Answer:
Sam is 12, sam's brother is 19, and sam's mom is 32.
Step-by-step explanation:
First the equation you need to use is S+7+S+3S-4=63(the variable s represents Sam), you combine the like terms which then equals 5S+3=63, then you use inverse operations. Subtract 3 on both sides, 5S=60, then you divide on both sides which equals S equals 12. Then you just plug in the number, S is Sam which means Sam's 12. Then 12+7 which is 19, Sam's brother. Then 3 times 12 minus 4 is 32. And if you check to make sure, 12+19+32 does equal 63.
Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.
To find the form of the case we need to know about the triangle congruence theorem.
<h3>What is triangle congruence theorem?</h3>
Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
- Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.
- Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.
- Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.
Given information-
Evelyn is 104 meters from the take off.
The angle of elevation of the plane is 12°.
The plane is 100 meters away from the takeoff point.
The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).
Thus the two triangle formed which are congruent.
As above discussed the case of SAS exists for the triangle congruence theorem.
Hence the given information is the SAS case.
Learn more about the triangle congruence theorem here;
brainly.com/question/19258025
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
(mb if it’s incorrect)
Answer:
can't be simplified or you can add you get the answer
Answer:
See below
Step-by-step explanation:
Let the number of Payday be p and Baby Ruth be b
<u>Then sub of the candy bars:</u>
- Payday candy bars worth ⇒ $2p
- Baby Ruth candy bars worth ⇒ $3b
- Total ⇒ $600
1. <u>Required equations:</u>
2. <u>Solving by substitution:</u>
p = 220 - b, consider it in the second equation
- 2(220 - b) + 3b = 600
- 660 - 2b + 3b = 600
- 660 + b = 600
- b = 660 - 600
- b = 60
60 Baby Ruth candy bars sold
