P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
If the points P, Q, V and K are collinear, they will follow the segment addition postulate.
Measure of segment VP will be 214 units.
It's given in the question,
P, Q, V and K are collinear.VP = 14x + 4PK = x + 630VQ = 17x + 6KQ = 11x + 5By segment addition postulate,
KQ + VQ + VP = KP
Substitute the values in the expression,
(11x + 5) + (17x + 6) + (14x + 4) = x + 630
(11x + 17x + 14x) + (5 + 6 + 4) = x + 630
42x + 15 = x + 630
42x - x = 630 - 15
41x = 615
x = [tex]\frac{615}{41}[/tex]
x = 15
Therefore, measure of VP = (14x + 4)
= 14(15) + 4
= 214 units
Measure of segment VP will be 214 units.
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Help me on this math questionnn
You withdraw $40 each month from your savings account. what integer represents the change in your balance after 4 months?
Answer:
The balance would be $160 from whatever it was before the 4 months.
Step-by-step explanation:
Since the bank balance is being added by 40 for each month for 4 months, 4 * 40 is just 4*4 with an extra zero on the end. so that would be $160.
So if the balance before was $40, then the new balance after 4 months would be $200.
If there's no money previously, then there is now $160 after 4 months.
If there's a value before the $40 for 4 months, let me know and I will explain and tell you what it is.
Please helppp Probability Maths
Answer:
16/40 = 0.4
Step-by-step explanation:
Find total marbles then divide the number of green by total.
(3r - 3) (r+2)
help plz
So this way we can do it. Thankyou!
find three consecutive even intergers such that the sum of the smallest number and twice the middle number is 20 more than the largest number
Answer:
10, 12, 14
Step-by-step explanation:
Hi there!
Let x be equal to the smallest integer.
Let (x+2) be equal to the next even integer.
Let (x+4) be equal to the largest even integer out of the three.
We're given:
⇒ smallest number + (2 × middle number) = 20 + largest number
Construct an equation:
[tex]x+2(x+2)=20+(x+4)[/tex]
Combine like terms:
[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]
Therefore, the smallest integer is 10, making the next two even integers 12 and 14.
I hope this helps!
The square of the difference between 2x and y
Answer:
this question doesn`t have much information but here`s my best guess
(2x-y)^2
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.
1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.
2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."
So, combining the two steps, we have:
[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.
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a squared + b - c squared
Answer:
a²+(b-c)²
hope it helps
b+6/4 when b=1.5???????????????????????
Answer:
3
Step-by-step explanation:
Point B is the midpoint of AC. AB=3x and AC=5x+21 . What is the value of AB?
First, let's write down what we know.
AB = 3x
AC = 5x+21
Since B is the midpoint, AB is half the length of AC. The sum of AB + AB is equal to the length of AC.
AB + AB = AC
Let's plug in our values.
3x + 3x = 5x + 21
Simplify the left side.
6x = 5x + 21
Subtract 5x from both sides.
x = 21
Now, let's plug in 21 for x in AB
AB = 3x = 3(21) = 63
If a=b+7 and b+7=9, then a=9
Answer:
a = 9
b = 2
Step-by-step explanation:
Given : a = 9
a = b + 7
9 = b + 7
b = 9 - 7 = 2
plz help me plz and correctly!!!! only 3 questions plz!!! 100 points
Answer:
Step-by-step explanation:
6)b) Sin A - x Cos A = 0
Sin A = x Cos A
[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]
[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]
[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]
[tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]
= LHS
7a) 1 - Sin A = 1/2
[tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]
⇒ A = 30°
Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]
[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]
LHS = 6 Sec² A + 9 tan² A
[tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]
Julie is arranging pictures in a photo album one time she arranges them into six on each page she rearrange them with eight on each page what is the least number of photos Julie could have put in her album
Answer:
Step-by-step explanation:
When completing the sum 5.8×3.87 Dominica forgot to put the decimal point in her answer. She wrote 22446. What should she have written?
