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3 years ago

Write equations for three lines that intersect to form a triangle

1 answer:

7 0

1.
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.

2.

2 lines are parallel only if their slopes are equal.

3.

if the equation of a line l is given in the form y=mx+t, then m, the coefficient of x, is the slope of that line.

4.

so given lines a, b, c with equations:

$a: y=m_1x+t\\\\b: y=m_2x+u\\\\c: y=m_3x+v$

if $m_1 \neq m_2 \neq m_3$ , then the lines intersect, forming thus a triangle.

5.

let the 3 lines be:

$a: y=2x+5\\\\b: y=-4x+13\\\\c: y=x+7$

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Find the measure of each angle.

Galina-37 [17]

Given:

Given that the isosceles trapezoid JKLM.

The measure of ∠K is 118°

We need to determine the measure of each angle.

Measure of ∠L:

By the property of isosceles trapezoid, we have;

$\angle K+\angle L=180^{\circ}$

$118^{\circ}+\angle L=180^{\circ}$

$\angle L=62^{\circ}$

Thus, the measure of ∠L is 62°

Measure of ∠M:

By the property of isosceles trapezoid, we have;

$\angle L \cong \angle M$

Substituting the value, we get;

$62^{\circ}=\angle M$

Thus, the measure of ∠M is 62°

Measure of ∠J:

By the property of isosceles trapezoid, we have;

$\angle J \cong \angle K$

Substituting the value, we get;

$\angle J =118^{\circ}$

Thus, the measure of ∠J is 118°

Hence, the measures of each angles of the isosceles trapezoid are ∠K = 118°, ∠L = 62°, ∠M = 62° and ∠J = 118°

4 0

3 years ago

The scale on a drawing is 1 mm = 3 m. How many meters does 2 centimeters represent?

suter [353]

There are 10 millimeters in 1 centimeter. from that, we can calculate that one centimeter is equivalent to 30 meters. We are trying to find how many meters are in two centimeters so we multiply 30 meters by 2 and get the final answer of 60 meters.

2 Centimeters = 60 Meters

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Have a Great Day :)

3 0

3 years ago

Answer true and false please thanks

Aleksandr [31]

Option a is true and others are false

6 0

3 years ago

Rewrite the equation below so that it does not have fractions.

bearhunter [10]

Answer:

$60+10x=6$