Answer:
m∠F = 90°
Step-by-step explanation:
By the property of a kite,
"One pair of the opposite angles are congruent"
m∠E ≅ m∠G
m∠E = m∠G = 113°
Sum of the interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides of the polygon
For a kite, n = 4
Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°
= 360°
Therefore, m∠E + m∠F + m∠G + m∠H = 360°
113° + m∠F + 113° + 44° = 360°
m∠F = 360° - 270°
m∠F = 90°
John sells appliances for a living. He sold a
dishwasher for $475. If he makes 20%
commission, how much money will he make?
Answer:
95$!
Step-by-step explanation:
475 x 20% = 95
Find the measure of < FEG
A call center requires every employee to make 280 calls each week. Employees work 5 days a week.
How many calls should an employee make each day to meet the requirement if they make the same number of calls each day?
40
56
60
1,400
1,500
A plant is already 51 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then use this equation to find the plant's height after 12 months
i) H = M + 52
ii) H = 25 + 52 = 77 cm
PLEASE SOMEONE HELP ME WITH THIS PROBLEM
Answer:
1.28
2. -3.5
3.-10.5
Step-by-step explanation:
1.-0.0035 · 12000+70= 28
2. -0.0035 ·21000+70=-3.5
3. -0.0035 ·23000+70=-10.5
I hope this helps
Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A
Write and evaluate an expression to show Veronica’s age.
Enter the correct answers in the boxes.
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years
1.
a.
- 12.5-(-12)
Noah said the value of this expression is -0.5. Is he correct? Explain or show your reasoning to prove
your answer.
Answer:
Yes he is correct!!!!!!
2) In a random survey of 500 women, 315 said they would rather be poor and thin than rich and fat; in a random survey of 400 men, 220 said they would rather be poor and thin than rich and fat. Is there sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat
Answer:
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
Step-by-step explanation:
Here
p1= proportion of women who would rather be poor and thin than rich and fat
p1= 315/500= 0.63
p2= proportion of men who would rather be poor and thin than rich and fat
p2= 220/400= 0.55
1) Formulate the hypothesis as
H0: p1>p2 against the claim Ha: p1 ≤ p2
2) Choose the significance level ∝0.05
3) The test Statistic under H0 , is
Z= p1^ - p2^ / sqrt( pc^qc^( 1/n1 + 1/n2))
pc^= an estimate of the common proportion
pc ^ = n1p1^ + n2p2^/ n1+n2
4) The critical region is Z≤ Z (0.05) = 1.645
5) Calculations
pc^ = 315+ 220/ 500+400= 535/900
pc^= 0.5944
and qc^= 1-0.5944= 0.4055
Thus
Z = 0.63-0.55/ sqrt ( 0.5944*0.4055( 1/500+ 1/400))
Z= 0.08/ sqrt (0.24108 (900/2000))
Z= 0.08/√0.10849
Z= 0.242887
Conclusion :
Since the calculated value of Z= 0.242887 is less than Z (0.05) = 1.645 and falls in the critical region we reject the null hypothesis and conclude that there is not sufficient evidence to show that the proportion of women who would rather be poor and thin than rich and fat is greater than the proportion of men who would rather be poor and thin than rich and fat.
PLSSS HELPPP DUE SOON ILL GIVE BRAINLESS
Answer:
D
Step-by-step explanation:
A, B, and C are not linear functions
D would be y=x/2
If you graphed y=x/2, you would get the points (4, 2), (7, 3.5), (8, 4), and (10, 5)
It's more obvious if you notice that y is half of x.
Solve the system of equations by the substitution method.
x = 3y -4
5x - 2y = 19
Answer:
g
Step-by-step explanation:
f(x) = -x - 4
g(x) = 2x^2 + 4x + 11
Find: (f*g)(x)
Answer:
f(x)*g(x) = [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]
Step-by-step explanation:
I am assuming that * means multiplication
(f*g)(x) = f(x)*g(x)
So, f(x)*g(x) = (-x-4)([tex]2x^{2} + 4x + 11[/tex]) = [tex]-2x^{3} - 4x^{2} - 11x - 8x^{2} - 16x - 44[/tex]
= [tex]-2x^{3} - 12x^{2} - 27x - 44[/tex]
What is the solution to the equation? 8/2.1 = 15.3 someone plz help
Answer:
5.8
Step-by-step explanation:
What is $6 divided by $0.15 . In steps please
Answer:
40
Step-by-step explanation:
6/0.15 = 40
Together, Rahman and Elissa have 120 DVDs. Rahman's collection has 5 times as many DVDs as Elissa's collection. Which
equation can be used to determine the number of DVDs in Elissa's collection?
Answer:
B
Step-by-step explanation:
rahman's collection represents the 5x and Elissa's represents the singluar x. Rahman has five times as many as Elissa, 5x is five timas as big as x. this means x=20. Rahman has 5x20=100 DVDs and Elissa has just 20.
