First, let's expand the right side. Now our equation is
Now, we gather all the terms with x in it on the left side, and the numbers without x on the right. We get:
And then we can make this
We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08
Answer:
15 years
Step-by-step explanation:
93400=65000*e^(.025x)
x=14.5 which rounds to 15
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:
1,000
+ 900
+ 20
+ 0
+ 0.2
+ 0.09
+ 0.002
+ 0.0003
Step-by-step explanation:
one thousand nine hundred twenty and two thousand nine hundred twenty-three ten-thousandths
Answer:
x = -7 and x = 3
Step-by-step explanation:
x² + 4x - 21 = 0 factors as follows: (x + 7)(x - 3) = 0.
Then x = -7 and x = 3.