What is the value of f(6)
Answer:
f(6) = 35
Step-by-step explanation:
f(6) means the function value for the x-coordinate 6. To find this, we need to find out which function to use (either 0 or 35x-175). 0≤x≤5 means that f(x)=0 for any value between 0 and 5 and including 0 and 5 themselves. However, we need to find the value for x=6, so we need to use the other function (35x-175). This gives us:
f(6) = 35 * 6 - 175 = 210 - 175 = 35
I hope this helps!
Plss tell me guy's plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
According to my equation it's 20°
please helpppppp!!!!!!!!!
Answer:
64w^2
Step-by-step explanation:
Because 8w is in parentheses, you must apply the exponent to both the 8 and w.
So, it becomes (8*8)(x*x) which equals (64)(x^2).
Which then gives you your final answer, 64x^2.
Does anyone know 81,452 divided by 93
Answer:
875
Step-by-step explanation:
Find the distance in units between 1 1/2 and −2 5/6 on a number line.
Answer:
4 1/3
Step-by-step explanation:
Hypothetically, imagine 2 5/6 was postive, you add it to 1 1/2 to get your answer, but you cant do that until the fractions have a common denominator. To get a common denominator of six, you would multiply both the numerator and denominator of 1/2 by 3, giving you 3/6. Now you have 2 5/6 and 1 3/6, adding them together gives you 3 8/6, but we cant stop here, since 8/6 is 1 2/6, add 3+1 and you now have 4 2/6. The last thing you do here is simplyfy the fraction making it 1/3 now instead of 2/6. Giving you a final answer of 4 1/3 units.
Help with this question. Will give brainliest.
Step-by-step explanation:
x = elsie ticket
[tex] \frac{2}{3} x + 10 = 21[/tex]
Answer:
No I am pretty sure it is the 4th answer my guy.
Step-by-step explanation:
2/3x-10=21
a + (b-4) when a-24 and b-7
Answer:
a=24
b=7
now
24+(7-4)
24+3
27
so the answer is 27
If 3x = y -5 and x = 4, then y =
Answer:
y = 17
Step-by-step explanation:
3x = y - 5, for x = 4
=> 3(4) = y - 5
=> 12 = y - 5
=> 12 + 5 = y
=> 17 = y
What is 6(x-6)+12=6(x+1)-3x show your work.
An amusement park sold 4 discount tickets and 36 full-price tickets. What percentage of the tickets sold were discount tickets?
Somebody help with 1 & 2
Answer:
c
Step-by-step explanation:
let x represent the equally priced bracelets of which there are 4 , so 4x
We know she spent $64 on rings and a total of $200 was spent , then
64 + 4x = 200 ← represents the situation
x represents the cost of a bracelet
Answer:
c
Step-by-step explanation:
the total amount paid at the jewelry is 200
64 was spent on rings
the rest amount of money was spent on 4 bracelets
let the price of one bracelet be x
200=4(x)+64
200=4x+64
Answer the question please
Write a verbal expression for each algebraic expression.
(c - 2)d
———————
(2 + 5)p
Answer:
Step-by-step explanation:
BRAINLIEST!!!
Approximate the solution to the graphed system. Explain how you got your answer.
Answer:
(7.5, 12)Step-by-step explanation:
The solution of a linear system is the intersection of the lines.
We can see the lines A and B intersect at the point (7.5, 12) which is the solution.
See attached for better visualization.
Answer:
(7.5,12.5)
Step-by-step explanation:
See the intersected point is almost situated at the middle of 10 and 15 .Hence its 12.5 on y.And the point is situated in the middle of 7 and 8 .Hence its 7.5 on x.Pls help I’ll give you 35 points The depths of the
world's deepest oceans
and seas in feet) are:
12,880; 8,685; 13,002;
13,215; 5,468.
What is the median
depth?
Answer:
12,880
Step-by-step explanation:
You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.
WILL MARK BRAINIEST
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30
Answer:
x + 2 + 3x = 30
Step-by-step explanation:
Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.
Let x = Zach's car length.
Zach's car length is x.
"Ginny's car is 2 more than 3 times the length of Zach's car."
Ginny's car length is 2 + 3x.
Add the lengths:
x + 2 + 3x
"The sum of the lengths of both cars is 30 inches."
x + 2 + 3x = 30
Answer: x + 2 + 3x = 30
