Answer:
8-inch pattern is fully printed 28 times.
12-inch pattern is fully printed 19 times.
Patterns start at the same place 9 times
Step-by-step explanation:
1. 19 feet is 228 inches.
2. 8-inch pattern is fully printed 28 times.
3. 12-inch pattern is fully printed 19 times.
4. 8-inch patterns starts at`0,8,16,24,32,40,48...
5. 12-inch pattern starts at 0,12,24,48...
6. As you see they start at the same place after 24 inches.
7. 228/24=9.5, => They start at the same place 9 times.
The square's diagonal is the triangle's hypotenuse.
the original Pythagorean theorem is
where
a and
b are the two sides and
c is the hypotenuse.
that means the Pythagorean theorem for this question is:
or
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
Answer: Ron tower's
Step-by-step explanation:
Given
Ron tower has a base of 
Freddy tower has a base of 
Suppose the tower is in the shape of a square prism
The volume of Ron and Freddy tower is 
The volume of a square-based prism is 
The height of Freddy tower is
Thus, the height of Ron's tower is more than Freddy's tower by 
