Answer:
9x
Step-by-step explanation:
)
Answer:
l = 0.13x+1025
Step-by-step explanation:
Let the monthly sales be x
Monthly income = $1025 + 13% of monthly sales
Monthly income = $1025 + 0.13x
Since l represent the monthly income
l = 1025+0.13x
Rearrange
l = 0.13x + 1025
Hence the linear equation representing the statement is l = 0.13x+1025
Applying the angle of intersecting chords theorem, the value of z is: D. 100.
<h3>What is the Angle of Intersecting Chords Theorem?</h3>
According to the angle of intersecting chords theorem, in a circle like the one shown in the image above, where two chords intersect to form vertical angles, the theorem states that the angle formed equals half of the sum of the measures of the arcs intercepted by the angles.
Applying the angle of intersecting chords theorem, let's find x first:
73 = 1/2(96 + x)
Multiply both sides by 2
2 × (73) = 1/2(96 + x) × 2
146 = 96 + x
Subtract both sides by 96
146 - 96 = 96 + x - 96
50 = x
x = 50°
Therefore:
x + z + 96 + 114 = 360° [full circle measure]
Plug in the value of x
50 + z + 96 + 114 = 360
z + 260 = 360
Subtract both sides by 260
z + 260 - 260 = 360 - 260
z = 100°
The answer is: D. 100°.
Learn more about the angle of intersecting chords theorem on:
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Area of a parallelogram = b×h
= 13.4×48.2
= 645.88 inches square
Area of rectangle = l×b
=7.3×48.2
= 351.86
Area of the figure = (b×h) + (l×b)
=645.88+351.86
= 997.74 inches square
Therefore, the answer is option C
Answer:
-3x + 31
Step-by-step explanation:
First distribute
2x + 16 -5x +15
Collect like terms
-3x + 31
