Answers
Answer:
kpm is about 110.02 degrees
Step-by-step explanation:
-kpl and npm are vertical angles, so they're congruent
-npm and lpm are supplementary angles, meaning they add to 180 degrees
we r given:
npm = 14x - 22
lpm = 7x + 4
add these and set equal to 180:
14x - 22 + 7x + 4 = 180
then combine like terms:
21x -18 = 180
isolate the variable by adding 18 on both sides:
21x = 198
divide by 21 on both sides:
x = about 9.43
since kpl and npm r congruent, plug in the value of x in npm (14x-22):
14(9.43)-22
= 110.02
Related Questions
Ms. Claudius drove 196 miles in
3 hours. What was her speed in miles
per hour
A.) 56 miles per hour
B.) 58 miles per hour
C.) 62.5 miles per hour
D.) 65.3 miles per hour
Answers
Which of the following expressions are equivalent to (x+4y)^2 check all that apply: A. x^2+8xy+16y^2 B. x^2+2xy+2y(x+2y) C. x^2+16y^2 D. x^2+4xy+4y(x+4y) Question 2. If the expression ax(2x+y-5) simplifies to 6x^2+3xy-15x, what is the value of a? Type only the numeric value into the box.
Answers
Given:
The expression is [tex](x+4y)^2[/tex].
The expression [tex]ax(2x+y-5)[/tex] simplifies to [tex]6x^2+3xy-15x[/tex].
To find:
The equivalent expression.
The value of a.
Solution:
The expression is
[tex](x+4y)^2[/tex]
Using [tex](a+b)^2=a^2+2ab+b^2[/tex], we get
[tex](x+4y)^2=x^2+2(x)(4y)+(4y)^2[/tex]
[tex](x+4y)^2=x^2+8xy+16y^2[/tex]
Therefore, the correct option is A.
The expression [tex]ax(2x+y-5)[/tex] simplifies to [tex]6x^2+3xy-15x[/tex]. So,
[tex]ax(2x+y-5)=6x^2+3xy-15x[/tex]
[tex]2ax^2+axy-5ax=6x^2+3xy-15x[/tex]
On comparing the coefficient of [tex]x^2[/tex],, we get
[tex]2a=6[/tex]
Divide both sides by 2.
[tex]a=3[/tex]
Therefore, the value of a is 3.
Kaylee bought three pounds of strawberries for $24.00. What is the price, in dollars
per ounce of strawberries?
1 pound = 16 ounces
Before you try that problem, answer the question below.
How many ounces of strawberries did Kaylee buy?
Answers
Answer: 0.50 cents per ounce. The amount of ounces is 48.
Step-by-step explanation: hope this helps
Answer:
Kaylee bought 48 and the price is $0.50
Step-by-step explanation:
1 pound = 16 oz
so 3 pounds = 48 oz
And then you get $0.50 when you doa step by step explanation comment if you need to know how.
Dr. Burnett stocks each room in his dentist office with 300-milliliter bottles of mouthwash. If he orders five 1. 5-liter bottles of mouthwash, how many of the smaller bottles can he fill?
Answers
Answer
A little over 16.
Step-by-step explanation:
If you convert 5 liters to milli-liters, you get 5,000. You then divide 5,000 by 300 and get 16.67.
Hope this helps!
Jim is going to plant grass in a rectangular area that is 15 feet long and 10 feet wide.At the store, there are bags of grass and seed that will cover 200 square feet. Willone bag be enough
Answers
The area of the plant grass is the amount of plant grass on the field
It is true that one bag of grass and seed will be enough
How to determine if the bag will be enough?
The dimension of the rectangular area is:
15 feet by 10 feet
So, the area of the rectangular garden is:
Area = 15 feet * 10 feet
Evaluate the product
Area = 150 square feet
There are bags of grass and seed that will cover 200 square feet.
200 square feet is greater than 150 square feet
Hence, one bag of grass and seed will be enough
Read more about areas at:
https://brainly.com/question/24487155
Answer:
The area of the plant grass is the amount of plant grass on the field
It is true that one bag of grass and seed will be enough
How to determine if the bag will be enough?
The dimension of the rectangular area is:
15 feet by 10 feet
So, the area of the rectangular garden is:
Area = 15 feet * 10 feet
Evaluate the product
Area = 150 square feet
There are bags of grass and seed that will cover 200 square feet.
