Answer:
x=11
Step-by-step explanation:
This is an exterior angle theorem question.
To answer this question, you must know what the exterior angle theorem is:
An exterior angle of a triangle is equal to the sum of the two opposite interior angles. (not my definition)
So first, you need to add the two opposite interior angles.
3x+8+2x+9 is equal to 5x+17.
Then, you make an equation setting 5x+17 equal to the exterior angle.
5x+17 = 8x-16.
To solve this equation, first add 16 on both sides
→5x+33 = 8x
Then, subtract 5x on both sides
→ 33 = 3x
Finally, divide both sides by 3 to get x=11
It takes 6 hours to clean and detail a luxury car. During the morning of
cleaning, the workers were able to clean for 4 hours. If the variable t stands
for the amount of time the workers have left to clean the windows after lunch,
which of the following units could apply to this variable?
Graph the equation of the line parallel to 2x−y=6 and passing
through (-3, 1). Show work.
Answer:
It's a graph, see the image.
Step-by-step explanation:
Use the equation to find the slope. Use the slope and the point to graph the line.
Suppose a quadratic equation has the form x^2 + x + c = 0. Show that the constant c must be less than 1/4 in order for the equation to have two real solutions.
Answer:
see explanation
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 ( a ≠ 0 )
Then for the equation to have 2 real roots , the discriminant must be greater than zero , that is
b² - 4ac > 0
x² + x + c = 0 ← is in standard form
with a = 1, b = 1, c = c , then
b² - 4ac > 0
1² - (4 × 1 × c) > 0
1 - 4c > 0 ( subtract 1 from both sides )
- 4c > - 1
Divide both sides by - 4, reversing the inequality as a result of dividing by a negative quantity.
c < [tex]\frac{1}{4}[/tex]
What's The Interest Rate?
I = $200
P = $800
T = 24 months
A room has a rectangular floor 5.5 m long and 4.5 m wide. The room is 2.5 m in height.
A. What is the area of wall space in the room?
B. How much paint is required to paint the
walls with two coats if one litre of paint
can cover 11.25 m??
Answer:
Length=8 m,Breadth=6 m,Height=3 m
We know,
LSA=2(l+b)×h
LSA=2×14×3=84 m
2
Therefore, cost of painting = 84×60=Rs.5040.
can anyone help me please just cat get it
Answer:
it is c I think if not sorry
[tex]~\hspace{10em}\textit{function transformations} \\\\\\ \begin{array}{llll} f(x)= A( Bx+ C)^2+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \end{array}\qquad \qquad \begin{array}{llll} f(x)=\cfrac{1}{A(Bx+C)}+D \\\\\\ f(x)= A sin\left( B x+ C \right)+ D \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}\\ ~~~~~~\textit{reflection over the y-axis}[/tex]
[tex]\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]
now keeping that template for transformations above in mind, let's take a look at this one
[tex]\stackrel{\textit{original}}{f(x) = |x|}\implies f(x)=\stackrel{A}{1}|\stackrel{B}{1}x+\stackrel{C}{0}|+\stackrel{D}{0}[/tex]
now, the vertex of this type, or original that'll be the origin at (0,0), and its' graph looks like a V.
now let's take a peek at the graph, hmmm from the original V-shape it moved to the left by 2 units, with a horizontal shift of C/B = 2, we can say that +2/1 gives B = 1 and C = +2, and moved upwards by 3 units, namely D = +3.
we can also see that it flipped upside-down over the horizontal(x-axis), namely A is negative, on all choices the only value we see for A is "4", so it must be that A = -4
let's plug all those in
[tex]\begin{cases} A=-4\\ B=1\\ C=+2\\ D=+3 \end{cases}\qquad f(x)=\stackrel{A}{-4}|\stackrel{B}{1}x+\stackrel{C}{2}|+\stackrel{D}{3}\implies f(x)=-4|x+2|+3[/tex]
I need some help please
The answer is A.
