Dory lives 2.5 miles from school. Jim lives 3.2 kilometers from school. Ely lives 2300 meters from school, and Chris lives 3000
1 answer:
Answer:
Step-by-step explanation:
The distances must be expressed in the same uni.
Let's express the distance in meters.
We know that Dory lives 2.5 miles from school.
Since:
The distance in kilometers is:
Since
The distance in meters is:
Jim lives 3.2 kilometers from school. The distance in meters is:
Chris lives 3,000 yards from school.
Since:
The distance in meters is:
Therefore, the order of the students from closest to farthest from school is:
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The missing steps are each right angles and .
Solution:
Step 1: Given data:
Step 2: In the two polygons,
and
(Each right angle)
Step 3: Given
Step 4: By third angle theorem,
If two angles in one triangle are congruent to the two angles in the other triangle, then the third angles in the triangles also congruent.
Step 5: By the definition of congruent polygons,
If two same shape polygons have all the angles are congruent and all the corresponding sides are congruent then the polygons are congruent.
Hence .
Therefore the missing steps are each right angles and .
So we have the system of equations:
equation (1)
equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
in equation (2):
equation (3)
Replacing equation (3) in equation (1):
equation (4)
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for
Replacing equation (3) in equation (1):
Replacing equation (4) in equation (3):
We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>
Let a = 7 , b = 7, and c = 13. c is always the biggest number.
Acute Triangle is when
Right Triangle is when
Obtuse Triangle is when
Acute Triangle is when
Right Triangle is when
Obtuse Triangle is when