Answers
Answer:
90 degrees
Step-by-step explanation:
The three angles of a triangle always add up to 180 degrees, so knowing this, all three of the measures given should add up to 180.
First, you need to solve for x:
S(x+10) + R(2x+60) + T(50+x) = 180
Add up all of the like terms:
10 + 60 + 50 = 120
x + 2x + x = 4x
So now you are left with 4x + 120 = 180
And solve for x:
4x/4 + 120/4 = 180/4
x + 30 = 45
x + 30-30 = 45-30
x = 15
Now that we have the value of x, plug it into the measure given for angle R:
(2x+60)
= (2(15)+60)
= (30 + 60)
= 90
So the measure of angle R is 90 degrees.
I hope this helped! :)
Related Questions
OK a quarter steam covers a 100' square feet how many courts should you buy to stay in the wheelchair ramp
Answers
Answer:
He should buy about 2 quart of stain
Step-by-step explanation:
Find the diagram attached
First we need to find the area of the given ramp
The ramp consists of two identical triangles, a larger and small rectangles
Since area of triangle = 1/2 * base * height
Area of the identical triangles = 1/2 * 25ft * 25/12 ft (Note that 1ft = 12in)
Area of the 2 identical triangles = 2* 625/24ft² = 625/12 ft²
Area of the large rectangle = Length * Width
Area of the large rectangle = 25 1/12 * 5
Area of the large rectangle = 301/12 * 5
Area of the large rectangle = 1505/12 ft²
Area of the small rectangle = 25/12 * 5
Area of the small rectangle = 125/12 ft²
Area of the figure = 625/12 + 1505/12 + 125/12
Area of the figure = (625+1505+125)/12
Area of the figure = 2255/12
Area of the figure = 187.917
Area of the figure = 187.917ft²
Since a quarter steam covers a 100' square fee, then;
1 quarter = 100ft²
x = 187.917ft²
Cross multiply
100 * x = 187.917
100x =187.917
x = 187.917/100
x = 1.87917
x ≈ 2
Hence he should buy about 2 quart of stain
Find the value of x
Answers
Answer:
dkeekek
Step-by-step explanation:
kddeejwkwnqnnwwnwwnwnwnwwnw
Answer:
use pythagoras theorem for solving this
value of x is 12 cm
Interpret the following Sigma Notation
n=152n
Answers
-8305
And in this form it would be
-151 + -302 + -435 -604 -755 + -906 + 1057 +-1208 + -1359 + 1510
An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an angle of 80°. About how tall is the figure?
round to the nearest tenth of an inch
Answers
Answer:
41.4 in
Step-by-step explanation:
(sin 80) opposite = x
hypotenuse 42
x = 42 * sin (80) = 41.4 in
Find the area of the shape shown below.
3
3
units?
Answers
Answer:
find the answer of the rectangle (7×3=21)
than find the area if one triangle and do 7/2 to get base then multiply 1/2base×height. because there are two triangles add the area to itself then add it to the area of the rectangle. the two triangles shoukd equal 21 together and 21 plus 21 equals 42.
Step-by-step explanation:
im sorry if this is incorrect but it should be right
NEED THIS DONE ASAP
If P(x) = -2(1 - x)2 +5, what is the value of
P(-3)?
Answers
Answer:
P(-3) = -1
Step-by-step explanation:
So just substitute the value of x in the equation:
Value of x is (-3)
So:
P(x) = -2(1 - x)2 +5
P(-3) = -2(1-(-3)) 2 + 5
P(-3) = -2(4) 2 + 5
P(-3) = -8 + 2 + 5
P(-3) = -6 + 5
P(-3) = -1
Ahmad throws dice find the probability that it is:not a 2
Answers
yah it's not probably it's not 2 mmmm
Please answer correctly! I will mark you as Brainliest!
Answers
Answer:
C
Step-by-step explanation:
trust me if you really need this done
Answer:
Angelo needs to use the formula V = [tex]\frac{4}{3} \pi (8.5)^3[/tex].
