Step-by-step explanation:
Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC
To prove = ∠3= 49°
Solution:
In figure, m∥n cut by traversal t.
So, ∠DEF = ∠ABC(alternative exterior angles)
∠1 + ∠2 = ∠4 + ∠5
∠ABC = ∠1 + ∠2 = 50° + 48° = 98°
Also given that s bisect angles ∠ABC.
∠4 = ∠5
∠ABC = ∠4 + ∠5 = 98°
∠4 + ∠4 = 98°
2∠4 = 98°
∠4 = 49°
∠4= ∠3 = 49° (vertically opposite angles)
∠3 = 49° ,hence proved
Answer:
1) The original price is 8920 2) The mark up is 580
Step-by-step explanation:
!)We need to find out the initial price, suppose it is equal to 100 percents. The price was raised and it has reached 100+6.5= 106.5 percents . 106.5 percents from initial price is the new price (RM 9500). Find out the value of one percent
9500:106.5= 89.2 (approximately).
2)Then find the original price multiplying the value of percent by 100. 89.2*100= 8920 - initial price
3)Then mark up is a remainder between old price and new price . It is 9500-8920= 580.
Answer:
True
Step-by-step explanation:
Since babysitting and working at the grocery store are two different things, you would need two different variables.
So x and y would be the correct representation.
Hope this helps ya!!
Answer:
f(x) has two imaginary roots and one real root.
Step-by-step explanation:
Complex roots:
I a complex number 
is a root of a polynomial, it's conjugate 
is also a root.
One root of a third degree polynomial function f(x) is -5 + 2i.
This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.
Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:
f(x) has two imaginary roots and one real root.
2 1/2 * 3
5/2 * 3/1
= 15/2
15/2 - 11 3/8
15/2 - 91/8
91/8 - 60/8
= 31/8 = 7 7/8
answer=7 7/8
