Question 3:
Since, EG = EF + FG
x = 13
So, EF = 
= 
So, EF = 24 units.
Question 4:
Since, 
So, 
So, x =2
Question 5:
Since,
By being congruent, the measures of the segments are equal.
So,
So, x = 2
Now, XZ = 
XY = 9x - 7 = 
YZ = 3x + 5 
XZ = XY + YZ = 11 + 11 = 22 units.
Question 6:
It is given that 
It means that the measures of these two angles are equal.
Since, measure of angle ABC is 35 degrees.
Therefore, the measure of angle DBE is 35 degrees.
Here's another one.
See the attached picture.
The parent function is either identity function or constant function
the translation is down 6
Answer: 48 tickets
Step-by-step explanation:
Since the expression that gives the number of tickets a player wins if he shoots the ball in the hoop t times is expressed as 3t.
Therefore, the number of tickets that a player wins if he shoots the ball in the hoop 16 times will be:
= 3t
where,
t = 16
Therefore, 3t = 3 × 16 = 48
The player wins 48 tickets.
Answer:
276 individuals at the party.
Step-by-step explanation:
If 6 of your friends are couples then we would count them as 1 each and it would be 3 friends. Therefore we subtract 3 from your 58 friends.
58 - 3 = 55 friends
Each of them brings 5 friends so we multiply your number of friends by 5.
55 * 5 = 275 friends
Finally, we add you because you are included
275 + 1 = 276
There will be a total of 276 individuals at the party.