A negative x a negative equals a positive so the square root of a negative value cannot be a negative value.
Which is a composite number? A.97 B.89 C.95 D.13
PLEASE I REALLY NEED THE CORRECT ANSWER RIGHT NOW!!!!
Answer: C. 95 is a composite number.
Step-by-step explanation:
You can look at the ones place of each number to see if any end in 0, 2, 5, or any other digit that indicates that the number is not prime. Since 95 ends in a 5, it can be divided by 5, making it have more factors than 1 and itself. Therefore, 95 is the composite number of the list of numbers.
Answer:95
Step-by-step explanation:composite numbers are numbers that have more factors than 1 and itself, factors are numbers you can multiply to get a number. 95 is a composite number since 1,95, AND 5 are all factors of 95 making it a composite number
2. If Jordan's section contains 35 rows, how many seats are in her section?
seat(s)
Answer:
5
Step-by-step explanation:
Can someone help me please
A jet travels 1198 miles against the wind in 2 hours and 1438 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the jet wind?
Rate of the jet still in the air: x mi/h
Rate of the wind: x mi/h
Answer: tbh jets arent really a good way to travel man. you better start walking ur lazy butt and get movin.
Step-by-step explanation:
a service or software application that relies on shared resources over the internet
NEED NOW PLEASE.....
Answer:
2+(-6)
Step-by-step explanation:
hope this helps
what is the value of x in m(x+n)=n
The equation m(x + n) = n si solved for x will be given as x = n / m (1 - m).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation is given below.
m(x + n) = n
By simplifying for x, then we have
x + n = n / m
x = n / m - n
x = (n - mn) / m
x = n / m (1 - m)
More about the linear system link is given below.
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Talia’s Australian Shepherd weighed 11 pounds when they first brought him home. By the time he was 6 months old, he weighed 33 pounds. What is the percent increase? *
Answer:
11+ 200% = 33 pounds
The percent increase is 200%
Step-by-step explanation:
three hundred two times one hundred fifty three
302×153
Answer:
46,206
Step-by-step explanation:
simple math
Answer:
the answer is 46,206
Step-by-step explanation:
Good luck!!!!
In Manhattan, there are 15 CoffeeStops per 100,000 people Manhattan has approximately 1,602,000 people How many Coffee Stops are there?
Answer:
Given that 15coffee stops=100,000people
then: x= 1,602,000
100,000×x= 15×1,602,000
100,000x= 24,030,000
100,000x÷100,000= 24,030,000÷100,000
x= 240.3
so therefore there are 240.3 coffee stops if there are 1,602,000
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
In Manhattan, there are 15 CoffeeStops per 100,000 people.
Then the number of coffee shops per person will be
⇒ 15 / 100,000
⇒ 1.5 × 10⁻⁴ coffee shops per person
Manhattan has approximately 1,602,000 people.
Then the number of coffee shops will be
⇒ 1,602,000 × 1.5 × 10⁻⁴
⇒240.3 or 241 coffee shops
Manhattan has approximately 1,602,000 people. Then the number of coffee shops will be 241.
More about the ratio and the proportion link is given below.
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6. Your gas tank can hold no more than 14.5 gallons of gasoline. On a trip to the grocery store, you use 1.5 gallons of gasoline. Write and solve an inequality that represents the amount of gasoline left in your gas tank after 2 trips to the grocery store.
Answer:
14.5 ≥ g(1.5)
g = The number of trips to the grocery store.
You will have 11.5 gallons left.
A cube has a surface area of 54cm^2 Find the side length, x, of the cube
we know that the area of a cube is its side cubed
So, x^3 = 54(i think it should be 64)
x = 4 (if it is 64)
if it is 54 then we will take the cube root of 54
Answer:
3
Step-by-step explanation:
6a^2=54
a^2=54/6
a=root 9
a=3
Write the equation of the line perpendicular to y = 8 - 5z that contains the point (0, 0) . Fill in the slope and y-intercept
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
8y=-5x+16
y=-5/8x+2.
