Answers:
- x = 10
- angle CAT = 126 degrees
- angle MUD = 54 degrees
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Explanation:
∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.
( m∠CAT ) + ( m∠MUD ) = 180
( 11x+16 ) + ( 4x+14 ) = 180
11x+16 + 4x+14 = 180
(11x+4x) + (16+14) = 180
15x+30 = 180
15x = 180-30
15x = 150
x = 150/15
x = 10
Let's find each angle based on this x value
- m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
- m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees
Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.
Answer:
Tanto Pedro como Jorge deberán pintar 1/4 de la habitación cada uno.
Step-by-step explanation:
Dado que el cuarto entero es igual a 1, y que Arturo por ser el mayor de los hermanos tiene que pintar 1/2 de él, la parte que falta pintar es igual a 1/2 restante.
De ese 1/2, los hermanos menores, Pedro y Jorge, deben pintar dicha fracción en partes iguales. Por lo tanto, dado que (1/2) / 2 es igual a 1/4, la fracción que tanto Pedro como Jorge deberán pintar es de 1/4 de la habitación.
Answer:
Cosa/2-tana+sina
Step-by-step explanation:
Cosatana
Answer:
Midpoint (x , y) of two points is
( x1 + y1/2 , x2 + y2/2)
Midpoint of KL is M ( -8 , 1)
Let the coordinates of L be ( a , b)
From the above definition
Midpoint between K(-6 , 5) and
L ( a ,b) is
(-8 , 1) = ( -6+a/2 , 5+b/2)
Comparing first point with - 8
- 8 = -6 + a /2
Multiply through by 2
We get
-16 = - 6 + a
a = -16+6
a = - 10
Comparing the second point with 1
1 = 5+b/2
Multiply through by 2
2 = 5 + b
b = 2 - 5
b = -3
Therefore a = -10 and b = - 3
Hence the coordinates of
L is ( -10 , - 3)
Hope this helps
