Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
The numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
Based on the given data,
m ∠DEA= x + 30,
m ∠AEF= x + 132, and
m ∠DEF= 146 degrees
If the sum of two linear angles is 360° then, they are known as supplementary angles.
∠A + ∠B + ∠C = 360°, (∠A and ∠B and ∠C are linear angles.)
So,
We can write,
m ∠AEF + m ∠DEA + m ∠DEF = 360°
( x + 132) + (x + 30) + 146 = 360°
x + 30 + x + 132 + 146 = 360°
2x + 308 = 360°
2x = 360° - 308
x = 52/2
x =26
Now, we will substitute the value of x = 26° in the ∠DEA and ∠AEF, hence we get:
m ∠DEA = x + 30
m ∠DEA = 26 + 30
m ∠DEA = 56 degrees
Also,
m ∠AEF = x + 132
m ∠AEF = 26 + 132
m ∠AEF = 158
Hence,
m ∠DEA + m ∠AEF + m ∠DEF = 360°
56 + 158 + 146 = 360°
360° = 360°
Therefore,
Therefore, the numerical sum of the degree measures of m ∠DEA and m ∠AEF and m ∠DEF is 360°; The numerical measures of the angles is,
m ∠DEA = 56°
m ∠AEF = 158°
m ∠DEF = 146°
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Answer:
6x¹⁰ - 96x²
6x²(x⁸ - 16)
B) 6x²(x⁸ - 16)
6x²[(x⁴)² - 4²]
6x²[(x⁴ - 4)(x⁴ + 4)]
6x²(x⁴ + 4)[(x²)² - 2²]
6x²(x⁴ + 4)(x² - 2)(x² + 2)
Answer:
okay first one is ,3
Step-by-step explanation:
