You have two 30-60-90 triangles, ADC and BDC.
The ratio of the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
Using triangle ADC, we can find length AC.
Using triangle BDC, we can find length BC.
Then AB = AC - BC
First, we find length AC.
Look at triangle ACD.
DC is the short leg opposite the 30-deg angle.
DC = 10sqrt(3)
AC = sqrt(3) * 10sqrt(3) = 3 * 10 = 30
Now, we find length BC.
Look at triangle BCD.
For triangle BCD, the long leg is DC and the short leg is BC.
BC = 10sqrt(3)/sqrt(3) = 10
AB = AC - BC = 30 - 10 = 20
Any line is 180 degrees, so z is 67 degrees and x is 6.
Answer:
y = 1/2x - 9/2
Step-by-step explanation:
<span>8d3 + (6d2 – 4d)
=</span><span>8d3 + 6d2 – 4d
=2d(4d^2 + 3d - 2)
=2d(2d - 1)(d + 2) ...simplify and this is your answer
</span>
2x-7=29
"Seven less than" => minus 7.
"Two times <u>a number</u>" => 2x (x is the unknown number)
"is twenty-nine" => =29
Putting it all together,
-7 + 2x = 29
or
2x-7=29
(if you were wondering x is equal to 18)
