Answer:
x = 77
y = 72
z = 31
Step-by-step explanation:
The formula for the Perimeter of triangle XYZ = x + y + z
From the question:
x + y + z = 180
In the triangle, x is 5 greater than y,
x = y + 5
y is 21 less than three times z
y = 3z - 21
3z = y + 21
z = y + 21/3
Hence:using substitution
x + y + z = 180
y + 5 + y + y/3 + 21/3 = 180
2y + y/3 + 5 + 21/3 = 180
2y + y/3 = 180 - ( 5 + 21/3)
2y + y/3 = 180 - (5 + 7)
2y + y/3 = 180 - 12
2y + y/3 = 168
Multiply both sides by 3
2y × 3 + y/3 × 3 = 168 × 3
6y + y = 504
7y = 504
y = 504/7
y = 72
Solving for x
x = y + 5
x = 72 + 5
x = 77
Solving for z
z = (y + 21)/3
z = (72 + 21)/3
z = 93/3
z = 31
Therefore,
x = 77
y = 72
z = 31
Figure on top is 8 times 9 (to find volume)
the figure on top has a volume of 72 cm<span>^3
the volume of the lower figure:
3 times 9 times 5 = 135 cm</span><span>^3
72+135=207 cm</span><span>^3
the volume of both figures is 207 cm</span><span>^3</span>
Answer:
Step-by-step explanation:
The area would be 90cm
Explanation: To find area u multiple length times width, therefor 12x7 = 84 and 2x3 = 6
Then add it all together and it will equal 90cm
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