To be perpendicular, the slope has to be 8/5.
What is the slope-intercept form of the line?
The slope-intercept form is y=mx+c
Where m is the slope and c is the y-intercept.
So y=8/5x+b.
We can plug in the given coordinates to get
7=8/5*-5+b
7=-8+b
b=15.
So eqn is y=8/5x+15 or in point-slope form, y=8/5x+15
5y=8x+75
5y-8x=75
The equation of the line perpendicular to y = 8 - 5z is 5x+8y=16.
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Joshua's assignment this weekend is to read a book with seventy-four pages. On Saturday he read thirty pages. How many pages does he need to read on Sunday?
Answer:
61
Step-by-step explanation:
he read first 74 and need to
= 74-30
=44
Kevin will be taking six classes next semester (Algebra, World History, Psychology, Political Science, Chemistry, and Art Theory) and would like to know how many different ways he can order his class schedule given that his university offers six time slots for classes each day. Assuming there are no constraints and each class can be taken in any time slot, how many different ways can Kevin order his classes?
=========================================================
Explanation:
We have 6 slots to fill A,B,C,D,E,F
There are 6 choices for choice A, then 5 choices for slot B, 4 for C, and so on until we reach one choice for slot F. Count down by 1 each time a slot is filled.
Multiply out those values to get: 6*5*4*3*2*1 = 720
For more information, check out the concept of factorials.
---------
Another approach is to use the nPr permutation formula which is
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
where in this case n = 6 and r = 6.
Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's inputs and the corresponding outputs displayed by the calculator: (1, 5), (2, 9), (3, 13), (4, 17) Which of the following functions best represents the rule that the calculator uses to display the outputs?
Answer: The answer is c. f(n)=4n+1
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4, then what is the remainder when divide 2f(x)-6 by (x+3)?
Answer:
2Step-by-step explanation:
When divide f(x)=ax³+bx²+cx+d by (x+3), the remainder is 4:
f(x) = m*(x + 3) + 4, where m is the quotientThen 2f(x) - 6 is:
2[m(x + 3) + 4] - 6 = 2m(x + 3) + 8 - 6 = 2m(x + 3) + 2As we see the remainder is 2
Mark’s birthday is 32 weeks away. How many days until his birthday?
This question on your unit test is a fill in the blank. Be prepared to type your answer. The graph show how many minutes it takes Ziah to run a certain distance in the city. What is the meaning of the point (4, 6)?
The point (4,6) means it took Ziah 4 minutes to run 6 blocks.
This is because any point is of the form (x,y) where in this case
x = number of minutes
y = number of blocks
You have a Rectangle with sides of 5ft and 8ft; solve for its perimeter and area.
Answer:
Perimeter = 2(l+w) = 2*(5+8) = 26ft
Area = wl = 8*5 = 40
Step-by-step explanation:
pretty sure :)
Please helppppp quick
Answer:
option C
Step-by-step explanation:
x + 5 ≤ 13
x + 5 - 5 ≤ 13 - 5
x = ≤ 8
Answer:
x ≤ 8
Step-by-step explanation:
Move all terms not containing x to the right side of the inequality. Then solve for x. :)
A person requests an immediate bank overdraft of $2000. The
bank generously agrees to this but insists that it should be repaid
by 12 monthly instalments and charges 1% interest every month
on the outstanding debt. Determine the monthly repayment
The monthly repayment for the given principal and rate of interest is $168.3.
Given that, a person requests an immediate bank overdraft of $2000.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Here, P=$2000, T=12 months = 1 year and r=1%
Now, interest = (2000×1×1)/100
= 20
Total amount = 2020
So, monthly instalment = 2020/12
=$168.3
Therefore, the monthly repayment for the given principal and rate of interest is $168.3.
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can help my little bro
Answer:
$0.03
Step-by-step explanation:
chips: 7.84/16=0.49
pretzels: 12.48/24=0.52
0.52=0.49=0.03