Answer:
82.4 cm
Step-by-step explanation:
The computation of the height is given below:
As we know that each right triangle contains the top angle of 20 degrees
So, the right angle & the bottom corner angle equivalent to
= 180 - 90 - 20
= 70 degrees
Now the height is
tangent = opposite leg ÷ adjacent leg
tan (70°) = height ÷ 30 cm
height = 30 cm × tan (70°)
= 82.4 cm
Step 1
<u>Find the value of x</u>
we know that
-------> by corresponding angles, because the given lines are parallel
Solve for x
![(x-1)\°=74\°\\x=74+1 \\ x=75\°](https://tex.z-dn.net/?f=%28x-1%29%5C%C2%B0%3D74%5C%C2%B0%5C%5Cx%3D74%2B1%20%5C%5C%20x%3D75%5C%C2%B0)
Step 2
<u>Find the value of y</u>
we know that
![(x-1)+40+(y-2)=180](https://tex.z-dn.net/?f=%28x-1%29%2B40%2B%28y-2%29%3D180)
substitute the value of x and solve for y
![(75-1)+40+(y-2)=180](https://tex.z-dn.net/?f=%2875-1%29%2B40%2B%28y-2%29%3D180)
![74+40-2+y=180](https://tex.z-dn.net/?f=74%2B40-2%2By%3D180)
![112+y=180](https://tex.z-dn.net/?f=112%2By%3D180)
![y=180-112](https://tex.z-dn.net/?f=y%3D180-112)
![y=68\°](https://tex.z-dn.net/?f=y%3D68%5C%C2%B0)
therefore
<u>the answer is the option B</u>
![x=75\°, y=68\°](https://tex.z-dn.net/?f=x%3D75%5C%C2%B0%2C%20y%3D68%5C%C2%B0)
9514 1404 393
Answer:
C. 168°
Step-by-step explanation:
The exterior angle at any vertex of an n-gon will be ...
360°/n
So a 30-gon will have exterior angles of ...
360°/30 = 12°
The adjacent interior angle is supplementary to this, so is ...
180° -12° = 168°
_____
<em>Using the reasonableness test</em>
You know that the interior angles of a square are 90°, and that regular polygons with more sides have larger interior angles. The most any regular polygon's interior angle can be is 180°. The only answer choice between 90° and 180° is the correct choice: 168°.
Answer:
the equation is : x²-x-12
Step-by-step explanation:
the quadratic equation is in the form of : y=ax²+bx+c
the product of the zeros is -12 and the sum is 1
b = - 1
c=-12 (product)
y=x²-x-12
check : factorize first (x+3)(x-4)=0
either x+3=0 then x=-3
or x-4=0 then x=4
-3*4=-12
-3+4=1
the equation is : x²-x-12
To find the area you do A=bh(basexheight) 12x8=96