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:
As 2.551 < 3.84 therefore we reject H0.
As 44.803 > 4.46 so we accept null hypothesis.
Step-by-step explanation:
The answer is attached.
There are three judges so v1 = 3-1= 2 and v2 = (4*2)= 8
There are five gymnasts so v1 = 5-1= 4 and v2= (4*2)= 8
For alpha = 0.05 we find the value of F1 and F2 from the table.
I’m not sure sorrry but i hope someone else can help u
The answer is because 3 squared =9
Answer: 60 in
Step-by-step explanation:
Hi, to answer this question, first we have to calculate the diameter of one flotation device:
Circumference of a circle C = (3.14) (diameter)
Replacing with the values given:
62.8 =3.14 d
Solving for d (diameter)
62.8 /3.14 =d
20in = d
Now, since the three flotation devices are identical, we simply have to multiply the diameter of one device by 3 , to obtain length of the flotation devices lined up.
20x3 =60 in
Feel free to ask for more if needed or if you did not understand something.
