The correct answer is B.
+ 15 represents the 15 miles she already ran.
30x represents the amount of miles she will need to run each day (because there are 31 days in January, and 1 of them has already been accounted for.
Answer:
C 10 in
Step-by-step explanation:
side of P is
= 6
side of Q is
= 8
for missing side use Pythagorean theorem
= 
r^{2} = 36 + 64
r^{2} = 100
r = 10 in
Answer:
exponent
Step-by-step explanation:
There is no graph for me to use
Explanation:
<u>Statement 2</u>:
Angle J is congruent to itself
<u>Reason 2</u>:
Reflexive property of congruence
__
<u>Statement 3</u>:
ΔHIJ ~ ΔGHJ
<u>Reason 3</u>:
SAS similarity theorem
_____
The sides given as proportional (having the same ratio) are corresponding sides in the two triangles. The first pair of sides (HJ, GJ) are named by the first and last letters of the triangle names, so correspond. The second pair of sides (IJ, HJ) are named by the last two letters of the triangle names, so correspond.
The angle between these corresponding sides is the one at the vertex whose name is the point shared by the sides. In the first triangle, the two sides of interest are HJ and IJ, which share the point at J. Thus angle J is the angle between these two sides. In the second triangle, the two sides of interest are GJ and HJ, which share the point at J. Hence angle J is the angle between these two sides, also.
So, we have corresponding sides that are proportional and the angle between them that is congruent (to itself). This allows us to invoke the SAS theorem for triangle similarity.