Answers
Step-by-step explanation:
Sum of angles in this pentagon = 540°.
Therefore 13x + 241 = 540, x = 23
Hence Angle P = 4(23) + 2 = 94°.
The measure of angle P is 94°
What is pentagon?"It is a polygon with five vertices and five sides."
For given example,
We know, the sum of all interior angles of a pentagon is 540°
⇒ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ (4x + 2)° + (132)° + (4x - 10)° + (5x - 11)° + 128° = 540°
⇒ 4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
⇒ 13x + 241 = 540
⇒ 13x = 299
⇒ x = 23
So, the measure of angle P would be,
4x + 2
= 4 (23) + 2
= 94°
Therefore, the measure of angle P is 94°
Learn more about Pentagon here:
https://brainly.com/question/10159087
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Related Questions
seven times a number equals
70
Show work
Answers
Answer:
7 times 10 equals 70
Step-by-step explanation:
70 divided by 7 equal 10 and 70 divided by 10 equal 7
You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how many hours,x, Master work this week if you wanna earn more than $30
Answers
Answer:
Hours of work= 3.5
Step-by-step explanation:
Giving the following information:
Allowance= $5
Hourly pay= $7.5
Desired profit= $31
To calculate the number of hours to work, we need to use the following formula:
Hours of work= shoveling pay / hourly pay
Hours of work= (31 - 5)/7.5
Hours of work= 26/7.5
Hours of work= 3.5
Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals
Answers
Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
Marcello is an artist who makes oil paintings and charcoal sketches. He sells each oil painting for $500 and each charcoal sketch for $300. Marcello wants to create 56 works total. Write and solve a system of equations to determine how many pieces of artwork he must sell in order to make exactly $20,000
Answers
Answer:
He needs to sell 25 pieces of artwork.
Step-by-step explanation:
$500 for an oil painting.
$300 for a charcoal sketch.
56 pieces of artwork total.
$20,000 goal.
500 + 300
= 800
$800 for 1 oil painting and 1 charcoal sketch.
20,000 ÷ 800
= 25
He needs to sell 25 pieces of artwork to make $20,000.
jason made 42 christmas cookies he gave half of them to his teacher he ate 1 third of them then gave 8 to his little sister how many do santa get
Answers
Answer:
and why did teacher ate it
Miley earns $10 per hour babysitting. Is the amount of money earned proportional to the number of hours she spends babysitting? If it is proportional, find the constant of proportionality, explain what it means, and write an equation to represent the situation. Then find out how much she would make for babysitting 5.5 hours.
Answers
Answer:
think what constant of proportionality is
Step-by-step explanation:
Jorge's dog weighs 14 pounds. How many ounces does he weigh?
Answers
Answer: 224
Step-by-step explanation:
A worker is spray painting doors. It takes LaTeX: \frac{2}{5} 2 5 of a can of spray paint to paint 1 door. The worker has 2 cans of spray paint total. How many doors can the worker paint? Group of answer choices
Answers
Answer:
5 doors
Step-by-step explanation:
Can of spray paint : door painted = 2/5 : 1
The worker has 2 cans of spray paint total.
How many doors can the worker paint?
Let x = number of doors the worker can paint
Can of spray paint : door painted
2 : x
Equate both ratios
2/5 : 1 = 2 : x
2/5 ÷ 1 = 2/x
2/5 × 1/1 = 2/x
2/5 = 2/x
Cross product
2 * x = 5 * 2
2x = 10
x = 10/2
x = 5 doors
The worker can paint 5 doors with 2 cans of spray paint
Question 1 (10points)
Help :)
Answers
Answer:
um B
Step-by-step explanation:
???????
3x² = 6 blah blah blah
Answers
Answer:
x= square root of 2 blah blah blah
Step-by-step explanation:
Answer:
x= square root of two
Step-by-step explanation:
PLEASE HELP!!! A $950 computeris on sale for 15% off. If sales tax is 6% will this computer cost including tax?
