The value of angle a will be 33°.
It should be noted that when we've parallel lines, then the angles will be equal. In this case, the value of angle a will be equal to that of angle b and this will be:
5x + 8 = 8x - 7.
Collect like terms .
8x - 5x = 8 + 7
3x = 15
Divide both side by 3
3x/3 = 15/3
x = 5
Therefore, the value of angle a will be:
= 5x + 8
= 5(5) + 8
= 25° + 8°
= 33°
The measure of angle a is 33°.
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Answer: 230cm²
Step-by-step explanation:
>We can do this by splitting the figure into 2 trapeziums.
>Additionally, you can see that both trapeziums bear the same lengths a and b. Hence, we can use this formula:
.
>Thus,
Area = 
The greatest common factor is 3abc
Think of it as a normal linear equation first. Let's find the slope.
m = rise/run = (3-1)/(0-1) = -2
We know the slope is negative now, so we can immediately get rid of the first two answers. Now, we know that the solutions must be under the line itself, so we can try figuring it out by testing some points. Let's use (0,0).
Is 0 </> 0+3? Since it's <, then we know the last answer is correct (y < -2x + 3).