200 square feet is greater than 150 square feet
Hence, one bag of grass and seed will be enough
Read more about areas at:
brainly.com/question/24487155 hope this help lol
Step-by-step explanation:
3. Scottie's Scooter Rental
rents scooters for $35.00
and $0.30 per mile. Define
the variables and write a
linear function to represent
the situation.
Answers
Answer:
The answer is y = 0.3x + 35
Step-by-step explanation:
Given;Scottie's scooter rental rents scooters for $35Extra rent for $0.3 per mileHere, 0.3 is variable and 35 is constant
So,
y = 0.3x + 35
Thus, The answer is y = 0.3x + 35
-TheUnknownScientist 72
Can someone help me on this question? I Just need help with the 3rd question. Use the word bank below to answer. I’ll mark you brainliest if you answer soon!!!
Answers
Answer:
Transitive property
Step-by-step explanation:
Refer to the picture given below;
Answer:
transitive property
Step-by-step explanation:
it not complementary angles because it not 90 degree
it not vertical angles because it doesn't show pair angles formed when two lines intersect.
it not reflexive property because it doesn't shown a number is always equal to itself.
so, for the reason above i think transitive property is the answer.
After watching baking shows on T. V. , Sanjay signs up for a cake-decorating class. To practice his new skills, he decorates a batch of cupcakes with sugar flowers. Sanjay puts 4 sugar flowers on each cupcake. In all, Sanjay puts 32 sugar flowers on the cupcakes. Which equation can you use to find the number of cupcakes c Sanjay decorates?
Answers
Answer:
4 sugar flowers for each cup
Total number of cups = 32
Generating The Equation
number of cupcakes (n) = (total cupcakes decorated)/( number of sugar flowers for each cup)n = 32/4n = 8The equation that can be use to determine the number of cupcakes c Tucker decorates will be 4n = 32.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that 4 sugar flowers for each cup
Total number of cups = 32
Generating The Equation;
The number of cupcakes (n) = (total cupcakes decorated)/( number of sugar flowers for each cup)
n = 32/4
n = 8
The equation that can be use to determine the number of cupcakes c Tucker decorates will be 4n = 32.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Find the area of the shaded sector:
Answers
123.15 ft²
[tex]\bold{area \ of \ sector = \sf \dfrac{\theta}{360} * \pi * radius^2}[/tex]
[tex]\hookrightarrow \sf \dfrac{72}{360} * \pi * 14^2[/tex]
[tex]\hookrightarrow \sf 123.15 \ ft^2[/tex]
Answer:
123.2ft rounded answer
Step-by-step explanation:
On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).
Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?
1
2
3
4
Answers
Answer:
On a coordinate plane, 5 rectangles are shown. Rectangle L M N P has points (negative 5, 1), (negative 5, 4), (negative 3, 4), (negative 3, 1). Rectangle 1 has points (negative 2, 0), (0, 0), (negative 2, negative 3), (0, negative 3). Rectangle 2 has points (1, negative 1), (1, negative 3), (4, negative 1), (4, negative 3). Rectangle 3 has points (2, 1), (2, 4), (4, 1), (4, 4). Rectangle 4 has points (0, 0), (0, 3), (2, 0), (2, 3).
Which figure represents the final image after composition ry-axis ◦ T3, -1 is applied to rectangle LMNP?
1
2
3
4
it is number 4
Answer:
4
Step-by-step explanation:
Help me please 25 points
Answers
Answer:
Step-by-step explanation:
f(1) .here x = 1 and this is less than 4. so, we have to choose
f(x) = -(x - 2)² - 3
f(1) = -(1-2)² - 3
= - (-1)² - 3
= - (1) - 3
= -1 - 3
= -4
Cecil sold vegetables at the farmers market on Saturday and Sunday. On Saturday, he collected twenty $1 bills, six $5 bills, four $10 bills, and five $20 bills. On Sunday, he collected thirty $1 bills, four $5 bills, five $10 bills, and one $20 bill. How much money did Cecil collect in total?
