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
108 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)
What is the dot product of vector A = [2, -5] and vector B = [3, 4]?
+
What is the value of arctan(√3) + arcsin(1/2)?
+
What is the equation of an exponential function that has a horizontal stretch of 2, vertical compression of 3/4, and passes through the points (1,2) and (3,18)?
+
New questions in Mathematics
Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95
³√12 x ⁶√96
2x-y=5 x-y=4
Suppose that a device has been created that launches objects at ground level and that its operation is modeled by the function h(x) = -4ײ + 256x, with h being the height (in meters) and x being the distance (in meters) What is the maximum height that the object reaches?
Suppose 50% of the doctors and hospital are surgeons if a sample of 576 doctors is selected what is the probability that the sample proportion of surgeons will be greater than 55% round your answer to four decimal places
Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.
In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?
A recurring sequence is one where elements repeat after completing one standard. If the sequence AB8C14D96AB8C1... is recurring its twentieth term is equal to: (A) B. (B) 8. (C) A. (D) 6. (E) D.
Engineers want to design seats in commercial aircraft so that they are wide enough to fit ​95% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.4 in. and a standard deviation of 1.2 in. Find P95. That​ is, find the hip breadth for men that separates the smallest ​95% from the largest 5​%.
The simple average of 15 , 30 , 40 , and 45 is
4+168×10³×d1+36×10³×d2=-12 -10+36×10³×d1+72×10³×d2=0
X~N(2.6,1.44). find the P(X<3.1)
Jasminder has made 55% of the recipes in a particular cookbook. If there are 9 recipes that he has never made, how many recipes does the cookbook contain?
For what values of m is point P (m, 1 - 2m) in the 2⁰ quadrant?
find missing measure for triangle area = 48 m square base = 10m heaighy = ? m
How to factorise 5y^2 -7y -52
2 - 6x = -16x + 28
calculate the product of 4 and 1/8
9n + 7(-8 + 4k) use k=2 and n=3
(3.1x10^3g^2)/(4.56x10^2g)

You might be interested in