<span><span>Well, since we know that sin(x) = cos(90-x), we can transform the given into
2x - 8/3 = 90 - (4x - 10/3)
2x - 8/3 = 90 - 4x + 10/3
Now clear fractions by multiplying by three...
6x - 8 = 270 - 12x + 10
6x - 8 = 280 - 12x
18x = 288
x = 16
4x - 10/3 = 4(16) - 10/3 = 64 - 3.33 = 60.67 degrees.
Choice C.</span><span>
</span></span>
Answer:
x = 63°
y = 27°
Step-by-step explanation:
RECT is a rectangle.
By the property of interior angles of a polygon,
All interior angles of a rectangle measure 90°
m(∠RTC) = 90°
m(∠RTC) = m(∠RTE) + m(∠CTE) [Angle addition postulate]
x° + 27° = 90°
x = (90 - 27)°
x = 63°
Since, opposite sides of a rectangle are parallel and equal in measure,
RE║TC and TE is a transversal line,
m∠RET = m∠CTE [Alternate interior angles]
y = 27°
Write the equation of the circle with center (3, 2) and radius r = 7. Use the ^ key for the exponents. Write your answer as the example:
(x - 4)^2+(y+8)^2=25
