Answer:
○ b Corresponding Angles
Step-by-step explanation:
These two angles are a mirror,so they correspond.
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Angle 1 and angle 5 are alternate interior angles with the same measure.
Angle 1 and angle 5 are alternate interior angles formed by a transversal line intersecting two parallel lines. Alternate interior angles are equal in measure, which means that angle 1 and angle 5 have the same measure. This relationship holds true regardless of the specific measurements of angle 1 and angle 5.
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y - 5 = 2/3 ( x + 3)
That's your answer.
The equation of a line that passes through the point (5, -3) with a slope of 2/3, when expressed in point-slope form, is y + 3 = 2/3 * (x - 5).
In Mathematics, the equation of a line can be given in multiple forms, one of those is the point-slope form. The generic form of this equation is y - y1 = m(x - x1), where (x1, y1) are the coordinates of any point on the line and m represents the slope of the line.
Given the slope m = 2/3 and the point on the line (5, -3), the equation is y - (-3) = 2/3 * (x - 5). After simplifying, we have: y + 3 = 2/3 * (x - 5) as the equation of the line.
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Answer: 2
Step-by-step explanation:
Explain how you found your answer.
Answer:
Total area = 31.5 unit²
Step-by-step explanation:
Assume 1 block = 1 unit²
Divide diagram into 3 part
1. 5 by 5 block square
2. 2 by 2 block triangle(1)
2. 3 by 3 block triangle(2)
Area of square = side × side
Area of square = 5 × 5
Area of square = 25 unit²
Area of triangle(1) = [1/2][base][height]
Area of triangle(1) = [1/2][2][2]
Area of triangle(1) = 2 unit²
Area of triangle(2) = [1/2][base][height]
Area of triangle(2) = [1/2][3][3]
Area of triangle(2) = 4.5 unit²
Total area = Area of square + Area of triangle(1) +Area of triangle(2)
Total area = 25 unit² + 2 unit² + 4.5 unit²
Total area = 31.5 unit²