The nearest degree would be 40
Answer:
10000 different numbers
Step-by-step explanation:
The numbers will have the form 1XXXX5, in this case, the order is important because 123465 is a different number to 123645. To know the total of differents decimal numbers, use the formula of permutation with repetition:
is the number of options, 
, and 
the number of times you have to place a digit, 
.
3, -1
Step-by-step explanation:
It goes 3 to the positive side
and one down side
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:
Step-by-step explanation:
<u>Completing the square</u>
when 
Given equation:
Subtract 40 from both sides:
Divide both sides by 3:
Add the square of half the coefficient of 
to both sides:
Factor the left side and simplify the right side:
Square root both sides:
Add 4 to both sides and simplify the radical:
