There are no real solutions to that equation.
Angle A is the smallest.
It's truly simple; The triangle's smallest side is 10 units (used for unknown units of measurements). Angles A and E are both acute angles, however, angle E is larger due to side AD being larger than side ED. So, the angle has to widen in order to reach the full length.
Answer:
C) 7
Step-by-step explanation:
3^x−2=2187
Step 1: Add 2 to both sides.
3^x−2+2=2187+2
3^x=2189
Step 2: Solve Exponent.
3^x=2189
log(3x)=log(2189) <<Take log of both sides
x*(log(3))=log(2189)
x= log(2189)/log(3)
x=7.000832
9514 1404 393
Answer:
(c) Yes, because angle 3 and angle 6 are congruent
Step-by-step explanation:
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
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We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.
Answer:
Mai lives 384 miles away from the mountains
Step-by-step explanation:
Let d represent distance between Mai's house and mountains and r represent Mai's rate while going to mountains.
We have been given that there was heavy traffic on the way there, and the trip to mountains took 8 hours.
We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.
Upon equating equation (1) and equation (2), we will get:
Upon substituting in equation (1), we will get:
Therefore, Mai lives 384 miles away from the mountains.
