Answer:
The value of x is 1.5
Step-by-step explanation:
<em>In similar figures, corresponding sides have the same ratio</em>
In the given figure
∵ There are 2 similar polygons
∴ We must write their names with corresponding angles
∵ ∠A = ∠L, ∠B = ∠M, ∠C = ∠N, ∠D = ∠P
∴ Their names are ABCD and LMNP
→ By using the rule above
∴ Their corresponding sides have the same ratio
∴ =
∵ AB = 14 and LM = x + 9
∵ BC = 10 and MN = x + 6
→ Substitute them in the ratio up
∴ =
→ By using the cross multiplication
∵ 14 × (x + 6) = 10 × (x + 9)
∴ 14(x) + 14(6) = 10(x) + 10(9)
∴ 14x + 84 = 10x + 90
→ Subtract 10x from both sides
∵ 14x - 10x + 84 = 10x - 10x + 90
∴ 4x + 84 = 90
→ Subtract both sides by 84
∵ 4x + 84 - 84 = 90 - 84
∴ 4x = 6
→ Divide both sides by 4 to find x
∴ x = 1.5
∴ The value of x is 1.5
Answer:
Equation of line in slope-intercept form that passes through (4, -8) and is perpendicular to the graph is below
Step-by-step explanation:
Slope of the equation is
Since slopes of perpendicular lines are negative reciprocal of each other, therefore slope of other line is given as
Equation of line in point slope form is given as
Here (x1, y1) = (4, -8)
Simplifying it further
Answer:
A) True
B) True
C) False
Step-by-step explanation:
Knowing that the collinear points are all those that pass through a line, we have:
A) given two points they form a line, by themselves they are collinear (graph 1)
B) Can be or not can be (graph 2)
C) Can be not must be (graph 3)