Answers
Answer:
$250.00
Step-by-step explanation:
twenty $1 bills- 20 x 1 = 20
six $5 bills- 6 x 5 = 30
four $10 bills- 4 x 10 = 40
five $20 bills- 5 x 20 = 100
thirty $1 bills- 30 x 1 = 30
four $5 bills- 4 x 5 = 20
five $10 bills- 5 x 10 = 50
one $20 bill- 1 x 20 = 20
Add the bold totals together and get the final answer of $250.00
Two linear equations and their graph are shown.
Which coordinate point simultaneously satisfies both linear equations?
Answers
Answer:
the third one
Step-by-step explanation:
because they both intersect at (4, -3 1/2)
Answer:
The Answer is Third one...
Step-by-step explanation:
Please mark as brainliest
Have a great day !
i need your help plz say fast this answer
Answers
Answer:
not exactly an answer but...
Step-by-step explanation:
5y^(2)-9y+6y^((3)/(2))-5y^((1)/(2))+125 = 0 is an equation i came up with. it's un-factorizable though
A second number is four times the first. Their sum is 50. Fine the numbers.( show work )
Answers
Answer:
Let the number(second) be "P"
The first number= 4×P = 4P
4P + P = 50
5P = 50
P = 50
5
P = 10(second number)
First number = 4×10 = 40
Therefore the numbers are 40 and 10
How do i use a Vertex Form??
Answers
Answer:
The vertex form of a quadratic function is for example f(x) = a(x – h)2 + k, where a, h, and k are constants. of the parabola is at (h, k). When the quadratic parent function f(x) = x2 is written in vertex form, y = a(x – h)2 + k, a = 1, h = 0, and k = 0.
Step-by-step explanation:
Hope this helps!!
Answer:
The vertex form of a quadratic function is f(x) = a(x – h)2 + k, where a, h, and k are constants. of the parabola is at (h, k). When the quadratic parent function f(x) = x2 is written in vertex form, y = a(x – h)2 + k, a = 1, h = 0, and k = 0.
I think it will help you.
M is the midpoint of point A (5,4) and point B (15,0)
What is the x- coordinate of M
Answers
Answer:
x = 10
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = A(5, 4) and (x₂, y₂ ) = B(15, 0) , then
M = ( [tex]\frac{5+15}{2}[/tex], [tex]\frac{4+0}{2}[/tex] ) = ( [tex]\frac{20}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (10, 2 )
The x- coordinate of M = 10
Can you answer this:
Answers
Answer:
y=75/1000 or 0.075, r=230/1000 or 0.23
by the number of each color and they told u there were a total of 1000
Step-by-step explanation:
Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes,
what was her average lap time
1.19
1.15
1.21
1.17
Answers
Answer:
1.15
Step-by-step explanation:
You add up all three numbers then divide by 3
The average lap time will be 1.15 minutes. The correct option is B.
What is an average?Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.
Given that Cheryl ran three laps during her physical education class. If her times were 1.23 minutes, 1.04 minutes, and 1.18 minutes.
The average will be calculated as,
Average = ( 1.23 + 1.04 + 1.18 ) / 3
Average = ( 3.45 / 3 )
Average = 1.15
Hence, the average is 1.15.
To know more about an average follow
https://brainly.com/question/20118982
#SPJ2
What is the recursive formula for the sequence defined by the explicit equation an = -6 + 3n?
Answers
Answer:
an=an-1
Step-by-step explanation:
as it doesnt have -6 +3n
Sam is making a metal box as part of a sculpture. She wants to know how much metal is needed to make a box with the dimensions shown. What is the surface area of the box?
A. 18 square meters
B. 6 square meters
C. 22 square meters
D. 11 square meters
Answers
Answer:
C. 22 square meters
Step-by-step explanation:
The surface area of a rectangular prism can be found from the formula ...
A = 2(LW +H(L +W))
Filling in the given values, we have ...
A = 2(2×3 +1×(2+3)) = 2(6 +5) = 22
The surface area of the box is 22 square meters.
Can someone help me please
Answers
Run = 5
Slope = 4/5
Can somebody solve this? That would be awesome, thanks
Answers
Answer:
15.5 ft
Step-by-step explanation:
C=2×pi×r
48.67=2×3.14×r
48.67÷(2×3.14)=r
r= 7.75 ft
diameter = 2× radius
diameter = 2× 7.75
d= 15.5
Hope this helps!
Part A: What is the metabolism rate of a 60 kg cheetah to the nearest
tenth of a calorie per day?
