Answer:
m∠2=47.5°
m∠3=42.5°
m∠4=42.5°
Step-by-step explanation:
We are given in the question that m∠1=47.5 degrees=47.5°.
<em>" Angles are</em><em> congruent </em><em>if they have the same angle measure in degrees" ----(1)</em>
As we are given that ∠1 is congruent to ∠2.
This implies from statement (1) that:
m∠2=47.5 degrees=47.5°
<em>" Complementary Angle: Two Angles are </em><em>Complementary</em><em> when they add up to 90 degrees (a Right Angle)."</em>
In the question we are given ∠1 and ∠3 are complementary.
This means ∠1+∠3=90°
⇒ ∠3=90°-∠1
⇒ ∠3=90°-47.5°=42.5°
Hence, m∠3=42.5°
Also we are given that ∠2 and ∠4 are complementary.
This means ∠2+∠4=90°
⇒ ∠4=90°-∠2
⇒ ∠4=90°-47.5°=42.5°
Hence, m∠4=42.5°.
We factor out primes from 32 to find it's prime factorization.
32=2*16=2*2*8=2*2*2*4=2*2*2*2*2. 2 is a prime number, so this cannot be reduced further. Since we have five twos and no other primes, the factorization is 2^5, and the only prime factor is 2.
I hope this helps you
x^3-8x+3x^2-24
x (x^2-8)+3 (x^2-8)
(x^2-8)(x+3)
Distance = d in miles
speed = s in miles per hour
time = t in hour
s = d/t
s*t = d
d = 65 * 3.5
d = 227.5
Answer: The district traveled by a car going 65 mph for 3.5 hours is 227.5 miles.