Answers
Answer:
m∡B = 120°
Step-by-step explanation:
base angles are equal
adjacent angles are supplementary so:
4x+20 + 3x-15 = 180
7x + 5 = 180
7x = 175
x = 25
∡B = 4(25) + 20
∡B = 120°
Answer:
39.6
Step-by-step explanation:
(3x-15)+(4x+20)+2x=360
9x+5=360
9x=355
*Divide each side by 9*
X=39.4
*SUBSTITUTE X*
3(39.4)-15=103.2
4(39.4)+20=177.6
*ADD THE TOTALS FROM ABOVE*
103.2+177.6= 280.8
360-280.8=79.2
*DIVIDE THE TOTAL BY 2*
79.2/2=39.6
*CHECK*
3(39.4)-15=103.2
4(39.4)+20=177.6
103.2+177.6+39.6+39.6=360 IS CORRECT.
Hope this helps! :)
Related Questions
find three consectutive integers such that the sum of the second and third is -17
Answers
Answer:
-7, -8, -9
Step-by-step explanation:
-8 + -9 is -17
A water tank is being filled by two inlet pipes. Pipe A can fill the tank in 4 hours, while both pipes
together can fill the tank in 2 hours. How long does it take to fill the tank using only Pipe B?
Answers
2 Hours
this is because one pipe takes 4 hours, and if both pipes take 2 hours, that is cutting the time in half, meaning both pipes pour the same amount and take the same time.
hope this is helpful!
What is the solution to -2(8x – 4) < 2x + 5?
o xs
oxca
O x>6
O x<6
Answers
[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]
Ayo runs a fairground game.In each turn, a player rolls a fair dice numbered 1 - 6 and spins a fair spinner numbered 1 - 12.It costs a player £1.40 for a turn.A player can win £6 or £3 as in the diagrams:If 216 people are to play, how much profit can Ayo expect to make?
Answers
Using the definition of expected value, it is found that Ayo can be expected to make a profit of £55.8.
The expected value is given by the sum of each outcome multiplied by it's respective probability.
In this problem:
The player wins $6, that is, Ayo loses £6, if he rolls a 6 and spins a 1, hence the probability is [tex]\frac{1}{6} \times \frac{1}{12} = \frac{1}{72}[/tex].The player wins $3, that is, Ayo loses £3, if he rolls a 3 on at least one of the spinner or the dice, hence, considering three cases(both and either the spinner of the dice), the probability is [tex]\frac{1}{6} \times \frac{1}{12} + \frac{1}{6} \times \frac{11}{12} + \frac{5}{6} \times \frac{1}{12} = \frac{1 + 11 + 5}{72} = \frac{17}{72}[/tex]In the other cases, Ayo wins £1.40, with [tex]1 - \frac{18}{72} = \frac{54}{72}[/tex] probability.Hence, his expected profit for a single game is:
[tex]E(X) = -6\frac{1}{72} - 3\frac{17}{72} + 1.4\frac{54}{72} = \frac{-6 - 3(17) + 54(1.4)}{72} = 0.2583[/tex]
For 216 games, the expected value is:
[tex]E = 216(0.2583) = 55.8[/tex]
Ayo can be expected to make a profit of £55.8.
To learn more about expected value, you can take a look at https://brainly.com/question/24855677
On Monday, 412 students went on a trip to the zoo. All 8 buses were filled and 4
students had to travel in cars. How many students were in each bus?
Let s = number of students on each bus?
Answers
Answer:
51
Step-by-step explanation:
Let x be the number of people in a bus. Since we have the total and the people in the car in addition to the number of busses, we can write an equation like this:
total students = (number of people in a bus) * (number of busses) + leftovers
Our equation we come up with is:
412 = s * 8 + 4
Solve
s*8=408
s=51
Based on the graph below, f(x) and g(x) where g(x) =f(x)+h are shown
Answers
Answer:
The value of h is 5
Step-by-step explanation:
Remember the if two lines are parallel and one is taller than the other and is asking for what that is the difference it is the y-intercept or what you call in this problem "h" since h is 5 digits above the answer is 5
Which type of graphs can show continuous data?
a. line graph
b. bar graph
c. line plot
d. pictograph
Answers
Answer:
bar and line
Step-by-step explanation:
A map of a nature park has a scale of 2 inches to 1.5 miles. There are two trails that are 8 inches apart on the map. What is the actual distance between the two trails?
