Answer:
4 and 6 are the two consecutive even integers
Step-by-step explanation:
Hi,
Let x represent the smaller of the two consecutive even integers, (x+2) the other
Write as we Read***
6x = 4(x+2)
solve for x
6x = 4x + 8
2x = 8
x = 4
checking our answer
6*4 = 4*6 = 24
Answer:
OK I will try
Step-by-step explanation:
Answer:
x = tan⁻¹(⅘)
Step-by-step explanation:
We can solve for x by using trigonometric ratios (sin, cos, and tan)
We need to apply the appropriate ratio that uses the two sides 8 and 10 from the perspective of x. See attached image for information about ratios. (Source: Math is Fun)
The tangent ratio is opposite divided by adjacent. It will relate x to the two sides. So we would write
tan(x) = ⁸⁄₁₀
Then we simplify and move the tan to the other side by multiplying both sides by the inverse of tan (since you cannot divide by tan)
tan(x) = ⅘
x = tan⁻¹(⅘)
Then we can use a calculator to evaluate x
If you want to find y, now that you have two angles of the triangle, you can find the sum of 90 + x and subtract that from 180 (since all angles of a triangle add up to 180) to find y.
The coefficient for y is -5 in the first equation, +2 in the second equation, so the least common multiple is -10