Answers
Answer:
the computer will cost 864.5
Step-by-step explanation:
15% of 950 is 142.5.
950-142.5=807.5
6% of 950 is 57
Answer:
$855.95
Step-by-step explanation:
So We can first multiply the original price by 0.85 becuase its 15 percent off and we’re paying 85 percent of the original price basically.
You’ll get 807.50.
Now to find the sales tax we multiply that by 1.06 becuase the 100 percent is the price now and we’re just adding 6 percent so 1.06, and you’ll get 855.95
So no adding and subtracting and that takes off 2 steps and its way quicker
So the final answer is $855.95
A bicycle wheel has a diameter of 28 inches. Which expression can be used to describe the circumference of the wheel as it relates to diameter?
Answers
Given:
The diameter of a bicycle wheel is 28 inches.
To find:
The circumference of the wheel as it relates to diameter.
Solution:
We have,
Diameter: [tex]d=28\text{ inches}[/tex]
We know that,
Radius: [tex]r=\dfrac{d}{2}[/tex]
[tex]r=\dfrac{28}{2}\text{ inches}[/tex]
The circumference of a circle is
[tex]C=2\pi r[/tex]
Putting [tex]r=\dfrac{28}{2}[/tex], we get
[tex]C=2\times \pi \times \dfrac{28}{2}[/tex]
[tex]C=28\times \pi[/tex]
Therefore, the correct option is (H).
Two car dealers in town are offering different sales on the same model of car. Sandra can buy the car from Al's Cars, which normally sells the car for $11,000 but will offer a 15% discount. Or she can buy the car from CarWorld, where the car sells for $12,500 and the dealership offers a 20% discount.
A. What is the price of the car at each dealership after the markdown?
B. How much will sandra save by going to the correct car dealer?
PLEASE HELP!!!
Answers
B. She will save $1650 going to AI’s dealership
Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots
Answers
Answer:
4x-27x-54-90=
Step-by-step explanation:
well first you have to subtract x which is -23x
then u have to bring 90+54 on the other side
which then leaves you with
-23x=144
x=-6.260869565217391
can i also get brainliest please
The equation below has one solution 9X -10 equals 3X +2 what is the solution to the equation
Answers
Answer:
X= 2
Step-by-step explanation:
9x-10
(9*2)-10
18-10
8
3x+2
(3*2)+2
6+2
8
Cindy was making desserts for a bake sale. She had 24 cups of sugar to work with. She used 3/4 of the sugar to make pies. She used the remaining sugar to make giant cookies. If each giant cookie needed 3/5 of a cup, how many cookies could Cindy make?
Answers
Answer:
she had 23 and 1/4 cups of sugar left to make the cookies.
93/4 is the improper fraction of that.
[tex]\frac{93}{4} / \frac{3}{5}[/tex]
the lowest common multiple is 20, so convert the fractions to have common denominator
[tex]\frac{465}{20} / \frac{12}{20}[/tex]
divide the numerators and you have your answer
38.75 cookies
Step-by-step explanation:
-3 |-2•4 | =
.........
Answers
Answer:
-24
Step-by-step explanation:
Beth works at a car lot. This week she sells $23,200 in cars. She earns 4% commission for all the
cars she sells. How much will she earn this week?
Answers
Answer:
$928
Step-by-step explanation:
23200/100 = 232
232 * 4 = 928
A family bought a total of 32 adult and child tickets to eat at the dining hall.
Adult tickets are $21 each and children are $15 each.
The family paid a total of $282
Write an equation to model the total number of tickets sold.
Write an equation to model the cost of tickets sold.
How many of adult tickets, “x” and child tickets, “y” did they buy?
Answers
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
HELP PLEASE
Question 4 (5 points)
(04.05)
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)
Answers
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
Evan spent 20 hours doing homework last week
25 hours were spent this week.