Answers
Answer:
6 miles
Step-by-step explanation:
2 inches : 1.5 miles
8 inches : 4(2 inches)
8 inches : 4(1.5 miles)
8 inches : 6 miles
6 miles away
-Chetan K
The actual distance between the two trails is 6 miles.
Given the scale of the map is 2 inches to 1.5 miles, we can set up a proportion to find the actual distance between the two trails.
Let x represent the actual distance between the trails in miles. The proportion would be:
(2 inches / 1.5 miles) = (8 inches / x miles)
Now, solving for x:
2/1.5 = 8/x
Cross-multiplying:
2x = 1.5 × 8
2x = 12
Divide by 2:
x = 6
So, the actual distance between the two trails is 6 miles.
Learn more about proportion here:
https://brainly.com/question/1496357
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what is -4(2x - 3) equal
Answers
Answer:
-8x + 12
Step-by-step explanation:
-4(2x - 3)
then -4*2x and -4*-3(an even number of negative signs multiplied equals to a positive sign)
therefore= -8x + 12
i don't understand help me please math!!
Answers
Answer:
A. 315 degree
B. 6480 degree
C. 63^ over 2
D. 7^ over 4
E. 945 degree
hope it help:)
Marlee had a certain amount of money (x) in her bank
account. She deposited $60.00 from her grandmother
for her birthday. She then spent of the money in her account on rent that totaled $550. Which equation represents this situation?
Answers
Answer:
x-490=t
Step-by-step explanation:
Marlee has x money
She deposited $60 meaning adding $60 to the bank
So x+60
THen Marlee need to withdraw $550 from her bank to rent
So the equation is now
x+60-550
60-550 is -490
Thus:
x-490
(I will represent (t) as the money she has left for the equation)
Thus the equation is
x-490=t
Hope this helps!
What is the maximum point OR minimun point of this equation?
y = 1.8 ( x + 2.4 ) 2 + 2.4
Thanks for ur help!!!!!!!!
Answers
Complete the shape below so that AB is a line of symmetry
Answers
Find the area of this semi-circle with diameter,
d
= 60cm.
Give your answer rounded to 2 DP.
Answers
Answer:
3.14*15^2=706.5
706.5/2=353.25
Hope This Helps!!!
The area of the semi-circle with a diameter of 60 cm is approximately 1413 square centimeters.
What is the area of the semi-circle?A semicircle is formed by simply dividing a circle into exactly two halves.
Hence, the area of a semi-circle is half the area of a circle.
Area of semi-circle = 1/2 × πr²
Given the parameters:
Diameter d = 60 cm
Radius r = diameter/2 = 60/2 = 30 cm
Area =?
To determine the area of the semi-circle, plug the value of the radius into the above formula and simplify:
Area of semi-circle = 1/2 × πr²
Area of semi-circle = 1/2 × 3.14 × 30²
Area of semi-circle = 1/2 × 3.14 × 900
Area of semi-circle = 3.14 × 450
Area of semi-circle = 1413 cm²
The area is approximately 1413 square centimeters.
Learn more about the area of semi-circle here: https://brainly.com/question/464269
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8. If the weights of males are normally distributed with mean = 170 and standard deviation = 20, what weight (to the nearest
pound) would correspond with the 40th percentile?
A) 68
B) 165
C) 175
D) 162
E) none of the above
Answers
Answer:
E. none of the above
Step-by-step explanation:
20 doesnt fit any of these answers
The angle measures of an isosceles triangle are shown. Find the value of w.
Answers
Answer:
w= 7
Step-by-step explanation:
8w + 9w - 1 + 62 = 180
17w + 61 = 180
17w = 119
w = 7
4. Para el siguiente triángulo rectángulo, encuentra la medida del lado desconocido.
Answers
-2x(-3x +2)- (x+2)2
giúp tôi với!
Answers
Answer:
-32 or 4x -8
Step-by-step explanation:
-2 ( -3x + 2 ) : 6x - 4
= 6x -4 - 2 ( x + 2 )
- 2 ( x + 2 ) : - 2x -4
=6x - 4 - 2x - 4
= 6x -2x - 4 - 4
= 6x - 2x - 8
= 4x - 8
= -32
( Im not really sure what is the answer )
( the "x" is alphabet, not "times" )
Julie is a cashier. She can ring up 12 customers in 9 mintesutes. At the rate, how many minutes does it take for her to ring up 4 customers?