Part B: Rearrange the formula to solve for m in terms of P, calories.
Answers
The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.
What is an equation?An equation shows the relationship between numbers and variables.
Given that:
[tex]P=73.3\sqrt[4]{m^3} \\[/tex]
Where P is the metabolism rate in calorie per day for m mass.
a) For m = 60:
[tex]P=73.3\sqrt[4]{60^3} \\\\P=1580.2[/tex]
The metabolism rate of a 60 kg cheetah is 1580.2 calorie per day.
b)
[tex]P=73.3\sqrt[4]{m^3} \\\\\frac{P}{73.3} = \sqrt[4]{m^3} \\\\m = \sqrt[3]{(\frac{P}{73.3} )^4}[/tex]
Find out more on equation at: https://brainly.com/question/2972832
Use the equation for variance below, along with the given data set, to answer the following questions. sigma squared = startfraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n endfraction what does the numerator evaluate to? what does the denominator evaluate to? the variance equals:
Answers
The given equation will be [tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]
What will be the value of variance?From given data - sigma squared = start fraction (x 1 minus mu) squared (x 2 minus mu) squared ellipsis (x n minus mu) squared over n end fraction
The equation formed will be
[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]
What does the numerator evaluate-
The numerator contains the difference between the data and the mean which means that it shows how much the data is varied from its mean.
What does the denominator evaluate to?
The denominator represents the number of the given data. It is the total number of data given for the analysis.
The variance is the variation of each data from its mean.
Thus The given equation will be
[tex]\sigma ^2=\dfrac{(x_1-\mu)^2+(x_2-\mu)^2+...........(x_n-\mu)^2}{N}[/tex]
To know more about variance follow
https://brainly.com/question/15858152
Answer:
94, 5, 18.8
Step-by-step explanation:
second part: 4.34
C
Find the product
- ab and ac
Answers
Answer:
-a square bc
Step-by-step explanation:
-ab(ac)
= - (a*a*b*c)
= - a to the power 2 and bc
= -a square bc
Answer:
-a square bc
Step-by-step explanation:
trust
Which expression is equivalent to 1/2(16x+2)+5?
A:8x+6
B:8x+7
C:14x
D:15x
Answers
Answer:
A is the answer!
Sammie is driving to her cottage with her family. The drive 675 miles in 9 hours. What is the unit rate in miles divided by hour
Answers
Answer:
75
Step-by-step explanation:
miles driven/hours= answer
Answer:
75 miles per hour
Step-by-step explanation:
miles/hours
675/9
75/1 or 75 miles / hour
On the last day of school, Kendrick wants to bring in homemade breakfast biscuits for his classmates. He makes a batch of 25 biscuits using 8 cups of flour. How much flour is in each biscuit?
Answers
Answer:
0.32 Cups of flour.
Step-by-step explanation:
Since He made a batch of 25 biscuits using 8 cups of flour, then each biscuit contain 8/25 Cups of flour.
In each biscuit, there are 8/25 cups of Flour.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, On the last day of school, Kendrick wants to bring in homemade breakfast biscuits for his classmates.
Since,
He makes a batch of 25 biscuits using 8 cups of flour.
So,
For 25 biscuits, it required flour = 8 cups
Thus, from the proportionality
For 1 biscuit, it required flour = 8/25 cups
Therefore, there are 8/25 cups of flour is in each biscuit.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
10) Sunrise Homes would like to build high rise apartment buildings in
Wilmington, NC. The city of Wilmington will not allow more than 3,000 people per
square mile. The population of Wilmington is 119,045 and covers a land mass of
41.4 square miles. Can Sunrise Homes build their apartment building? Explain
your reasoning and show your work.
Answers
Sunrise Homes could build their apartment building without problems, since the land mass of the city would not be exceeded.
People calculationGiven that Sunrise Homes would like to build high rise apartment buildings in Wilmington, NC, and the city of Wilmington will not allow more than 3,000 people per square mile, and the population of Wilmington is 119,045 and covers a land mass of 41.4 square miles, to determine if Sunrise Homes could build their apartment building the following calculation must be made:
119,045 / 3000 = X39.68 = XTherefore, Sunrise Homes could build their apartment building without problems, since the land mass of the city would not be exceeded.
Learn more about people calculation in https://brainly.com/question/13806160