I will base the figure from the one you attached in the other problem you posted. (Also attached here).
Statements [Reasons]
1. Angle X is congruent to Angle Z [Given]
2. Line XY is congruent to Line YZ [Given]
3. Angle Y is congruent to Angle Y [Congruence is reflexive]
4. Triangle XBY is congruent to Triangle ZAY [ASA]
ANSWER: The ASA (Angle Side Angle) Congruency Theorem could be applied.
AAA is not a valid congruence theorem. This is because we can construct two different triangles, of different shapes, and they both have the same corresponding angles. See the diagram below. Simply form any triangle you want and scale up or down to form a second triangle. The two triangles are similar, but they aren't congruent. They need to be the same size and shape to be congruent.
Answer:
I have never heard of it sorry
A)
s = sweater
j = jeans
Equations:
4s + 2j = 140
2s + 3j = 150
B)
4s + 2j = 140
2s + 3j = 150
Multiply (-2) to the second equation
-2 (2s + 3j = 150)
-4s - 6j = -300
Now you have the equations:
4s + 2j = 140
-4s - 6j = -300
-----------------------------add
-4j = -160
j = 40
4s + 2(40) = 140
4s + 80 = 140
4s = 60
s = 15
The cost for a sweater is $15 and the cost for a jean is $40
We used the elimination method to solve the system of equations.
C)
Each pair of jean, she will buy 3 sweaters so total = 40 + 3(15) = $85
Total cost for 1 pair of jeans and 3 sweaters = $85
If she has $225 the
$225 / $85 = 2.64
2 jeans = 2 x 40 = $80
6 sweaters = 6 x $15 = $90
So She can only buy 2 jeans and 6 sweaters
Answer:
Half a pound.
Step-by-step explanation:
To find the number of pounds he ate, multiply the fractions.
He ate 1/2 a pound.
