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Mathematics

1 answer:

Vinil7 [7]2 years ago

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Answer:
The area of triangle QUV is 24 square feet

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Explanation:

Segment TV is the base of the green parallelogram PRTV
The height is segment RS which is 8 ft. This is marked as the perpendicular dashed segment line (note the right angle marker). RS is perpendicular to SV, which in turn means RS is perpendicular to TV as well.

Area of Parallelogram = Base*Height
96 = TV*RS
96 = TV*8
96/8 = TV
12 = TV
TV = 12

Segment TV is composed of TU and UV, both of which are congruent segments. The single tickmarks show this. The instructions also state "the lengths of segment TU an segment UV are equal"
So TU = UV
TU + UV = TV
UV + UV = TV
2*UV = TV
2*UV = 12
UV = 12/2
UV = 6

The height of triangle QUV is also RS = 8 because triangle QUV is completely enclosed inside the parallelogram, and because RS is perpendicular to UV. The base of triangle QUV is the segment UV = 6

Area of triangle QUV = (base)*(height)/2
Area of triangle QUV = UV*RS/2
Area of triangle QUV = 6*8/2
Area of triangle QUV = 48/2
Area of triangle QUV = 24 square feet

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For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 students

Sergeu [11.5K]

Answer:

80%

Step-by-step explanation:

We are told that 1,200 students wore their school colors of green and white.

Also, we are told that 300 students did not wear school colours green and white.

Thus, total number of students = 1200 + 300 = 1500

Thus;

percent of the school population who wore their school colors is; (1200/1500) × 100% = 80%

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