Answer:
y=5x-26
Step-by-step explanation:
y+6=5(x-4)
-> y+6=5x-20
-> y=5x-20-6
therefore, y=5x-26
Answer/Step-by-step explanation:
1. The figure is composed of a triangle and a rectangle.
Area of the triangle = ½*base*height
base = 4 ft
height = 12 - 8 = 4ft
Area of triangle = ½*4*4 = 8 ft²
Area of rectangle = length * width
Length = 8 ft
Width = 4 ft
Area of rectangle = 8*4 = 32 ft²
✔️Area of the figure = 8 + 32 = 40 ft²
2. The figure is composed of a semicircle and a triangle
Area of the semicircle = ½(πr²)
radius (r) = 3 cm
π = 3
Area = ½(3*3²) = 13.5 cm²
Area of triangle = ½*base*height
base = 3*2 = 6 cm
height = 6 cm
Area = ½*6*6 = 6 cm²
✔️Area of the figure = 13.5 + 6 = 19.5 cm²
Answer:
32
Step-by-step explanation:
Linear pair means they form a line, or add to 180°.
2x − 5 + 4x − 7 = 180
6x − 12 = 180
6x = 192
x = 32
<h3>
Answer: Choice A) 29.5 </h3>
This value is approximate.
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Work Shown:
First we need to find angle C
A+B+C = 180
46+73+C = 180
119+C = 180
C = 180 - 119
C = 61
This is not the final answer, so answer choice B is likely a trick/trap answer.
We'll use this angle value to help find side c. Use the law of sines
c/sin(C) = b/sin(B)
c/sin(61) = (32.3)/sin(73)
c = sin(61)*(32.3)/sin(73)
c = 29.5410185554849 which is approximate
c = 29.5 which points us to choice A as the final answer.