Step-by-step explanation:
The formula for finding the volume of a sphere is [tex]V=\frac{4}{3} \pi r^3[/tex], wherein the variable, r, is the radius. Diameter is one half of the radius; thus, it would be 17/2 = 8.5. Substitute the values into the equation (i.e. V = [tex]\frac{4}{3} \pi (8.5)^3[/tex]).
pls help 42−6×4(12)3=
Answers
Answer:
-822
Step-by-step explanation:
i just typed it in the calculator
but if you're doing it by hand, 1st multiply 4*12*3*6 and then subtract 42 from it
How can this expression be written another way?
32k + 24
Factor using the distributive property and the greatest common factor to write an equivalent expression
Enter your answer by filling in the boxes
32k + 24 = __ (__)
Answers
Hope this helps
Find the inverse of this function. Show your steps.
Hi, so, I'm like halfway done, but can you show me the steps to get to the inverse of this function, please? Also, is was what I have so far correct?
Thanks so much if you help!
Answers
Answer:
1cesrutherford and Global business is the next 3.some 7th round and 50th 3 7th round ♥ in my car is a
Find mzw.
X
po
w
(x + 12°
Need help
Answers
Answer:
∠ W = 51°
Step-by-step explanation:
Since WX is the diameter , then
∠ WYX = 90° ( angle in a semicircle )
The sum of the 3 angles in a triangle = 180° , then
x + x + 12 + 90 = 180
2x + 102 = 180 ( subtract 102 from both sides )
2x = 78 ( divide both sides by 2 )
x = 39
Then
∠ W = x + 12 = 39 + 12 = 51°
Find the equation of the exponential function represented by the table below:
Answers
Answer:
[tex]y=0.01(4)^x[/tex]
Step-by-step explanation:
14.
Mogaka and Ondiso working together can do a piece of job in 6 days. Mogaka
working alone takes 5 days longer than Ondiso. How many days does it take
Onduso to do the work alone?
(3mks)
Answers
Answer:
10 days
Step-by-step explanation:
Mogaka and Ondiso working together can do a piece of job in 6 days. Mogaka working alone takes 5 days longer than Ondiso. How many days does it take Ondiso to do the work alone?
Let us represent :
The number of days
Mogaka worked alone = x
Ondiso worked alone = y
Total days worked together = T
Mogaka and Ondiso working together can do a piece of job in 6 days.
Hence,
1/x + 1/y = 1/T
Mogaka working alone takes 5 days longer than Ondiso.
x = y + 5
Therefore:
1/y + 5 + 1/y = 1/6
Multiply all through by (y+5)(y)
= y + y + 5 = (y+5)(y)/6
= 2y + 5/1 = (y+5)(y)/6
Cross Multiply
6( 2y + 5) = (y+5)(y)
12y + 30 = y² + 5y
= y² + 5y - 12y - 30 = 0
= y² - 7y - 30 = 0
Factorise
= y² +3y - 10y - 30 = 0
y(y + 3) - 10(y + 3) = 0
(y + 3)(y -10)= 0
y + 3 = 0, y = -3
y - 10 = 0
y = 10 days
Note that
The number of days Ondiso worked alone = y
Hence, it takes 10 days for Ondiso to work alone
WILL MARK BRANLIEST
What is true about the decimal form of an irrational number ?
A) The decimal both repeats and terminates
B) The decimal does not repeat or terminate
C) The decimal repeats
D) The decimal terminates
Answers
Therefore, the decimal representations of irrational numbers satisfy conditions 1 and 2; that is, irrational numbers are decimals that do not terminate and do not repeat. Knowing these properties, it is now possible for us to construct irrational numbers in decimal form at will.
for spanish people
Por lo tanto, las representaciones decimales de números irracionales cumplen las condiciones 1 y 2; es decir, los números irracionales son decimales que no terminan y no se repiten. Conociendo estas propiedades, ahora es posible para nosotros construir números irracionales en forma decimal a voluntad.
