Answers
Answer:
x = 50 and y = 10
Step-by-step explanation:
The drawing shows several equal sides. The triangles are a reflection of each other, so their angles will be the same.
Take the top and bottom angles:
2x + 5 and 3x - 45
They are equal, so:
2x + 5 = 3x - 45
-x = -50
x = 50
The angle y will have the same value as the one below it in the bottom triangle. Add the angles in the lower triangle and since the sum of the angles in a triangle is always 180, we can say:
y + (8y-15) + (3x-45) = 180
Rearrange:
y = 180 - (8y-15) - (3x-45)
y = 180 - 8y + 15 - 3x + 45
9y = 180 + 15 - 3x + 45
Since x = 50:
9y = 180 + 15 - 3*(50) + 45
9y = 180 + 15 - 150 + 45
9y = 90
y = 10
Related Questions
A 2 inch pulley on an an electric motor that runs at 600 rpm is connected by a non slip belt to a 4 inch radius pulley on a saw arbor. The radius of the saw blade is 8 inches.
A) Which of these quantities is the same for both the 2 inch and 4 inch radius pulleys? V, The Translational Speed OR W, The Rotational Speed.
B) Find the value of W in rads/min for the 2 inch radius pulley. Answer in terms of pi.
C) Find the value of W for the 4 inch radius pulley. Answer in terms of pi.
D) Find the Translational Speed, V, of a saw tath in inches/min. Answer in terms of pi.
Answers
B no ........................
4000 families were randomly selected for a survey. 50% of them read the newspaper in nepali language, 45% read it in English language and 25% read in neither of these languages. How many families read the newspaper in both the languages? Also find the number of families who read exactly one of these papers.
Answers
Answer:
2000 families read the newspaper in the Nepali language.
1800 families read it in the English language.
3800 families read the newspaper in both.
Step-by-step explanation:
#1. individual
convert % to decimal ( x ÷ 100 )
0.5 x 4000 = 2000
0.45 x 4000 = 1800
#2. together
2000 + 1800 = 3800
OR
50 + 45 = 95
95 ÷ 100 = 0.95
0.95 x 4000 = 3800
find the measure of each variable
Answers
Answer:
m∡r = 35°
m∡t = 145°
m∡u = 35°
m∡v = 90°
m∡w = 125°
Step-by-step explanation:
m∡r = 180-(134+11)
= 180 - 145
m∡r = 35°
m∡r + m∡t = 180°
35 + t = 180
m∡t = 145°
m∡t + m∡u = 180°
145 + u = 180
m∡u = 35°
m∡u + m∡v + 55° = 180°
35 + 55 + m∡v = 180
m∡v = 90°
m∡w + 55° = 180°
m∡w = 125°
For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15
Answers
Answer:
the answer is A. it good answer
Help please serious answers only
Answers
Step-by-step explanation:
1 Use the Quadratic Formula.
x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}
x=
30
2+2
14
,
30
2−2
14
2 Simplify solutions.
x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}
x=
15
1+
14
,
15
1−
14
Done
Is there a proportional relationship between category 1 and Category 2 in the table below
Answers
Answer: Please upload the image or PDF.
f(x)=4x+6 g(x)=4x-6 if g(x)=f(x)+k what is the value of k
Answers
Answer:
k=-6-6=-12
Im pretty sure that's the answer
PLEASE HELP ASAP!!
Complete this item.
For the following figure, can you conclude that l || m? Select true or false.
Answers
Answer:
true
Step-by-step explanation:
Line l and line m are parallel to each other which means the statement is true.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The statement is True !
In the given figure, the two lines are parallel to one another ~ because pair of corresponding angles are equal.
please help me im only looking for real answers
if you put a link to an inappropriate site i WILL report it
Answers
Answer: y=3/2x
Step-by-step explanation:
First, to find the equation, we can figure out that the cost depends on how many tickets are bought. We can use cost as our y and # of tickets as our x.
An equation in slope intercept form is as follows:
y=mx+b
To get our slope, we must figure out the relationship between the cost and the number of tickets, or the y and the x.
We can use the slope formula, [tex]\frac{y2-y1}{x2-x1}[/tex], to find the slope, m.
[tex]\frac{3-6}{2-4}[/tex] = [tex]\frac{3}{2}[/tex]
Thus, the slope of the equation is 3/2, making our final equation be y=3/2x.
A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solution contains 65% pure antifreeze. The company wants to obtain 195 gallons of a mixture that contains 20% pure antifreeze. How many gallons of water and how many gallons of the premium antifreeze solution must be mixed?
Answers
Answer:
Five Gallons Of Water
Step-by-step explanation:
If u mixed it to Antifreeze And U have A Premium Solution U can Mixed it
can somebody help me/tell me how to do these?
Answers
Hi! I'll try to help
It gives you two equations, one for "x" and one for "y"
All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.
y=4x
3x-y=1
Since we know that "y" is the same as 4x, you can rewrite the equation as
3x-4x=1
Next, all you have to do is combine like terms as solve "3x-4x" which is -x
Let's rewrite the equation, then:
-x=1
You can simplify it to
x=-1
by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive
What temperature does the thermometer show?
