2x + 3 (x - 10) = 45 ?? A. X =15 B. X=3 C. X=7 D. X=11
1 answer:
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Answer:
- 3960 ft²
Step-by-step explanation:
The pentagon has been split into 5 congruent triangles.
<u>Each triangle has area of:</u>
- 1/2*48*
= 24*
= 24*33 = 792 ft²
<u>The area of the room is:</u>
- 792*5 = 3960 ft²
You can solve this by using "similar triangles".
In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.
You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
Substitute for the values of AC, BC, DF and EF:
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
Substitute for the values and solve:
We have the value x to be 5.5 units and y to be 6 units.
In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.
You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
Substitute for the values of AC, BC, DF and EF:
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
Substitute for the values and solve:
We have the value x to be 5.5 units and y to be 6 units.
Make y the subject in both equations
For the second equation
The two equations are parallel because they have the same gradient or slope but different y intercepts.
This type of equations have no solution because they will never intersect.
The correct answer is C
For the second equation
The two equations are parallel because they have the same gradient or slope but different y intercepts.
This type of equations have no solution because they will never intersect.
The correct answer is C