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Answer:
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = (15x + 10) degrees
Angle B = (15x - 10) degrees
Angle C = (3x + 15) degrees
Therefore,
15x + 10 + 15x - 10 + 3x + 15 = 180
15x + 15x + 3x + 10 - 10 + 15 = 180
33x + 15 = 180
Subtracting 15 from the left hand side and the right hand side of the equation, it becomes
33x + 15 - 15 = 180 - 15
33x = 165
Dividing the left hand side and the right hand side of the equation by 33, it becomes
33x/33 = 165/33
x = 5
Angle A = 15 × 5 + 10 = 85 degrees
Answer:
Step-by-step explanation:
a) ∠ABD + ∠DBC = 90°
4x - 3 + 7x - 6 = 90
4x + 7x - 3 - 6 = 90
11x - 9 = 90
11x = 90 + 9
11x = 99
x = 99/11
x = 9
∠ABD = 4*9 - 3 = 36 - 3 = 33
Answer: the fractional increase is 1/5
Step-by-step explanation:
The initial area of Julio's living room was 1000 sq. ft. Then he added a room that was 20 ft. by 10 ft. The area of the room that was added to the living room would be
20 × 10 = 200 square feet
The new area of the room would be
1000 + 200 = 1200 square feet
Therefore, the fractional increase of the living space would be
Increase in area/original area
It becomes
200/1000 = 1/5
Answer:225
Step-by-step explanation:
