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)
Question: Simplify the expression 3x^2 - 2xy + 6x - 4y using the distributive property.
+
What is the volume of a rectangular solid with length l, width w, and height h? (V = l * w * h)
+
What is the equivalent of 5 ounces in grams?
+
New questions in Mathematics
given cos26=k find cos13
To calculate the probability that a player will receive the special card at least 2 times in 8 games, you can use the binomial distribution. The probability of receiving the special card in a single game is 1/4 (or 25%), and the probability of not receiving it is 3/4 (or 75%).
If you have a bag with 18 white balls and 2 black balls. What is the probability of drawing a white ball? And extracting a black one?
How many kilometers does a person travel in 45 minutes if they move at a rate of 8.3 m/s?
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
Find the sum of the first 41 terms of the progression that begins: 32, 24, 16, …
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
5.- From the probabilities: 𝐏(𝐁) = 𝟑𝟎% 𝐏(𝐀 ∩ 𝐁) = 𝟐𝟎% 𝐏(𝐀 ̅) = 𝟕𝟎% You are asked to calculate: 𝐏(𝐀 ∪ 𝐁)
Suppose the Golf ball market is perfectly competitive and the functions are known: Q = 120 – 2Px – 2Py 0.2I Q = 2Px 40 Where I = Consumers' income ($200) and Py = Price of Good Y (40) Calculate the equilibrium elasticity: a) 1.6 b) -6 c) 6 d) 0.6
Use a pattern approach to explain why (-2)(-3)=6
viii. An ac circuit with a 80 μF capacitor in series with a coil of resistance 16Ω and inductance 160mH is connected to a 100V, 100 Hz supply is shown below. Calculate 7. the inductive reactance 8. the capacitive reactance 9. the circuit impedance and V-I phase angle θ 10. the circuit current I 11. the phasor voltages VR, VL, VC and VS 12. the resonance circuit frequency Also construct a fully labeled and appropriately ‘scaled’ voltage phasor diagram.
We have two distributions: A (M = 66.7, 95% CI = [60.3, 67.1]) / B (M = 71.3 95% CI = [67.7, 74.9]). Erin maintains that B is significantly larger than A. Provide your opinion on Erin’s argument and justify your opinion.
Nancy is a waitress at Seventh Heaven Hamburgers. She wants to estimate the average amount each table leaves for a tip. A random sample of 5 groups was taken and the amount they left for a tip (in dollars) is listed below: $11.00 $8.00 $6.00 $3.00 $7.00 a.) Find a 90% confidence interval for the average amount left by all groups. (*round to the nearest cent*) $ < μ < $ b.) If the sample size were larger, with everything else remaining the same, would the margin of Error increase or decrease? Decrease Increase c.) If the Confidence level were 95% instead of 90%, would the range (size) of the Confidence Interval be larger or smaller? Larger Smaller
How many cards do you expect to pull from a poker deck until you get an ACE?
Given a circle 𝑘(𝑆; 𝑟 = 4 𝑐𝑚) and a line |𝐴𝐵| = 2 𝑐𝑚. Determine and construct the set of all centers of circles that touch circle 𝑘 and have radius 𝑟 = |𝐴𝐵|
Read the “Local Communities as Stakeholders: Does Amazon Really Need Tax Breaks?” example on p. 83 in Ch. 3 of Management: A Practical Introduction. In your response, discuss whether you feel that tax breaks for big companies benefit local communities. Describe ways to attract business to a region without having a negative impact on the larger community.
if y=1/w^2 yw=2-x; find dy/dx
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 rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet
Question 3 A square has a perimeter given by the algebraic expression 24x – 16. Write the algebraic expression that represents one of its sides.

You might be interested in