31. At the candy store:
=> Ericka bought 3 kilograms of Cinnamon red hots and 1 kilograms of gummy bears for 21.00 dollars.
=> Irene bought 3 kilograms of cinnamon red hots and 3 kilograms of gummy bears for 39.00 dollars.
Question: Find the costs of each kilograms.
Notice that the cinnamon red hot that they both are the same, the only difference is the gummy bears, which added 2kilos for Irene.
Now, let’s subtract
=> 39 – 21 = 18 dollars – this is the costs of 2 kilos of gummy bear
=> 18 / 2 = 9 dollars, thus the price of each kilos of gummy bear is 9 dollars,
Now, let’s solve for the cinnamon
=> 21 – 9 = 12 dollars, to be divided with 3 kilos
=> 12 / 3 = 4 dollars – the price of cinnamon red hot per kilo.
<u>Question 2</u>
1) 
(given)
2) 
(reflexive property)
3) 
are right angles (perpendicular lines form right angles)
4) 
are right triangles (a triangle with a right angle is a right triangle)
5) 
(HL)
<u>Question 3</u>
1) 
is a right angle, 
(given)
2) 
is a right angle (perpendicular lines form right angles)
3) 
are right triangles (a triangle with a right triangle is a right angle)
4) 
(reflexive property)
5) 
(HL)
6) 
(CPCTC)
7) 
bisects 
(if a segment splits an angle into two congruent parts, it is an angle bisector)
Tangent (X) = Opposite Leg / Adjacent Leg.
Tangent (H) = 9/40
The answer is Tangent.
7Answer:
Step-by-step explanation:
Answer:
susan´s age=4
jack´s age=31
Step-by-step explanation:
Hello!
To solve the first part of this problem we must propose a system of equations of 2 x2, that is to say two equations with two unknowns where
J = is the age of jack
S = susan's age
with the above the following two equations are inferred
ecuation 1
J=S+27
ecuation 2
(J+5)=4(s+5)
J=4S+20-5
J=4S+15
now to solve we subtract equation 1 from equation 2 as follows
J=4S + 15
-
J=S + 27
___________
0=4S-S+15-27
0=3S-12
susan is 4 years old
now we use the ecuation number 1
J=S+27
J=4+27=31
jack is 31 years old
b.
Finally, to verify that the answer is correct, we replace the ages of jack and susan in equation 2.
(J+5)=4(s+5)
(31+5)=4(4+5)
36=36
as the equation is the same means that our answer is correct
