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3 years ago

Find the coordinates of the midpoint of line segment lb if l (8, 5) and b (-6, 2).

Mathematics

1 answer:

jeyben [28]3 years ago

3 0

Answer:

The coordinates of the midpoint of the segment is (1,3.5)

Step-by-step explanation:

In this question, we are concerned with finding the coordinates of the mid point of the line that joins segment lb

To do this, we shall be using the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Where (x1,y1) = (8,5)

(x2,y2) = (-6,2)

Thus;

(x, y) = (8 + (-6))/2, (5 + 2)/2

(x ,y) = (2/2), (7/2)

(x,y) = (1,3.5)

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The measure of an exterior angle of a regular polygon is 2x and the measure of an interior angle is 4x Find the measure of one i

kolbaska11 [484]

Answer:

Part a) The measure of an exterior angle is 60°

Part b) The measure of an interior angle is 120°

Step-by-step explanation:

step 1

Find the value of x

we know that

A regular polygon has equal sides and equal interior angles

The sum of an interior angle plus an exterior angle must be equal to 180 degrees (supplementary angles)

$2x+4x=180$

solve for x

$6x=180$

$x=30$

step 2

Find the measure of an exterior angle

substitute the value of x

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step 3

Find the measure of an interior angle

substitute the value of x

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3 years ago

Consider the Triangle Sum Theorem in relation to a right triangle. What conjecture can you make about the two acute angles of a

Anon25 [30]

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7 0

3 years ago

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

solmaris [256]

<h3>Solution</h3>

Given :-

Perimeter of rectangle = 72 cm
The length is 3 more than twice the width.

Find :-

Dimensions of rectangle

<h3 /><h3>Explantion</h3>

Using Formula

$\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}$

Let,

Length of Rectangle = x cm
Breadth of Rectangle = y cm

According to question,

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

Again,

==> x = 2y + 3

==> x - 2y = 3__________________(2)

Subtract equ(1) & equ(2)

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

keep in equ(1)

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3>Hence</h3>

Length of Rectangle = 25 cm
Width of Rectangle = 11 cm

<h3 />

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3 years ago

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Answer:

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2 years ago

Which is the constant term in the equation given in standard from 5x+3y=15

Alisiya [41]

Answer:

Step-by-step explanation:

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