Answer: First Question: True
Second Question: False
Third Question: False
Step-by-step explanation:
Based on the equations in the image, I used the substitution method.
The team ran 2 miles.
Step-by-step explanation:
Step 1; The track is
miles long and the team ran 2
laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.
Distance run = Number of laps × Distance on each lap.
Step 2; We convert 2
from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2
= ((2 × 3) + 2) / 3 =
.
Distance run = Number of laps × Distance on each lap =
×
=
= 2 miles.
1) The triangles are congruent by SSS.
The two tick marks indicate two pairs of congruent sides; it is evident that the third side is congruent by the way the diagram is drawn - the bases of the triangles are together and appear to be the same length.
2) The triangles are congruent by SAS.
The two pairs of tick marks indicate congruent sides, and their included angles are congruent because they are vertical angles, and vertical angles are always congruent.