Answer:
angle BAD = 180 -2x
angle BCD = x given
angle BCD is an inscribed angle
angle DOB = 2 (angle BCD)
angle BAD = 180 -angle DOB 2 tangent theorem
Answer:
71 degrees
Step-by-step explanation:
Hi there!
- Find ∠DBH (using the sum of interior angles in a triangle)
- Find ∠x (180-∠DHB)
<u>Triangle DBH</u>
The sum of all the interior angles in a triangle is equal to 180 degrees. Knowing this, we can solve for ∠DHB by subtracting 31 and 40 from 180:
180-31-40 = 109
Therefore, ∠DHB is 109 degrees.
<u>Angle x</u>
Because ∠x and ∠DHB make a straight angle, to find ∠x, we just have to subtract 109 from 180:
180-109 = 71
Therefore, x is 71 degrees.
I hope this helps!
Answer:
-24
Step-by-step explanation:
12 (x+9)=-180
12x+108=-180
12x=-180-108
12x=-288
12x/12=-288/12
x=-24
Part a)
we have that
<span>√72
</span>√72-----> √(2*36)=√2*√36 is not 2*√36------> this is the error
√2*√36=√2*√6²-----> √2*(6)----> 6√2
<span>
</span><span>alternative method</span><span>
72 is equal to-------> 2</span>³*3²
therefore
√72-----> √[2³*3²]----->√ 2³*√3²-------> (2√2)*(3)-----> 6√2
Part b)<span>Estimate the square root of 72 to the nearest tenth
</span>
we know that
√2 is equal to 1.41
so
√72=6√2------> 6*1.41-----> 8.46----> 8.5
the answer Part b) is 8.5