Answer:
5,580
Step-by-step explanation:
Rectangle: 36x30x60=6480
Triangle: 1/2x15x20x6=900
6480-900=5,580
x = points in first game
y = points in second game
6x=y to make them equal multiply the first games points by 6
x+y=35 the points in both games
x +6x = 35 substitute for y (y=6x)
7x=35 combine like terms
x=5
y=6x
y=6(5)
y=30 points
9514 1404 393
Answer:
a) ∠DAE = 33°; ∠ABD = 57°
b) ∠CEB = 90°
c) ∠ABE = 22°
d) ∠ADE = 15°
Step-by-step explanation:
The diagonals of a rhombus meet at right angles. Each bisects the corner angles at its ends. Adjacent angles are supplementary, opposite angles are congruent, and each diagonal creates two isosceles triangles.
a) ∠DAE = 90° - ∠ADE = 90° -57°
∠DAE = 33°
∠ADE = ∠ABD = 57°
__
b) ∠CEB = 90° . . . . . the diagonals meet at right angles
__
c) ∠ABE = 44°/2
∠ABE = 22°
__
d) ∠ADE = 90° -(1/2)∠DAB = 90° -150°/2
∠ADE = 15°
Answer:
x = -12
Step-by-step explanation:
Set logs up on both sides-
log 16^x = log 64^x+4
The variable goes behind because of the exponent log <em>property</em> (exponents are permitted to go behind the log to multiply)-
x * log 16 = x + 4 * log 64
Divide both logs out-
log 64/log 16 = 1.5
Simplify-
x = x+4(1.5)
1.5x + 6 = x
Remove 1.5-
1 - 1.5 = -.5x
Simplify-
-.5x = 6
Divide both sides-
6/-.5x = -12
Hence, the answer would be -12
I really dont understand what the W means... But i can definately tell you this: I am a former rythmic gymnast who trained for 5 years, and in gym, i am always first place. True facts
