<span>It is given that m ∥ n, m∠1 = 50</span>°<span> , and m∠2 = 42</span>°<span>. By the triangle sum theorem, m∠3 = 88</span>°<span>. Because corresponding angles formed by two parallel lines and a transversal are congruent, ∠3 ≅ ∠4. By the angle congruence theorem, m∠3 =m∠4. Using substitution, 88</span>°<span>=m. Angles 4 and 5 form a linear pair, so by the linear pair postulate, m∠4 + m∠5=180</span>°<span>. Substituting gives 88</span>° <span>+ m∠5=180</span>°<span>. Finally, by the subtraction property of equality, m∠5 = 92</span>°<span>.</span>
Answer:
Step-by-step explanation:
3(x-2y=1)
3x-6y=3
3x-6y = 3
3x-6y = 3
3x-6y = 3
-3x+6y=-3
0 = 0
x & y can be any value.
The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.
Step-by-step explanation:
Radius (r) = 93000000 miles
a) circumference= 2πr
= 2π(93000000) miles
= 186000000π miles
b) speed = distance / time
Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.
Speed = 186000000π/24
= 7750000π miles per hour
Answer:
wait do I simplify? I'm confused
Range is the value of y
f(x)=-x²+5
when x=-1, f(x)=-(-1)²+5=4
when x=2, f(x)=-(2)²+5=1
so 1<y≤4
the second piece: f(x)=2x-3
when x=2, f(x)=2(2)-3=1
when x=5, f(x)=2(5)-3=7
so 1≤y<7
union of the two parts of y: 1≤y<7
[1,7) is the answer.