Answers
Answer:
5.2
Step-by-step explanation:
ok so we need to find the unit rate( how many customers per minute) and thats 12 divided by 9 which is 1.3 minutes per customer so now we need to find what 1.3 minutes is x4 customers. This brings us to 5.2.
An alloy is made with 3 gram of silver, 18 gram of copper, 6 gram of aluminium and 3 gram od zinc. Find what part of the total is used for each metal.
Answers
3+18+6+3 = 30
Now put divide each metal by 30 and multiply by 100 to get what percentage is each metal is of the alloy:
Silver- 3/30 x 100 = 10%
Copper- 18/30 x 100 = 60%
Aluminium- 6/30 x 100 = 20%
Zinc- 3/30 x 100 = 10%
(Ensure they all total 100% - which they do)
Dan works in the sales department for sporting goods company. Dan gets a 15% commission on every bike he sells. If Dan sold 227 bikes at $70 each, how much money did Dan make?
Answers
y is his total money earned.
x is how many units he sells
so if he sells 227 bikes it’s 70 • 227 which is 15,890 then times it by .15 because he makes 15% and it’s 2.383.5. so he made $2,383 50¢!
pls help me pls help me pls help me
Answers
Answer:
d. 210
Step-by-step explanation:
well for the first textbook you have 7 options
for the 2nd placeholder you have 6 options
and the 3rd you have 5
so its 7x6x5 which is 210 different combinations
thx for 50 points :D
You want to order posters to advertise your band. A company charges $109.95 for the first 100 posters and $65 for each additional 100 posters. Write an equation that represents the total cost y (in dollars) as a function of the number (in hundreds) of posters ordered, x. Find the total cost of 1000 posters.
Answers
The equation that represents the total cost as a function of the number (in hundreds) of posters ordered, x is f(y) = 109.95 + 65x
let
y = total cost
x = numbers in hundreds
cost of first hundred = $109.95
Cost of additional hundred = $65
f(y) = 109.95 + 65x
The total cost of 1000 posters
1000 - first hundred = 900
additional hundreds = 900/100
= 9
So,
f(y) = 109.95 + 65x
= 109.95 + 65(9)
= 109.95 + 585
= 694.95
f(y) = $694.95
Therefore, the total cost of 1000 posters is f(y) = $694.95
Learn more about linear function:
https://brainly.com/question/13136492
Find the value of x, y, and z.
Answers
i don’t know what the rest are
22.68 ÷ 14.65 ayuden pliss
Answers
Answer:
1.54
Step-by-step explanation:
will give brainliest
Answers
Answer: x > − 4
Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.
(Try to solve b. and c. with only these resources and if you still need help, let me know.)
The y-intercept of a line has the same value as its gradient. If this line cuts the curve y = [tex]x^{3}[/tex] – 2[tex]x^{2}[/tex] – 3x – 8 at x = 3, find the equation of the line.
Select one:
a. 2x − y + 2 = 0
b. 2x + y + 2 = 0
c. 2x + y − 2 = 0
d. None of these
Answers
Answer:
B. 2x+y+2+=0
Step-by-step explanation:
Given: x=3
First: you substitute for x in y=x^3-2x^2-3x-8
y=(3)^3-2(3)^2-3(3)-8
y=-8
Now all you have to do is plug y in each of the answers until you get 3 for x.
A. 2x-(-8)+2=0
2x+10=0
2x=-10
x=-5
B. 2x+(-8)+2=0
2x-6=0
2x=6
x=3
C. 2x+(-8)-2=0
2x-10=0
2x=10
x=5
on a beautiful autumn-like day, Kamar went for a run. He ran 6 miles away from his house. Later, he began to run back towards home, a distance of 3 miles. After taking a rest, he continued to run the last 3 miles to his house.
a) How far did he run in total? ____________
b) How far from home did he end up, at the end of the day? _____________
c) When he took a rest, how far was he from home? _________
d) When he took a rest, how far had he run? __________
Answers
Answer:
A) 12 miles
B) 0 miles
C) 3 miles
D) 9 miles
Step-by-step explanation:
I tried my best.. hope it helps!
giving brainliest to anyone who solves this question CORRECTLY WITH NO LINKS
5 ti the fifth power + 16 divided by 19 times 20 plus one equals ?????
Answers
Answer:
3307.31578947
Step-by-step explanation:
Answer:
I believe it's [tex]\frac{62839}{19}[/tex], or 3307.31578947
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
brainliest will be immensely appreciated uwu
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answers
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation: