Answers
Answer:
x = 12
Step-by-step explanation:
Given:
m<BCF = 4x°
m<CFE = 11x°
Required:
m<BCF and m<CFE
SOLUTION:
m<BCF + m<CFE = 180° (same side interior angles are supplementary)
Substitute
4x + 11x = 180
15x = 180
Divide both sides ny 15
15x/15 = 180/15
x = 12
Related Questions
Footlocker in the mall is having a 25% off sale on all tennis shoes. Joe paid $67.50 for his
favorite tennis shoes that were on sale. What was the original price of the shoes?
Answers
Answer:
The original price of the shoes was $90.
Step-by-step explanation:
25% off means the price Joe paid for it is 75% of the original price.
Set up an equation:
75/100 = 67.50/x
Cross multiply
75 × x = 100 × 67.50
75x = 6750
x = 90
Check our work:
First solve for 25% off of 90 (our answer).
25% = 0.25
90 × 0.25 = 22.50
Next, subtract the discount from 90.
90 - 22.50 = 67.50
67.50 was what Joe paid so this is correct.
A circular clock with a circumference of 88cm is mounted on a wall.How much area of a wall didn't occupy
Answers
Answer:
616 cm^2
Step-by-step explanation:
Steps to derive the answer
1. we are going to first determine the radius from the circumference
2. we would calculate the area
Circumference of a circle = 2nr
n = 22/7
r = radius
88 = 2 x 22/7 x r
Divide both sides of the equation by 2 x 7/22
r = 14
Area of a circle = nr^2
3.14 x 14^2 = 616 cm^2
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients Standard Error t Stat p-value Intercept −0.81 0.36 −2.25 0.0293 x 2.94 1.20 2.45 0.0182 d1 −13.00 16.25 −0.80 0.4278 d2 5.52 1.50 3.68 0.0006 a. Compute yˆ for x = 262, d1 = 1, and d2 = 0; compute yˆ for x = 262, d1 = 0, and d2 = 1. (Round your answers to 2 decimal places.) yˆ x = 262, d1 = 1 and d2 = 0 x = 262, d1 = 0 and d2 = 1
Answers
Answer:
The answer is "789.03 and 806.16".
Step-by-step explanation:
[tex]y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)[/tex]
For point a:
Calculating the value for [tex]y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)[/tex]
[tex]= -0.45 + 801.36 -11.88 + 0\\\\= 789.03[/tex]
For point b:
Calculating the value of [tex]y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)[/tex]
[tex]= -0.45 + 801.36 -0 + 5.25\\\\= 806.16[/tex]
The law of large numbers tells us that the distribution of a large random sample should resemble the distribution from which it is drawn.
a. True
b. False
Answers
Answer:
b. False
Step-by-step explanation:
The law of large numbers, in statistics, says that the experimental average found in a large number of trials should be very close to the theoretical probability. It does not say anything about distribution. So the answer to this question is False, which is given by option b.
Please help
Which of the following...
Answers
Answer:
<7
Step-by-step explanation:
Answer:
<7
Step-by-step explanation:
I think anything across wouldnt be congruent
The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden
Answers
Step-by-step explanation:
Given :-
The length of the garden 8m greater than 2 times the width.
Area of the garden is 280 m²
Let us consider the length as x and width as y.
Sp, we can day length as :-
x = 8 + 2y ---(1)
Now, we know that:-
Area of Rectangle = Length × Breadth
280 = x * y
We can replace the value of x now,
280 = y × ( 8 + 2y)
280 = 8y + 2y²
2y² + 8y - 280 = 0
y² + 4y - 140 = 0
Factorise it.
(y -10)(y + 14)
Cancelling -ve value, we get the width as 10 metres.
Hope it helps :)
Answer:
Step-by-step explanation:
Width = w
Length = 2w + 8
Area of rectangular garden = 280 square meter
length * width = 280
(2w + 8 ) *w = 280
2w * w + 8*w = 280
2w² + 8w = 280
2w² + 8w - 280 = 0
Divide the whole equation by 2
w² + 4w - 140 = 0
w² + 14w - 10w - 14 *10 = 0
w(w + 14) - 10(w + 14) = 0
(w + 14)(w - 10)= 0
w - 10 = 0 {Ignore w + 14, as measurements will not be -ve}
w = 10 m
l = 2*10 +8
= 20 +8
l = 28 m
can somebody please help me out ?
Answers
Answer:
30
Step-by-step explanation:
238,900/7,917=30.1755
Answer:
30
Step-by-step explanation:
You divide the distance to the Earth's diameter:
238,900/7,917=30
How do I slove this question.