44 = t - 10; 52, 53, 54
avocado
Pneumonoultramicroscopicsilicovolcanoconiosis
Answer:
Yes Avocado :>
Step-by-step explanation:
i luv em avocados
State sales tax S is directly proportional to retail price p . An item that sells for 172 dollars has a sales tax of 12.32 dollars. Find a mathematical model that gives the amount of sales tax S in terms of the retail price p . Function: S ( p )
Answer:
[tex]s(p) =\frac{77p}{1075}[/tex]
Step-by-step explanation:
Given
s = sales tax
p = retail price
The variation is represented as:
[tex]s\ \alpha\ p[/tex]
s = 12.32 when p = 172.
Required: Determine function s(p)
[tex]s\ \alpha\ p[/tex]
Convert to equation
[tex]s = kp[/tex]
Where k is the constant of variation.
Make k the subject
[tex]k =\frac{s}{p}[/tex]
Substitute values for s and p
[tex]k =\frac{12.32}{172}[/tex]
Multiply by 100/200
[tex]k = \frac{1232}{17200}[/tex]
Simplify:
[tex]k =\frac{77}{1075}[/tex]
To get the function, we substitute 77/1075 for k in:[tex]s = kp[/tex]
[tex]s =\frac{77}{1075}p[/tex]
[tex]s =\frac{77p}{1075}[/tex]
Express as a function
[tex]s(p) =\frac{77p}{1075}[/tex]
What is the value of
3x² + 2y3
when x = -4 and y = -2
Answer:
80
Step-by-step explanation:
[tex]3x^2 + 2y^3[/tex] = [tex](3 * (-4))^2 + (2 * (-2))^3[/tex] = [tex](-12)^2 + (-4)^3[/tex] = [tex]144 + (-64) = 80[/tex]
I NEED HELP ASPPPP! GIVE POINT IF YOU HELP!
Answer: All you have to do is since one batch needs 1 1/3 cup of walnuts multiply 1 1/3 to 3 3/4 = 3 1/4 cups
Step-by-step explanation:
Consider the equation 4x=8.
Which value could be substituted x to make the equation TRUE?
Answer:
2
Step-by-step explanation:
4 times 2 is 8
Data on U.S. work-related fatalities by cause follow (The World Almanac, 2012). Cause of Fatality Number of Fatalities Transportation incidents 1795 Assaults and violent acts 837 Contact with objects and equipment 741 Falls 645 Exposure to harmful substances or environments 404 Fires and explosions 113 Assume that a fatality will be randomly chosen from this population. Round your answers to four decimal places. a. What is the probability the fatality resulted from a fall
Answer:
0.1634 = 16.34% probability the fatality resulted from a fall
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
1795 + 837 + 741 + 645 + 404 + 113 = 4535 total fatalities.
Of those, 741 from falls.
741/4535 = 0.1634
0.1634 = 16.34% probability the fatality resulted from a fall
PLEASE I NEED HELP SOMEBODY!
What is the decimal value of ⅖. Use factors of 2 and 5 to convert fraction into decimal. :
What is the decimal value of 5/25. Use Equivalent Fractions to convert fraction into decimal. :
Answer:
0.4 and 0.2.
Step-by-step explanation:
For the first problem, you divide 5 by 2.
[tex]\frac{2}{5} = 0.4.[/tex]
This gives you 0.4
For the second problem, we simplify the fraction, first.
[tex]\frac{5}{25} = \frac{1}{5} .[/tex]
Then, we divide 1 by 5.
[tex]\frac{1}{5} = 0.2.[/tex]
This gives you 0.2.
HELPP
Which of the following best represents the equation of the line shown on the
graph below?
Answer:
free d ddddddd
yes fast
????
What kind of growth model (pattern) is shown in the table?
X
1
2
3
4.
5
у
5
25
125
625
3,125
square root
linear
expggential
quadratic
Answer:
Step-by-step explanation:
exponential
PLEASE HELP IM DYING RN.
WHAT IS X? 6(x+2)=2(x-3)
Answer:
-9/2
Step-by-step explanation:
6(x+2)=2(x-3)
6x+12=2x-6
6x-2x+12=-6
4x+12=-6
4x=-6-12
4x=-18
x=-18/4
simplify
x=-9/2
I WILL MARK BRAINLIEST
The_______ allowed farmers to plow fields using horses.
(heavy plow/horse collar)
Answer:
the answer will be hores collar
Step-by-step explanation:
thank you
Answer:
Horse Collar
Step-by-step explanation: I got it correct :D sorry im a bit late, that being said, this is for people who want an answer
Darell sets a savings goal each month. After the first two weeks of December, Darell had saved $45.18. To reach his goal that month, he still needed to save $29.82 more.
Answer:
dont know but have a good day
7. Use the Unit Circle to find the exact value of the trig function,
sin(180°)
As a fraction in simplest terms, what would you multiply the first number by to get the second?
PLEASE HELP ME :(
I will give brainliest plus 40 points!
Answer:
28/x=34
28/34=x
x=0.825is the required answet
Answer:
x = 17/14
Step-by-step explanation:
28 * x = 34
x * 28 = 34
Let's divide by 28 on both sides:
x = 34/28
Let's simplify by dividing both 34 and 28:
x = 17/14
17 is a prime number, so we can't simplify any further.
x = 17/14