The two triangles are similar.
The angles of a triangle sum to 180°. Using the known angles in the first triangle, we find the missing angle measure:
180-(65+70) = 180-135 = 45
We do the same for the second triangle:
180-(65+45) = 180 - 110 = 70
Any two triangles that have all 3 angles congruent is similar by AAA.
Answer:
Step-by-step explanation:
What we know is that A + S = 111. That is, the miles Andre drove plus the miles Scott drove totalled 111 miles. What we also know is that Scott drove quite a bit more than Andre did. Scott drove 7 miles more that ( +7 ) 3 times the number of miles Andrea drove. That looks like this algebraically:
S = 3A + 7
Now we can sub in that value for S to the original equation:
If A + S = 111 and S = 3A + 7, then
A + 3A + 7 = 111 and
4A + 7 = 111 and
4A = 104 so
A = 26 and
S = 3(26) + 7 so
S = 85 miles.
Scott drove 85 miles.
Answer:
900 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon can be found by
(n-2)*180 where n is the number of sides
This figure has 7 sides
(7-2)*180
5*180
900
Answer: A = 72000(1.034)^8
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = initial population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 72000 (1+ 3.4/100) ^8
A = 72000(1.034)^8
Feel free to ask for more if needed or if you did not understand something
In geometry, the three undefined terms are: the point, the plane and the straight line.
Since all the given graphs represent lines,we will need to choose the straight line among them.
Straight line is a line that has no start and no end.
From the choices:
Figures a and c are rays
figure b is a line segment
figure d is a straight line
Therefore, the correct choice is: D