Answers
Answer:
c
Step-by-step explanation:
A cartographer used a scale of 1 inch:300 meters for the heights of different mountains. If the actual height of one of those mountains is 3,600 meters, what is its height on the map?
Answers
Answer:
The height on the map is of 12 inches.
Step-by-step explanation:
Scale of 1 inch:300 meters
This means that each inch on the map represents 300 meters of real height.
If the actual height of one of those mountains is 3,600 meters, what is its height on the map?
Using proportions, by a rule of three:
1 inch - 300 meters
x inches - 3600 meters
Applying cross multiplication:
[tex]300x = 3600[/tex]
[tex]x = \frac{3600}{300}[/tex]
[tex]x = 12[/tex]
The height on the map is of 12 inches.
please help ASAPPPPP 13 points
Answers
Answer:
x^5/3y^1/3- 2nd option
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just divide the exponent by 3
what percent of 29 is 3 in equation form
Answers
Answer:
3=p*29
Step-by-step explanation:
Answer:
0.87
Step-by-step explanation:
(29×3) ÷ 100
but I'm not sure):
Adrian is thinking of different decimal numbers. He gives the following clues
- Each decimal is smaller than 1
- The tenth digits in each decimal is odd.
- when the decimals are converted to fractions, the numerators total 15.
what decimal numbers could adrian be thinking of? find all the possibilites.
Answers
Answers:
Some possible answers are: 0.15, 0.3, and 0.75
Step-by-step explanation:
[tex]0.15=15/100[/tex]
[tex]0.3=15/50[/tex]
[tex]0.75=15/20[/tex]
22. A figure is shown.
8x
7x
44.40
What is the measure, in degrees, of the highlighted angle?
Answers
Answer: 9.04
Step-by-step explanation:
What is the length of BC?
5
12
A.7
B.12
C.13
D.17
Answers
Answer:
its A. 7
Step-by-step explanation:
What is the approximate volume, in cubic inches, of a basketball with a diameter of 9 inches?
O 3,053.63
O 858.91
О 214.71
O 381.70
Answers
Answer:
858.91
Step-by-step explanation:
If Jacob's salary of $2,100 per month is increased by 5%, what is her new monthly salary?
Answers
Answer:
2,205
Step-by-step explanation:
Chrissy said, "on summer vacation i spent 2 1/2 weeks with my uncle and three weeks more with my aunt than with my uncle." How many weeks did she spend with her uncle and her aunt? Use fraction strips or number lines to find the sum.
Answers
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
Answers
9514 1404 393
Answer:
193.5 square units
Step-by-step explanation:
The area formula for this situation is ...
A = 1/2Pa
where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...
A = (1/2)(5×10.6)(7.3) = 193.45
To the nearest tenth, the area is 193.5 square units.
Michelle started her dance class at 6:45 PM. She spent 85 minutes in dance class. At what time did Michelle finish her dance class?
Answers
Answer:
Michelle finished at 8:10 pm.
Step-by-step explanation:
85 mintues can be simplified to 1hr and 25 minutes, so add 85 to 6:45 and you get 8:10 :) If im wrong im sorry
The time at which Michelle finish her dance class is given by the equation A = 8 : 10 PM
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the time at which Michelle finished her class be A
Now , the time required for the dance class = 85 minutes
So , the time required for the dance class = 1 hour 25 minutes
The time at which Michelle started her class = 6 : 45 PM
So , the time at which Michelle finished her class A = time at which Michelle started her class + time required for the dance class
Substituting the values in the equation , we get
The time at which Michelle finished her class A = 6 : 45 PM + 1 hour 25 minutes
On simplifying the equation , we get
The time at which Michelle finished her class A = 8 : 10 PM
Hence , the equation is A = 8 : 10 PM
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ6
18. A balloon artist wants to make 6 different
kinds of balloon animals. She needs
4 balloons to make each animal. If the
balloons come in packs of 8, how many
packs will she need to buy?
Answers
Answer:
She need 3 packs of balloons
Find the quotient (X^2+x-20)(x-4)
Answers
Answer:
x + 5
Step-by-step explanation:
[tex]\frac{x^{2} +x-20}{x-4}[/tex]
[tex]\frac{(x-4)(x+5)}{x-4}[/tex]
x + 5
Lauren bought 4 bags of popcorn for $3. What is the unit rate per bag of popcorn?