Let's see what 125% of 20 equals:
= (125 / 100) * 20
= (125 / 10) * 2
= 125 / 5
= 25 hours
But,
It is written that Evan thought he spent 125 % more than the last week which means:
= (125% of 20) + 20
= 25 + 20
= 45 hours
He should've said that he has given 25% more time than the last week.
(Note that: 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807which mathematical property is shown here
7+2=2+7
1 distributive property
2 commutative property
Answers
Answer:
Commutative property
Answer:
It is commutative property!
Step-by-step explanation:
Distributive is when the numbers are distributed while commutative is when you can swap around the numbers and nothing would change therefore the equation you gave is a commutative property
a, b, and c represent three different digits. If you add up all of the six two - digit numbers that can be written with these digits, where you don't use the same digit twice in each number, then the sum will be 528. Find these digits.
Answers
Answer:
7, 8 and 9Step-by-step explanation:
Two-digit numbers are:
ab, ac, ba, bc, ca, cbSum of them is:
10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 52822a + 22b + 22c = 528a + b + c = 528/22a + b + c = 24The only option of three different digits with the sum of 24 is 7, 8 and 9
Answer:
The answer is 7, 8 and 9. The Two-digit numbers are: ab, ac, ba, bc, ca, cb
The Sum of them is: 10a + b + 10a + c + 10b + a + 10b + c + 10c + a + 10c + b = 528
22a + 22b + 22c = 528
a + b + c = 528/22
a + b + c = 24 The only option/options of the three different digits with the sum of 24 is 7, 8 and 9.
Hope this helps, stay safe, and merry christmas!
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second.For which of these functions doesy represent the altitude of the hot air balloon if x represents the number of seconds since the pilot started her landing?
Answers
Hello can you solve 2+2
Thx and bye
Answers
Answer:
4
Step-by-step explanation:
A driver travels from Town A to Town B at a speed of 75km/hr and covers a distance of 150km. He then travels from Town B to Town C for 3 hours at a speed of 80km/hr. Find the average speed from Town A to Town C
Answers
chal khud kar solve
nikal yahann se, khud mehnat se solve kar
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answers
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
The graphed line shown below is y = 5 x minus 10.
On a coordinate plane, a line goes through (2, 0) and (3, 5).
Which equation, when graphed with the given equation, will form a system that has no solution?
y = -5 x + 10
y = 5 (x + 2)
y = 5 (x - 2)
y = -5 x - 10
Answers
Step-by-step explanation:
For 2 lines to form a system with no real solution, the slope of the lines have to be equal and the y-intercept is different.
Hence the answer is y = 5(x + 2).
Please help me I need help puhleass
Answers
Answer:
I can not see the full question
Step-by-step explanation:
Answer:
12/20 is 3/5, 42/66= 7/11, 7/56=1/8, 30/45=2/3, 9a/50a= i dont know because you are not able to divide 9/2 and is able to divide 50/2, 125/625= 1/5
Step-by-step explanation:
divide the numerator and the denominator buy the same number to get the answer i got 12/20 to 3/5 because 12/4= 3 and 20/4=5.
Victor's crew team needs to raise at least $3,000 for their trip to the state championships. A sponsor generously donated hot dogs and cans of soda for the team to sell at each school sporting event. The crew team members will sell hot dogs for $2 each and sodas for $1 each. Which inequality can be used to calculate how many hot dogs,x, and sodas, y, Victor's team needs to sell to have enough money for the trip?
Answers
That is the greater than or equal to btw
So the need at least 3000 so that can raise more which is why it’s greater than or equal to. But it’s 2x because hotdogs are the x and they are being sold for two dollars each same with the y as it equals the soda which is being sold for one dollar
Almee is decorating her new house. she found a table at pier one for $425. If the table is 25% off, what will it cost
Answers
Answer:
$318.75
Step-by-step explanation:
425*0.25=106.25 425-106.25=318.75