To buy tickets online for a circus, there is a one-time processing fee of $5 and each
ticket costs $65. If Winston is buying tickets for himself and up to 3 of his friends, then
which statement below best represents this situation?
A. The domain is {70, 135, 200, 265).
B. The range is the total price of the tickets purchased and includes all whole numbers
from 1 to 4.
C. The range is {65, 130, 195).
D. The range is the total price of the tickets purchased and spans from 70 to 265.
Answers
I think the answer would be B. The range is then total price of the tickets purchased and includes all whole numbers from 1 to 4.
what is the rate of change for y=38x+20
A. 38
B. 20
C.1
D. it has no term
Answers
Answer:
A
Step-by-step explanation:
Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
A. Write a recursive rule for this series
B. Write an explicit rule for this series
C. Using the explicit formula, find the number of chairs in row 5
D. The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium
Answers
Answer:
The first term is 10.
The second term is 16
The third term is 22.
We can see that the first term plus 6, is:
10 + 6 = 16
Then the first term plus 6 is equal to the second term.
And the second term plus 6 is:
16 + 6 = 22
Then the second term plus 6 is equal to the third term.
A) As we already found, the recursive rule is:
Aₙ = Aₙ₋₁ + 6
B) The explicit rule is:
Aₙ = A₁ + (n - 1)*6
Such that A1 is the first term, in this case A₁ = 10
Then:
Aₙ = 10 + (n - 1)*6
C)
Now we want to find A₅, then:
A₅ = 10 + (5 - 1)*6 = 34
There are 34 chairs in row 5.
D)
Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:
C = A₀ + A₁ + ... + A₁₆
This summation can be written as:
∑ 10 + (n - 1)*6 such that n goes from 0 to 16.
The formula for the sum of the first N terms of a sum like this is:
S(N) = (N)*(A₁ + Aₙ)/2
Then the sum of the 17 rows gives:
S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.
There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.
The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex]The explicit rule for this series is: [tex]T_n = 6n + 4[/tex]What is recursive rule?A rule defined such that its definition includes itself.
Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.
For this case, we're provided that:
Seats in rows are 10 in front, 16 in second, 22 in third, and so on.
10 , 16 , 22 , .....
16 - 10 = 6
22 - 16 = 6
...
So consecutive difference is 6
If we take [tex]T_i[/tex] as ith term of the series then:
[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]
Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]
From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]
Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]
For 5th row, putting n = 5 gives us:
[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]
If the auditorium has 17 rows, then total chairs are:
[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]
(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )
Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].
Learn more about recursive rule and explicit rule here:
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Consider the function represented in the table.
Which point of the given function corresponds with the
minimum value of its inverse function?
X
-10-20
3 8
0
-2.
5 8
4.5-6
A (-20, 8)
B (-10,3)
C (0, -2)
D (8,-6)
HELPPP
Answers
Answer:
The real answer is (-20, 8).
Step-by-step explanation:
I just did the unit test practice or whatever and used the answer above and got it wrong. This is the correct answer.
help what is The expression 4x gives the perimeter of a square with a side length of x units. What is the perimeter of a square with a side length of 5/7 units?
Answers
Answer:
2 6/7 units
Step-by-step explanation:
You substitute 5/7 in for x
4(5/7) = 20/7 = 2 6/7 units
You can also add 5/7 + 5/7 + 5/7 + 5/7 to check your work
y = 3x - 5 and y = 4x.