Answers
Find y
Round to the nearest tenth:
28°
X
350 ft
y
y = [ ? ]ft
Enter
Answers
Answer:
y = 658.3 ft
Step-by-step explanation:
Angle of depression = angle of elevation = 28° (alternate angles are congruent)
Reference angle = 28°
Side length opposite to reference angle = 350 ft
Adjacent = y
Apply trigonometric function, TOA:
Tan 28 = Opp/Adj
Tan 28 = 350/y
y*Tan 28 = 350
y = 350/Tan 28
y = 658.254263 ≈ 658.3 ft (nearest tenth)
Shelly wants to have 6 rose bushes planted on her property. She asked a landscaping company to give her a bid. The contractor wanted $600 to buy and plant the bushes. Shell thinks she can do it by herself and save money. The bushes cost $40 each. How much will Shelly save by planting the bushes herself? (answer in only numbers) $
Answers
Answer:
$360
Step-by-step explanation:
If Shelly wants 6 rose bushes, and each bush costs $40, then you can multiply 6 by 40 to find the total amount of money Shelly will spend on them if she plants them herself. 6 x 40 = 240. You can then subtract 240 from 600 to find the amount of money she saves. 600 - 240 = 360
Answer:
$360
Step-by-step explanation:
im pretty sure its $360 because each bush is 40, 40x6=240. The contracter wants 600 when the bushes only cost $240 altogether. take 600 and subtract 240. you get 360:). hope that helps!!
Carol is on the school track team. To prepare for upcoming race,he plans to run 217 miles total over the next 31 days.
Answers
Nancy bought a mobile phone marked at $720 at a discount of 20% and she had to pay 5% tax. If Nancy had to put 20% of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?
$___
Answers
Answer:
120.96
Step-by-step explanation:
What percent of Miss Colwell's day does she spend watching Netflix if she
watches 4 hours a night?
a) 25%
b) 6%
c) 16.7%
d) 33.33%
Answers
A day is 24 hours.
She watches tv 4 out of 24 hours.
4/24 = 1/6 = 0.167 x 100 = 16.7 %
The answer is C. 16.7 %
A farmer, Mrs. Many, grows and sells two popular varieties of tomatoes: Better Boy tomatoes and Big Beef tomatoes. Both varieties of tomato take about 75 days to mature. She is designing a study to test the effectiveness of a new soil additive to increase tomato growth. She has 40 Better Boy tomatoes and 60 Big Beef tomatoes for her experiment.
Required:
a. Preliminary research suggests that Better Boy tomatoes and Big Beef tomatoes respond differently to the additive. What sort of experimental design would you choose for this study, and why?
b. Explain why an experiment involving 40 Better Boy tomatoes and 60 Big Beef tomatoes is preferable to one involving 4 Better Boy tomatoes and 6 Big Beef tomatoes.
c. Describe a design for this experiment. Be sure to include a description of how you assign individuals to the treatment groups.
Answers
Answer:
I believe the answer is B tell me if I'm correct please
Which of the following is NOT a negative result of unemployment?
A. promotion
B. anxiety
C. depression
D. subsidized housing
Answers
Answer: A
Step-by-step explanation: Promoting somebody is not a bad result of unemployment it might just mean you got transferred to another store.
Answer the question in the pic
Answers
Answer:
no
Step-by-step explanation:
using Pythagoreans theorem
a^2+b^2=c^2
3^2+5^2≈6^2
9+15=34
not 36 so no
Answer :
Here, It is stated that the triangle having sides 3, 5 and 6 respectively. So, we have to prove that whether the given triangle is right angled triangle or not.
For That :
We will be using the Pythagoras Theorem
Given Sides :- Side - A → 3 Side - B → 5Side - C → 6According to the Pythagoras Theorem , the sum of the square of Base side and perpendicular side is equal to the square of the longest side i.e, hypotenuse.
Pythagoras Theorem :
⠀⠀⠀⠀⠀⠀[tex]{\bullet \: {\boxed{\sf {AC^{2} = AB^{2} + BC^{2}}}}} \\ \\ [/tex]
So, here the longest side is Side A of measurement 6.
So, Now
Applying Pythagoras Theorem in it, we get :
The three sides , so let's plug the values in the formula :-
[tex]\dashrightarrow\:\:\sf AC^{2} = AB^{2} + BC^{2}\\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 6^{2} = 3^{2} + 5^{2}\\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 36 = 9 + 5^{2}\\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 36 = 9 + 25 \\ \\[/tex]
[tex]\dashrightarrow\:\:\sf 36 \neq 34 \\ \\[/tex]
[tex]{\underline{\sf {L.H.S \neq R.H.S}}} \\ [/tex]
If in a triangle, the square of the hypotenuse is not equal to the sum of the squares of the other two sides, then the given triangle and doesn't satisfy pythagoras theorem. Hence, Its not a right angled triangle.