3. a. Using a ruler and a pair of compasses only, construct: i. Triangle ABC such that all -5cm, l'acl =7.5cm and ZCAB = 120° ii. The locus I, of points equidistant from A and B iii. Locus I, of points equidistant from A and C b. Locate the point of intersection D, of I, and 12. Draw a circle to pass through points ABC 4. a. In the diagram below, IABI=25cm and ZABC = 90°. The area of triangle ABC is 120cm. Calculate the length of BC. A 25cm C С​

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step-by-step explanation:

the probability that a bird is green (.30) is true

step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

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