Answer: 3
Step-by-step explanation:
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.
He makes 3 batches of cookies...each batch contains 12 cookies...
so there are (3 * 12) = 36 cookies.
He wants to give the same amount of cookies to all of his 20 coworkers...
he can give each coworker 1 cookie and have 16 remaining cookies <=
<h2>
Answer:</h2><h2>
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz</h2>
Step-by-step explanation:
A hertz is used to measure one cycle (complete wave) of a vibration.
The number of cycles per second is the frequency, measured in hertz.
A guitar string vibrates back and forth 88 times in 1 minute
The vibrations in 1 second =
= 1.466 Hz ≈1.5 Hz
The frequency of the guitar string vibrates back and forth 88 times in 1 minute = 1.5 Hz
Answer:
rotated
Step-by-step explanation:
The triangle MNO has already been dilated and therefore, the answers were left to 3: rotated, reflected and translated. Triangle YHQ is not an image of triangle MNO. Thus, leaving only 2 choices: rotated and translated. If triangle MNO was translated, triangle YHQ was supposed to be in the same position as triangle MNO is and leaving only 1 option which is rotated.