Answers
Answer: x = -5
New Equation (after substituting) 4x = 3x - 5
Subtract 3x from both sides
x = -5
A little boy stands on a carousel and rotates AROUND 4 times. If the distance between the little boy and the center of the carousel is 6 feet, then how many feet did the little boy travel? (C = 2πr). Use 3.14 for pi. (Hint: he is going AROUND 4 times not just once). Only put in the number do not put in the unit of measure (ft). *
Answers
Answer:
150.72
Step-by-step explanation:
C = 2*pi * r
C = 2* 3.14 * 6
C = 37.68
1 revolution = 37.68
4 revolutions = 4 * 37.68
4 revolutions = 150.72
hey guys i rlly need help i don't understand rational numbers
Answers
Answer:
if its not a fraction or a number that can be written as a fraction, its an irrational
While on vacation in Belmont, Lara went out for a dinner that cost $75. If sales tax in Belmont is 8% and Lara left a 20% tip on $75, what was the total cost of her meal?
Answers
Answer:
= $88.7429
Step-by-step explanation:
Regular price: $124.99
Total off: $124.99 x 20% + 15% = 43.7465%
Tax: $124.99 x 6% = 7.4994
So he should pay: 124.99 - 43.7465 +7.4994
The total cost of her meal would be amount of $88.74.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Misha obtained a score of 57% on her exam, that corresponds to 67 out of 100.
As per the given information, the required solution would be as
Regular price of dinner = $124.99
Total off = $124.99 × 20% + 15% = 43.7465%
Total tax = $124.99 × 6% = 7.4994
The total cost of her meal = Regular price of dinner - Total off + Total tax
The total cost of her meal = 124.99 - 43.7465 +7.4994
Apply the arithmetic operation to get the cost
The total cost of her meal = 88.74
Therefore, the total cost of her meal would be amount of $88.74.
Learn more about the percentages here:
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Help? I don’t understand this math
Answers
Answer:
Option J:[tex] {x}^{3} {y}^{3} [/tex]
Step-by-step explanation:
Given,
Width of the rectangular prism
= x
Length of the rectangular prism
[tex] = {x}^{2} y[/tex]
Height of the rectangular prism
[tex] = {y}^{2} [/tex]
Therefore,
Volume of the rectangular prism
= Width × Length × Height
[tex] = x \times {x}^{2} y \times {y}^{2} [/tex]
[tex] = {x}^{3} {y}^{3} [/tex]
Hence,
The required volume of the rectangular prism is
Option J:
[tex] {x}^{3} {y}^{3} [/tex]
what is the scale factor of figure b to a
Answers
Answer:
C. 2:5
Step-by-step explanation:
Find perimeter of each...
a. 10+25+21.5=56.5
b. 4+10+8.6=22.6
b:a
22.6:56.6
simplify
11.3 will go into both for..
2:5
if a = 2 and b = 7 then b^a =
Answers
Answer:
49
Step-by-step explanation:
7^2 mean 7x7 which is 49
Find the slope: numbers are: (1,-3) and (-5,-4)
Answers
[tex]\frac{-3 - (-4)}{1 - (-5)}[/tex]
= [tex]\frac{-3 + 4}{1 + 5}[/tex]
= 1/6
Answer: the slope is 1/6Select the correct answer.
What is the domain of the function shown on the graph?
A. -∞ < x < ∞
B. x ≤ 2
C. x ≤ 1
D. -10 < x < 2
Answers
Option B is correct, x ≤ 2 is the domain of the function shown on the graph.
What is a function?A relation is a function if it has only One y-value for each x-value.
We have to find the domain of the given graph.
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis.
The graph has x values less than or equal to two.
x ≤ 2 is the domain of the given function.
Hence, option B is correct, x ≤ 2 is the domain of the function shown on the graph.
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Find inverse of f(x) = 2 + 3x / x - 2
Know answer is 2x + 2 / x - 3 I just want someone to explain the steps for my revision!
Thank you.
Answers
Now just interchange x and y -> x=2+3y/y-2, now multiply both sides with (y-2), we get (y-2)x=2+3y.
Multiply x with the brackets, getting xy-2x=2+3y. Move 3y to the left changing it’s sign, also for -2x to the right: xy-3y=2+2x.
Factor out y from (xy-3y) and get (3-x)y=2+2x - now divide both sides by (3-x) resulting in y=2+2x/3-x .