Let us denote the semi arcs as congruent angles. This means that angles FEJ and EFJ are congruent (That is, they have the same measure). Since angles FEJ and EFJ have the same measure, this implies that sides EJ and FJ are equal. Since angles EJK and FJH are supplementary angles to angle EJF, this implies that EJK and FJH have the same measure.
Using the Angle Side Angle (SAS) criteria, we determine that triangles EKJ and triangle FJH are congruent. This implies that sides EK and FH are equal and that angles EKJ and FHJ are congruent. Note that angle EKJ is the same as EKF and that FHJ is the same as FHE.
Once again, since angles EKF and FHJ are congruent, and angle EKD is supplementary to the angle EKJ when angle FHG is supplementary to angle FHJ, then we have that angles EKD and angle FHG are congruent.
Using again the SAS criteria, we determine that triangles EKD and FHG are congruent.
From this reasoning, we have proved the following facts:
Triangle DEK is congruent to triangl GFH
Angle EKF is congruent to angle FHE
Segment EK is the same as segment FH
The maximum number of visits for a member of science museum is 36.
Step-by-step explanation:
Given,
Membership fee = $8
Per visit fee = $1
Total cost = $44
Let,
x be the number of visits
y be the total cost
Total cost = per visit fee*number of visits + membership fee
y = x+8
The maximum number of visits for a member of science museum is 36.
Keywords: variable, addition
Learn more about variables at:
#LearnwithBrainly
Answer:
<em>$120</em>
Step-by-step explanation:
40% of the earnings is spent on rent.
The earnings is an unknown, so we call it x.
The rent is $800, so 40% of x equals $800.
40% * x = 800
0.4x = 800
x = 800/0.4
x = 2000
She earns $2000 per month.
After paying rent, the remaining amount is
$2000 - $800 = $1200
She spends 10% of the remaining amount on entertainment.
10% of $1200 = 10% * $1200 = 0.1 * $1200 = $120
Answer:
400cm
Step-by-step explanation:
Subtraction Property of Inequality is used to solve the given inequality
<em><u>Solution:</u></em>
Given inequality is:
To solve the inequality, subtract 8 on both sides,
We know that,
Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged
Also, by Subtraction Property of Inequality,
If you minus a number from one side of an inequality, you have to minus that same number from the other side of the inequality as well
Thus, Subtraction Property of Inequality is used
