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stealth61 [152]
2 years ago
5

Find the midpoint M of the line segment joining the points S = (-4,-2) and T = (6, -8).

Mathematics
1 answer:
Alina [70]2 years ago
8 0

We have that The midpoint M of the line segment joining the points

  • S = (-4,-2)
  • T = (6, -8)

is

M=(-3,-1)

From the question we are told

Find the midpoint M of the line segment joining the points

  • S = (-4,-2)
  • T = (6, -8

Generally the equation for the midpoint is   is mathematically given as

M=\sqrt{\frac{x1+x2}{2},(y1+y2)^2}\\\\M=\frac{-4+-2}{2},\frac{(6+-8)}{2}}

M=(-3,-1)

Therefore

The midpoint M of the line segment joining the points

  • S = (-4,-2)
  • T = (6, -8)

is

M=(-3,-1)

For more information on this visit

brainly.com/question/23366835

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Ostrovityanka [42]
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8 0
3 years ago
Euleuy VI, Ulalla PUSIUI 407220)
Artyom0805 [142]

Answer:

Using the Angle Addition Postulate, 20 + m∠DBC = 80. So, m∠DBC = 60° using the subtraction property of equality.

Step-by-step explanation:

If point D is the interior of angle ABC, then the angle addition postulate theory states that the sum of angle ABD and angle DBC is equals to angle ABC. The angle addition postulate is used to measure the resulting angle from two angles placed side by side.

From the attached image, ∠ABD and ∠DBC are placed side by side to form ∠ABC. Given that m∠ABD = 20° and m∠ABC = 80°

Hence, using angle addition postulate:

m∠ABD + m∠DBC = m∠ABC

20 + m∠DBC = 80

subtracting 20 from both sides (subtraction property of equality)

m∠DBC = 80 - 20

m∠DBC = 60°

3 0
3 years ago
Simplify sin^2y/sec^2 y−1 to a single trigonometric function
liubo4ka [24]

Answer:

\frac{ { \sin}^{2} y}{ { \sec}^{2}y - 1 }  =  { \cos }^{2} y

Step-by-step explanation:

We know that { \tan }^{2} y =  { \sec }^{2} y - 1

Also , { \tan}^{2} y =   \frac{ { \sin }^{2} y}{ { \cos }^{2}y }

So ,

\frac{ { \sin }^{2}y }{ { \sec }^{2}y - 1 }  =  \frac{ { \sin}^{2} y}{ { \tan }^{2} y}  =  \frac{ { \sin }^{2}y }{ \frac{ { \sin}^{2} y}{ { \cos}^{2}y } }  =  { \cos }^{2} y

6 0
3 years ago
NO SCAM. PLEASE SHOW WORK. WILL GIVE BRAINLY TO CORRECT ANSWER.
sergeinik [125]

Answer:

140

Step-by-step explanation:

A regular polygon is a shape with equal sides and angles. Because of this, we can write the following equation to set two sides equal to each other:

3a+b+3=2a+2b+6

Solving, we will get a in terms of b:

3a=2a+b+3,\\a=b+3

Now we can substitute a for (b+3) into our equation:

5a-2b+1=2a+2b+6,\\5(b+3)-2b+1=2(b+3)+2b+6,\\3b+16=4b+12,\\-b=-4,\\b=\boxed{4}

Therefore, the length of each side of this polygon is 5(4+3)-2(4)+1=28.

Since the perimeter of the polygon consists of all five sides, the perimeter is:

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6 0
3 years ago
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Can someone please help me with this question
Cerrena [4.2K]

Answer:

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Step-by-step explanation:

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