The area of the triangle PQR is 17.6 square units.
Explanation:
Given that the sides of the triangle are PQ = 12 and PR = 3 and 
We need to determine the area of the triangle PQR
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying, we have,
Multiplying the terms, we have,
Dividing, we get,
Rounding off to the nearest tenth, we have,
Thus, the area of the triangle PQR is 17.6 square units.
Answer:
∠ABD; Alternate Interior angles are congruent
Step-by-step explanation:
Sides AB and DC are congruent and parallel.
The transversal is line BD.
So considering this things, ∠BDC and ∠ABD are congruent through alternate interior angle rule
Answer:
question 1: m = 3/2
question 2: m = 1/95
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
____________________________________
given
y = 3/2 x
comparing it with y = mx+c
we have m = 3/2 .
since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0
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slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by
slope = (x2-x1)/y2-y1)
From the given table lets take two point as (2,190) and(4,380)
Thus, slope m is given by
m = (4-2)/(380-190) = 2/190 = 1/95
m = 1/95
Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given
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Answer:
<em>I</em>(-1,3)
Step-by-step explanation:
Moving 3 units left adds -3 to x value
Moving 6 units up adds 6 to the y value
2 - 3 = -1
-3 + 6 = 3
(-1,3)
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-Chetan K
4.5x + 1.5y = 24 ⇒ 4.5x + 1.5y = 24
1.0x - 1.0y = 4 ⇒<u> 4.5x - 4.5y = 18</u>
<u>6y</u> = <u>6</u>
6 6
y = 1
4.5x + 1.5(1) = 24
4.5x + 1.5 = 24
<u> - 1.5 - 1.5</u>
<u>4.5x</u> = <u>22.5</u>
4.5 4.5
x = 5
(x, y) = (5, 1)
