MathMaster logo

MathMaster

  1. Home
  2. general
  3. find the value of the variable and xp if x is between p and q xq 13 xp 5x 3 pq 40
Question

find the value of the variable and XP, if X Is between P and Q. XQ = 13, XP = 5x - 3, PQ = 40

154

likes
770 views

Answer to a math question find the value of the variable and XP, if X Is between P and Q. XQ = 13, XP = 5x - 3, PQ = 40

Expert avatar
Lurline
4.6
107 Answers
Solution:
1. Given:
- XQ = 13
- XP = 5x - 3
- PQ = 40

2. Since X is between P and Q, according to geometry, the sum of the segments XP and XQ should equal segment PQ:
XP + XQ = PQ

3. Substitute the known values:
(5x - 3) + 13 = 40

4. Simplify and solve for x:
5x - 3 + 13 = 40
5x + 10 = 40
5x = 40 - 10
5x = 30
x = \frac{30}{5}
x = 6

5. Calculate XP using the value of x:
XP = 5x - 3 = 5(6) - 3 = 30 - 3 = 27

Frequently asked questions (FAQs)
Math question: Find the axis of symmetry and vertex of the parabola function 𝑦 = 2𝑥² + 4𝑥 - 6.
+
What is the value of x in the equation 10^x = e^x, where x represents the variable? (
+
What is the value of the sine function for an angle of 45 degrees?
+
New questions in Mathematics
How do you think the company has increased or decreased its income?
a bank finds that the balances in its savings accounts are normally distributed with a mean of $500 and a standard deviation off of $40. What is the probability that a randomly selected account has a balance of more than $400?
[(36,000,000)(0.000003)^2]divided(0.00000006)
30. In 8 s, a car that starts from rest and moves with uniformly accelerated motion has achieved a speed of 72m/s. How much space must it travel to reach a speed of 90m/s? Sunshine: 450 m
A company that manufactures personal hygiene items purchases machinery for $220,000 that is considered to last 7 years; it is estimated that at the end of the period it will have a salvage value of $1000. Find: to. The depreciation rate. b. The book value at the end of the sixth year.
I need to know what 20% or £3292.75
The thermal representation f(x) = 20 times 0.8 to the power of x is known from an exponential function f. Specify the intersection point with the y-axis
Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Calculate the minimum size of a simple random sample assuming a sampling error of 5% assuming that the population size is 100 elements
factor the polynomial completely over the set of complex numbers b(x)=x^4-2x^3-17x^2+4x+30
94 divided by 8.75
2x-5-x+2=5x-11
00 piece jigsaw puzzle. the completed puzzle is 10x10. each piech connects to at least 2 other pieces. i plan to assemble by taking pieces out of box one by one. if i've already taken out 2 pieces that dont directly connect, what is the minimum number of additional pieces that i need to draw to in order to guarentee that the original 2 pieces connect?
Find I (Intrest) using simple interest formula of 17700 @ 15% for 4 years
0<x<2π aralığındaki f(x)=x÷2 fonksiyonunun 0 < x < 4π için grafiğini çiziniz ve 0<x<2n için Fourier seri dönüşümünü gerçekleştiriniz.
a coffee shop has 9 types of creamer and 11 types of sweetener. In how any ways can a person make their coffee?
the length of the fenced in area is to be 5 ft greater than the width and the total amount of fencing to be used is 89 ft find the width and length
A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.
To apply a diagnostic test, in how many ways can 14 students be chosen out of 25? if the order does not matter

You might be interested in