Answer:
x = 31
Step-by-step explanation:
The sides of an isosceles trapezoid are the same length, so ...
5x -32 = 2x +61
3x = 93 . . . . . . . . add 32-2x
x = 31 . . . . . . . . . . divide by 3
<h3>
Answer: 18</h3>
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Explanation:
2 cm on paper (or on screen) represents 3 meters in real life.
The backyard is 2 cm horizontally across on the screen, so it's 3 meters across in real life. This is the shorter dimension.
The longer dimension is 6 meters. We can think of it like this
2 cm : 3 meters
2*2 cm : 2*3 meters .... multiply both sides by 2
4 cm : 6 meters
The real backyard is 6 meters by 3 meters to give an area of 6*3 = 18 square meters.
Answer:
I. First number, a = 40.
II. Second number, b = 50.
III. Third number, c = 120.
Step-by-step explanation:
Let the three numbers be a, b and c respectively.
Given the following data;
Translating the word problem into an algebraic equation, we have;
a + b + c = 210
b = a + 10
c = 3a
Substituting the value of b and c into the equation, we have;
a + a + 10 + 3a = 210
5a + 10 = 210
5a = 210 - 10
5a = 200
a = 200/5
<em>a = 40</em>
To find the value of b;
b = a + 10
b = 40 + 10
<em>b = 50</em>
To find c
c = 3a
c = 3*40
<em>c = 120</em>
The gcf of 9 and 18 is 18