The LCD = 6x^2y^3 ( because LCD of 3 and 6 = 6, LCD of x^2 and x = x^2 and LCD of y and y^3 = y^3)
now divide 3x^2y into the LCD then multiply this by 5 to get the first term in the numerator and do similar process to get second term, so we get:-
5(2y^2) - 4(x)
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6x^2y^3
= 2( 5y^2 - 2x)
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6x^2y^3
= 5y^2 - 2x
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3x^2y^3
Step-by-step explanation:
let the younger person be x and older be y
4x + 9 = 24
4x = 15
x = 3.75
y = 24 - 3.75
y = 20.25
Answer:
a) ∠BAC corresponds to ∠CDA
Step-by-step explanation:
We assume that the statement ∠BCA ≅ ∠CAD is supposed to mean ΔBCA ~ ΔCAD.
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For any statement about correspondence to be true, the order of the vertex names in the statement must match the order of the vertex names in the similarity claim.
Here, the letters of ∠BAC are the 1st, 3rd, and 2nd letters of the name of the first triangle in the assumed similarity statement. The 1st, 3rd, and 2nd letters in the name of ΔCAD are C, D, A, so corresponding angles are ...
∠BAC and ∠CDA . . . . . matches answer choice A
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<em>Comment on the problem statement</em>
As written here, ∠C in the first triangle corresponds to ∠A in the second triangle. This tells you nothing about the relationships of the other angles or sides. That is why we have to assume a similarity statement is intended. Otherwise, the problem cannot be appropriately answered.
Answer:
60
Step-by-step explanation:
the 6 in 7639 has a value of 600
600/10 = 60
Answer:
Step-by-step explanation:
if ∠1=∠2
2x+12=3x+3
3x-2x=12-3
x=9
∠1=2×+12=30°
∠2=30°
∠VXW=30+30=60°