainy? I Will Give You 15 Points
Answer:
8 days where raining out of 10. means 2 days where not raning so 8 days where raning and 2 was not.
The graph below shows the relationship between the number of dollars a worker earns and the number of hours worked.
What is the range of the function for this situation?
Answer:
C-All real numbers less than or equal to 40
Step-by-step explanation:
none of the other answers make any sense
-6x + 3x = -21 linear equations
well combine like terms
-3x = -21
divide both sides by -3
x = 7
Answer:
x = 7
Step-by-step explanation:
-6x + 3x = -21
Combine like terms
-3x = -21
Divide by -3
-3x/-3 = -21/-3
x = 7
I need help with this
if A = James's present age, write an expression for his age seven years from now *
Answer:
A +7= F
Step-by-step explanation:
A is his current age, and he gains, or adds seven years he will be F or his future age.
The expression 35+45x represents a trains distance in miles from a terminal after X hours of travel
How far was the train from the terminal at the beginning of the journey?
A.) 35
B.)45
C.)10
D.)80
Answer:
35
Step-by-step explanation:
If it hasn't started X would be 0 so it be 35+45(0) that would give you 35.
How do you isolate a variable?
Answer:
a variable is isolated by using the many properties.
these are addition, subtraction, division, and multiplication
Step-by-step explanation:
hope this helps!
11 times what is 93.5?
Answer:
11 x ___ =93.5
___ = 93.5 ÷ 11
= 8.5
Answer:
93.5/11 = 8.5
Step-by-step explanation:
What is the slope of the line?
y-4=-7(x-6)y−4=−7(x−6)
Answer:
-7
Step-by-step explanation:
That's what Khanacademy says
Answer:
-7
Step-by-step explanation:
I got it right
Plz help and Thank you :/
Answer:
ok that is correct because you start with 25 and then add 9 each week so 25+9w
Step-by-step explanation:
quick Solve by elimination 4. -6x-y= -17
-2x-3y= -3
Answer:
Step-by-step explanation:
18x + 3y = 51
-2x - 3y = -3
16x = 48
x = 3
-2(3) - 3y = -3
-6 - 3y = -3
-3y = 3
y = -1
Gavyn was thinking of a number. Gavyn halves the number and gets an answer of 44. Form an equation with x from the information.
Answer:
The equation
(x/2) = 44
The answer
x = 88
The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6).
3. What are the coordinates of point G?
Don purchased software for $99.95. How much tax was
charged if the tax rate was 9.5%?
Answer:
9.49525
Step-by-step explanation:
You have the total and the percent so you are looking for the part. You can set up a proportion with 9.5 over 100 and x over 99.95. Then you multiply 9.5 times 99.95 to get 949.525 which then you divide by 100. So x is 9.49525
help me with the question please
Answer:
I think it would be reflection because those triangles look very similar if not im sorry
Step-by-step explanation:
Brainlist maybe?