Answer:
y =200
Step-by-step explanation:
find the explanation of the question in the picture above
Answer:
(-3,5),(-3,-5),(3,5),(3,-5)
Step-by-step explanation:
i changed my answer :)
Answer:
im so stuck
Step-by-step explanation:
Answer:
12 boys
Step-by-step explanation:
From the above question:
Number of boys = 3
Number of girls = 2
Boys: Girls
3:2
Let :
a = boys
b = girls
Hence, a : b = 3 : 2
a/b = 3/2
Cross Multiply
2a = 3b .......... Equation 1
a = 3b/2
If four more girls join the class, there will be the same number of boys and girls
Hence,
a: b + 4 = 3 : 3
a/b + 4 = 3/3
Cross Multiply
3a = 3(b + 4)
3a = 3b + 12 ........ Equation (2)
From Equation 1: a = 3b/2
Substitute 3b/2 for a in Equation 2 we have:
3a = 3b + 12 .........Equation 2
3(3b/2) = 3b + 12
9b/2 = 3b + 12
Cross Multiply
9b = 2(3b + 12)
9b= 6b + 24
9b - 6b = 24
3b = 24
b = 8
Substitute 8 for b in Equation 1
a = 3b/2
a = 3 × 8/2
a = 24/2
a = 12
Therefore, the number of boys in the class is 12
Explanation:
3. ∠2 and ∠3 are a linear pair → definition of a linear pair
4. ∠3 and ∠4 are a linear pair → definition of a linear pair
5. m∠2 +m∠3 = 180° → definition of a linear pair (or angle addition postulate)
6. m∠3 +m∠4 = 180° → definition of a linear pair (or angle addition postulate)
7. m∠2 +m∠3 = m∠3 +m∠4 → substitution property
8. m∠2 = m∠4 → subtraction property
9. ∠2 ≅ ∠4 → definition of congruent angles
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A pair of angles is a "linear pair" if they are adjacent and supplementary. ∠2 and ∠3 are adjacent and the non-common legs form a straight line. It isn't clear what your definition of linear pair is and what you need to do to claim that the angles sum to 180°. Above, we have assumed a definition of "linear pair" that includes the facts that → they sum to 180°; → non-adjacent sides form a straight line.