1) 3 / x = 4 / 6
2) 4x = 18
3) x = 4.5
4) 4.5 + 6 + 4.5 + 6 = 21
Answer: 21 m
∠JAL is 65° because vertical angle to ∠IAK
So angle ∠JAE is 90° - 65° (total angle measure is 90°)
∠JAE is 25°
Therefore ∠ACB is also 25° because alternate interior angles
And ∠JCG is 25° because vertical angles
A number with exactly 14 divisors can be of one of the two following forms...
<span>p^6 * q </span>
<span>OR </span>
<span>p^13 </span>
<span>where p and q are prime. </span>
<span>From here it should be obvious that the smallest such number is 2^6 * 3 = 192</span>
Answer: x=40°
Step-by-step explanation:
The two triangles are congruent (I think it’s called the interior angle proof) so the bottom right angle is also 65°. All angles in a Triangle equal 180°, so 180-(75+65)=40
The area of a circle is A = πr^2. We let A1 And A2 the areas of the circles and r1 and r2 the radius of each, respectivley.
A1 + A2 = 80π
Substitute the formula for the area,
π(r1)^2 + π (r2)^2 = 80π
From the statement, we know that r2=2(r1).
<span>π(r1)^2 + π (2 x r1)^2 = 80π
</span>We can cancel π, we will have
5 x (r1)^2 = 80
Thus,
r1 = 4 and r2 = 8
