Step-by-step explanation:
This is a word problem that we must translate to mathematical expression before we can solve.
let the individual saving be the first letters of the names
Jada= J
Lin= L
Elena= E
1. Jada saved $20 less than Lin
J=L-20
2. Lin saved 3 times as much money as Elena
L= 3E
3. Hence Elena saved
E
Together they saved $120.
hence
(L-20)+3E+E= 120
L-20+3E+E= 120
collecting like terms we hav
L+4E=120+20
L+4E= 140
but we know that L= 3E
3E+4E= 140
7E= 140
divide both sides by 7 we have
E= 140/7
E= $20
This means Elena saves $70
also L= 3E
L= 3*20
L= $60
this means that Lean saved $60
also J=L-20
J= 60-20
J= $40
This means that Jada saved $40
Answer:
.018
Step-by-step explanation:
Answer:
Step-by-step explanation:
ok so i think you need 15g sait/7g yeast/29ml oil/428ml water
<h3>
Answer: B) II and III</h3>
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Explanation:
Check out the diagram below.
On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.
Angle STR = Angle VTU because they are vertical angles
Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.
We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.
AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.