solving a linear equation we conclude that the value of x must be 6.
<h3>
How to find the value of x?</h3>
On the statement we have the relations:
AB = BC
BC = CD
For the transitive property, then we have that:
AB = CD
Replacing the equations in the image, we get:
2x + 1 = 4x - 11
Solving this linear equation for x we get:
1 + 11 = 4x - 2x
12 = 2x
12/2 = x
6 = x
So yes, solving that linear equation we conclude that the value of x must be 6.
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Answer:
<em>k=-3</em>
Step-by-step explanation:
<u>Equation of a line</u>
The general equation of a line can be written as:
Ax+By=C
The x-intercept is the point where the line crosses the x-axis, i.e. y=0, thus replacing x=3 and y=0:
A(3)+B(0)=C
3A=C
Solving for A:
A=C/3
The y-intercept is the point where the line crosses the y-axis, i.e. x=0, thus replacing x=0 and y=5:
A(0)+B(5)=C
5B=C
Solving for B:
B=C/5
Replacing into the general equation:
Simplifying by C:
The point P(k,10) belongs to the line, thus:
Operating:
Multiplying by 3:
The line below are parallel so they have same slopes
If the green line has a slope of -1/2, the slope of the red line is also - 1/2
Answer
-1/2
Area of the figure shaded in yellow = 2 x 3 + 2 x 6 = 18 cm²
Total Surface Area = 18 + 18 + (4 + 3 + 2 + 3 + 2 + 6) x 3 = 96 cm²
Answer: 96 cm²
I believe it is 150º because a supplementary angle is 180º so 180-30=150.