Answers
Answer:
-2°C is the answer
Step-by-step explanation:
Hope this helps:)
About how many times larger is 12 x 10(4) compared with 3 x 10(5)?
0.3
0.4
0.9
1.2
*the ones in parentheses are exponents
Answers
0.4
Explanation:
when you simplify both terms you get 120,000 and 300,000. then you divide the first number by the second number, which gives you 0.4
hope this helps!
factorise this (x-6)(x+2)
Answers
Answer:
Its already in factored form.
Step-by-step explanation:
Answer:
x^2 - 4x - 12
Step-by-step explanation:
Using FOIL (first, outside, inside, last), multiply each term in the order:
you should get ---> x^2 + 2x - 6x - 12
now, add like terms
you should get ---> x^2 - 4x - 12
Help me with my math work please! Whoever helps gets 50 points! Thnx!
Answers
Answer:
6) y=-2
7) w=15
8) x=1
Find the value of x
please helppppp!!!!
Answers
Answer:
x = 3
Step-by-step explanation:
The two marked angles form a linear pair, so are supplementary. Their sum is 180°.
(3x +136)° +(5x +20)° = 180°
8x +156 = 180 . . . . . . . . . . . divide by °, collect terms
8x = 24 . . . . . . . . . . . . . . subtract 156
x = 3 . . . . . . . . . . . . . . divide by 8
_____
Additional comment
We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).
Evaluate the expression shown below and write your answer as a mixed number in simplest form.
Answers
The answer would be -8 1/6.
5/6 x 9/5...............................................................help asap
Answers
Step-by-step explanation:
5/6 ×9/5
Multiply the denominators and the numerators separately; that is:
5×9 and 6×5
45 and 30
=45/30
=3/2(simplified)
Answer:
1.5
Step-by-step explanation:
Which is the graph of y = [x]-2?
Answers
Answer:
Step-by-step explanation:
number 1
What is the value of t?
t − 122 = 2t − 3
A. t = -2
B. t = -6
C. t = 6
D. t = 2
Answers
Answer:
-39 2/3
Step-by-step explanation:
t - 122= 2t - 3
subtract 't' from each side to get:
-122 = 3t - 3
add 3 to each side to get:
-119 = 3t
divide each side by 3 to get:
t = -39 2/3
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Answers
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
On her multiple choice math test, 1720 of Lydia's answers are correct. What is the ratio of correct to incorrect answers for Lydia on her test?
Answers
Answer: [tex]\frac{17}3}[/tex] or 17:3
Step-by-step explanation:
Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:
[tex]\frac{17}3}[/tex] or 17:3
Since this ratio is already in simplest terms, this is the final answer.
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answers
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
A line passes through the points (9,6) and (6,5). What is its equation in slope-intercept form?
Answers
Answer:
Y=X/3+3
Step-by-step explanation:
M= Y2-Y1/X2-X1
= 5-6/6-9
= -1/-3
= 1/3
sub x=6, y=5, M=1/3 into Y=MX+C
5=6/3+C
5=2+C
5-2= 2+C-2
3=C
how does 9 + 9 = 6 ?
Answers
Answer:
it does not, it equals 18
Step-by-step explanation:
9+9=18 - true
9+9=6 - false
9. The perimeter of the rectangle below is 65 inches.
2x
a. What is the value of x?
32x + 1
b. What are the dimensions of the rectangle?
Answers
65*2x=_________
32x+1=_________
x=65*2x=32x+1
`this is the solution `
truncate 4087.2 to the tens
Answers
Answer:
4080
Step-by-step explanation:
When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...
4080
_____
When a number is truncated, there is no rounding.
Explanation:…
Explain how to calculate and find 32% percent of 150.
Correct answer gets brainiest
Answers
Answer:
48
Step-by-step explanation:
You can easily find the percent of a number by multiplying the percent in decimal format (0.32) by the number you want to find the percent of.
150 * 0.32 = 48
Step-by-step explanation:
when finding the percentage of a number, multiply the number by the percentage's decimal form.
here's an example: 20% of 300
20% is 20/100 which is 0.20
now we just multiply
0.20×300=60
now for 32% of 150
32%--->32/100---->0.32
0.32×150=48
there you go! hope that helped
The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?
Answers
Explanation:
Let x = the first number
Let y = the second number
From what they give us, we know:
x - y = 56
5y = x + 4
Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.
5y = x + 4
5y - 4 = x or x = 5y - 4
x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15
To find the other variable (number), substitute that value in either equation.
x - y = 56
x - 15 = 56
x = 71
To check the solutions, substitute both variables into each equation to make sure they work.
x - y = 56
71 - 15 = 56
56 = 56
5y = x + 4
5*15 = 71 + 4
75 = 75
if the tank length is 24 inch and width is 12 inch then how much litre of water is in it?
Answers
Answer:
Step-by-step explanation:
How to Estimate Aquarium Water Volume
You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.
You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.
Tank Volume Formulas
See the volume formulas for various aquarium fish tank styles below.
Rectangular Tank Formula
tank volume = l × w × h
l = tank length
w = tank width
h = tank height