Answers
Answer:
x = 7
Step-by-step explanation:
The Triangle Sum Theorem tells us that the sum of the measures of a triangle's interior angles is 180. Using this information, we can make an equation to solve for x.
82 + 9x - 6 + 6x - 1 = 180
75 + 15x = 180 (Combine like terms)
15x = 105 (Subtract 75 from both sides)
x = 7 (Divide both sides by 15)
We can plug the value of x back into the equation to make sure of this answer.
Related Questions
In one company, 20% of the workers in the technical department applied for vacation at the same time. If 12 workers applied for vacation, how many tech workers are there, altogether?
Answers
Answer:
There are 60 tech workers altogether
Step-by-step explanation:
Let X be the total number of tech workers in the company
Out of X tech employees, 20 % applied for leaves
In totality, 12 tech employees are on leave
Thus,
[tex]\frac{20}{100} * X = 12[/tex]
On solving the above mathematical equation, we get -
[tex]X = \frac{12*100}{20} \\X = 60[/tex]
Hence, there are 60 tech workers altogether
Write all the factors of S 35. Use commas to senarate them 。
Answers
Answer:
All of the positive integers that can divide evenly into 35 (they are the factors) are:
1, 5, 7, 35
All others, like 2, 3, 13, ... create a remainder that is not 0.
Now, you may (or soon will be) learning about the prime factors of 35 (not 1, and only divisible by itself and 1). They are:
5, 7
Step-by-step explanation:
is this a function?
Answers
Answer:
yes
Step-by-step explanation:
30000 at 8% per year for 10 months equals to
Answers
Answer:
2000
Step-by-step explanation:
S.I=P×rate / 100×time
30000×8 / 100×5/6
=2000
If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?
Oy- (11
y (11)
(18)(5)
oy-
5
11
2 y = (1865
Answers
Answer:
y = 18/5(11)
Step-by-step explanation:
If y varies directly as x, this is expressed as;
y∝x
y = kx
k is the constant of proportional constant
if y = 18 and x = 5
18 = 5k
k = 18/5
to get the expression that can be used to find the value of y when x is 11
y = kx
y = 18/5(11)
This gives the required expression
The winner of a basketball contest is the individual who scores the highest percentage of free throws. The too three finishers are contestants A, B, and C. Contestant A made 85% of her free throws, contestant B made 0.88 of his free throws, and contestant C made 21/25 of his free throws. Graph in inequality that represents the possible percentages (in decimal form) of free throws made by the other contestants in the competition. (Assume there are no ties.)
Answers
Answer:
Step-by-step explanation:
Less than 0.84
Step-by-step explanation:
Convert all numbers to decimals
85% --> 0.85
0.88 --> 0.88
21/25 --> 0.84
Since these are the top three, the rest of the competitors are less than 0.84.
Sam and Jennifer are saving money for college. Sam has saved $2000 and will save $60 more each week. Jennifer has saved $2500 and will save $55 more each week.
Answers
Answer: what the question
Step-by-step explanation:
The spinner shown is divided into equal sections that each contain one number, so that the probability of spinning each number on the spinner is the same. However, there are two red sections, and therefore there are a total of two numbers (1 and 3) that appear in red sections, while each other color appears in only one section.
A spinner with 6 equal-sized sections labeled 1 through 6. Sections 1 and 3 are red. Section 2 is blue. Section 4 is orange. Section 5 is purple. Section 6 is green.
© 2017 FlipSwitch. Created using GeoGebra.
What is the value of P(x:x is a red section)?
Enter your answer as a fraction in simplest terms, using the / symbol. For example, if your answer is 4284, which reduces to 12, enter it like this: 1/2
Answers
Answer:
the answer is 2/6 im not sure but i hope its help
help if you can please
Answers
Answer:
a: 24 cm
b: 101 m
c: 1.46 mm
Step-by-step explanation:
Formula: d=2r
a: 12*2=24 cm
b: 50.5*2=101 m
c: 0.73*2=1.46 mm
Some help me it’s timed
Answers
Answer:
43 m. Perimeter is all the sides added together.
Kurt recorded the amount of rainfall in each month for one
year. What was the total rainfall that year?
Answers
Answer:
Step-by-step explanation:
G
Help plzzzzz
Fill in the table for the function
y=-2x + 10
Answers
Answer:
16, 10, 0
You plug in the x into the function
A rectangular prism has a base of 7 m by 9 m and a height of 5 m. What is its volume?
Answers
Answer:
315m ^3
Step-by-step explanation:
make sure you put the exponent !!
= 7*9*5
Volume =315 will be the volume
If ∆ABC ∼ ∆PQR such that AB = 1.8cm and PQ = 1.6 cm, what is the ratio of the areas of ∆ABC and ∆PQR.
Answers
Answer:
81 / 64
Step-by-step explanation:
The ratio of the areas can be obtained thus :
Area of ∆ABC / Area of ∆PQR
Area of ∆ABC / Area of ∆PQR = AB² / PQ²
AB = 1.8 ; PQ = 1.6
AB² / PQ² = 1.8² / 1.6²
= 18² / 16²
= 324 / 256
= 81 / 64
calculate the surface area of the cylinder.
A. 351.9 cm²
B. 500 cm³
C. 140.4 cm²
D 301.7 cm²
Answers
2 x pi x r x h + 2 x pi x r^2
SA = 2 x pi x 4 x 10 + 2 x pi x 4^2
= 351.9 cm^2
Hope this helps!!
PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
3.52BAStep-by-step explanation:
Middle School:
Find the median by arranging the data points from smallest to largest.
1, 1, 1, 3, 4, 4, 5, 6 (Take the average of the two points in the middle, 3 and 4)
7/2 = 3.5
High School:
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 4 (Take the average of the two points in the middle, 2 and 2)
4/2 = 2
Most of the points in the middle school plot are four or less.
A (High school students had more variation.)
find area of triangles
Answers
12x12=144
144 divide by 2 is 77
What is a benefit of writing 4 • 4 • 4 •. 4 • 4 using exponents
Answers
Answer:
you can shorten it by putting 4 to the power of 5. (put a little 5 atop the 4.)
Step-by-step explanation:
like this
The circumference of a steering wheel is 19.8in. What is the radius
A. 3.2
B. 1.3
Please!!!! Help!!!! this a important test
I will mark you brainliest
If i get the correct answer Please!!!!
Answers
Answer:
A. 3.2
Step-by-step explanation:
Given
Circumference (c) = 19.8 in
Radius (r) = ?
We know
2πr = c
2 * 3.14 * r = 19.8
6.28 r = 19.8
r = 19.8 / 6.28
r = 3.2 in
Hope it helps :)❤
7. If A = 2x + 3 and B = x^2 - 5x + 1, what is the value of A-5B?
Answers
Answer:
[tex] \huge \boxed{ \boxed{ \tt - 5 {x}^{2} + 27 x- 2}}[/tex]
Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:A=2x+3B=x²-5x+1to find:A-5Blet's solve:[tex] step - 1 : define[/tex]
A-5B=2x+3-5(x²-5x+1)
[tex]step - 2 : solve[/tex]
distribute -5 to the parentheses:2x+3-5x²+25x-5rewrite:-5x²+2x+25x-5+3combine like terms:-5x²+27x-2and
we are done
(q – 5) 7 simplified
Answers
Answer:
7q-35
Step-by-step explanation:
Ajar contains $36.25 in dimes (10 cents) and quarters (25 cents). There are 250
coins in the jar. How many quarters are there in the jar?
Answers
Answer:
Step-by-step explanation:
The jar contains 2 types of coins dimes and quarters
the total amount is equal to 36.25 dollars
the total number of coins is 250
let number of dimes be x and quarters be y
let us put the equation
0.10x + 0.25y = 36.25
for our convinience convert all money to cents i.e. = 3625 cents
now the equations are
10x + 25y = 3625
x + y = 250
we need to solve for y i.e. number of quaters
y = 250 - x
rewrite the equation substituting y in x place
10(250 - y) +25 y = 3625
2500 - 10y +25y = 3625
15y = 1125
y = 75
so the number of quarters = 75
cross checking :
number of dimes = 250 - 75 = 175
total = 10x175 + 25x75 = 1750 + 1875 = 3625 = $36.25
the area of a circle is 49sm what is the radius
Answers
r≈7.8 !!!!!!!!!!!!!!!
PLEASE HELP ME WITH THIS QUESTION!
Answers
Answer:
C
Step-by-step explanation:
just fill in the x
ex. y=0.5x+14
y=0.5(5)+14
y=2.5+14
y=16.5
Jacob did the following calculations, please explain the error if any. (2-3i)2 = (2-3i)(2-3i) = 4-6i-6i+9i2 = 9i2-12i+4
Answers
PLEASEEEEEEEEEEE HELP ME IT'S THE LAST QUESTION
Answers
Answer:
I think it's 2-3, but I'm not sure.
Step-by-step explanation:
Sorry if I get it wrong
The point (-6, 4) lies on a straight line that has a gradient of -2. What is the
equation of this line?
Answers
Given:
Point on straight line = (-6,4)
Gradient = -2
To find:
The equation of the line.
Solution:
Point-slope form: If a line passes through the point [tex](x_1,y_1)[/tex] with slope m, then the equation of the line is
[tex]y-y_1=m(x-x_1)[/tex]
The line passes through the point (-6,4) with slope -2. So, the equation of the line is:
[tex]y-4=-2(x-(-6))[/tex]
[tex]y-4=-2(x+6)[/tex]
[tex]y-4=-2x-12[/tex]
Adding 4 on both sides, we get
[tex]y-4+4=-2x-12+4[/tex]
[tex]y=-2x-8[/tex]
Therefore, the equation of the line is [tex]y=-2x-8[/tex].
A book store is having a 30% off sale, Diary of a Wimpy Kid books are now $6.30 each. What was the original price of the books?
Answers
Answer:
The original price of the books were $9.
Step-by-step explanation:
%100 - %30 = %70
%70 = 0.7
$6.30 ÷ 0.7 = $9
a)
Estimate the probability that on the next roll the score will be 4.
b)
If the dice is rolled 400 times, about how many 2s would you expect to get?
Answers
Answer:
a) 1/10
b) 110
Step-by-step explanation:
A) we start by getting the total number of rolls
That would be;
11 + 22 + 7 + 8 + 13 + 19 = 80
The frequency of getting a 4 is 8
The probability that the next roll will be a 4 is;
8/80 = 1/10
b) Firstly, we get the probability of getting a 2
We have this as:
22/80
So for 400 rolls, the number of 2’s will be;
22/80 * 400
= 22 * 5 = 110
help me i am not good at math