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°
300/20 = 15
she can skip 15 feet per second
hope this helps
Step-by-step explanation:
m1.m2= -1
(4y = -2x -9)= (y = -1x/2 -9/4)
-1/2.m2= -1
m2 = 2
formula = y - y1 = m2 ( x - x1)
y - 10 = 2 ( x - (-7))
y - 10 = 2x + 14
y = 2x + 24
Answer:
(5, - 4 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = - 2 → (1)
3x - y = 19 → (2)
Multiplying (2) by 3 and adding to (1) will eliminate the y- term
9x - 3y = 57 → (3)
Add (1) and (3) term by term to eliminate y
(2x + 9x) + (3y - 3y) = (- 2 + 57), that is
11x = 55 ( divide both sides by 5 )
x = 5
Substitute x = 5 into either of the 2 equations and solve for y
Substituting into (1)
2(5) + 3y = - 2
10 + 3y = - 2 ( subtract 10 from both sides )
3y = - 12 ( divide both sides by 3 )
y = - 4
Solution is (5, - 4 )
