Carter paid $200 for the bike.
Step-by-step explanation:
Given,
Current value of bike = $90
This represent 45% of the original amount Carter paid for bike.
Let,
x represent the original amount of bike.
45% of x = 90
Dividing both sides by 0.45
Carter paid $200 for the bike.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
Answer:
x = 57/28
y = -95/84
z = 97/168
Step-by-step explanation:
Use the application in the next link: https://www.zweigmedia.com/RealWorld/tutorialsf1/scriptpivotold.html
Start with the expanded array:
then using the tool provided, make row operations until you find the solution:
r2 = r2-3r1
r3 = r3+2r1
r2 = r2*(-1/13)
r1 = r1- r2*5
r3 = r3+ r2*-3
r3 = r3*13/168
r2 = r2- r3*22/13
r2 = r2+ r3*6/13
Here you have a reduced array an therefore the answers to each variable are on each row:
Answer:
∠EGB and ∠AGF are congruent;
Transitive Property of Equality
Step-by-step explanation:
The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other
Vertical angles are congruent i.e their measures are equal
Look at the attached graph
Given:
AB // CD
E , G , H , F are col-linear
The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD
∵ AB and EF intersected at point G
∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem
When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent ( vertical angle theorem)
∵ AB // CD and EF is a transversal
∴ m∠AGF = m∠CHF (corresponding angles theorem)
Transitive Property of Equality: if one angle is equal to two other angles, then the two other angles are equal
Therefore, If a = b and b = c, then a = c
∵ m∠EGB = m∠AGF
∵ m∠AGF = m∠CHF
∴ m∠EGB = m∠CHF (transitive property theorem)
∠EGB and ∠AGF are congruent; Transitive Property of Equality
