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igomit [66]
2 years ago
12

Fill the missing boxes and how do you know? Triangle Mid segment Theorem

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
7 0

9514 1404 393

Answer:

  • 1
  • 2√2
  • 4√2
  • 2√2
  • 4√2

Step-by-step explanation:

The differences of coordinates are ...

  E-D = (-2, 0) -(-4, -2) = (-2+4, 0+2) = (2, 2)

The slope is the ratio of the y-difference to the x-difference:

  slope of DE = ∆y/∆x = 2/2 = 1

The length is the root of the sum of the squares of those differences:

  length of DE = √(2² +2²) = √8 = 2√2

__

Similarly, the slope of CB is found from ...

  B -C = (1, -2) -(-3, -6) = (1+3, -2+6) = (4, 4)

  slope = 4/4 = 1

And the length is ...

  length of CB = √(4² +4²) = 4√2

__

Because the slopes of DE and CB are both 1, DE ║ CB.

DE = 2√2 and CB = 4√2.

Because 2√2 = (1/2)·4√2, DE = 1/2·CB.

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Can someone please help with #16
ollegr [7]

Answer:

∠ WZX = 50°

XW is not an altitude.

Step-by-step explanation:

16. See the attached figure.

XW is the angle bisector of ∠ YXZ, hence, ∠ WXY = ∠ WXZ

Now, given that ∠ YXZ = 8x + 34 and ∠ WXY = 10x - 13

Hence, ∠ YXZ = 2 ∠ WXY

⇒ 8x + 34 = 2(10x - 13)

⇒ 8x + 34 = 20x - 26

⇒ 12x = 60

⇒ x = 5.

Hence, ∠ XZY = ∠ WZX = 10x = 50° (Answer)

Now, ∠ WXZ = ∠ WXY = 10x - 13 = 37°

Hence, from Δ WXZ,

∠ WZX + ∠ WXZ + ∠ XWZ = 180°

⇒ 50° + 37° + ∠ XWZ = 180°

⇒ ∠ XWZ = 93° ≠ 90°

Hence, XW is not an altitude. (Answer)

6 0
3 years ago
Select the graph that represents h=-16t2+80
hichkok12 [17]
I cant see it is blury try to take another picture
3 0
2 years ago
Why is it important to develop and maintain a balance budget​
kap26 [50]

Answer:

Maintaining a balanced budget ensures monthly obligations are met, with room for savings.With stable cash flow,monthly surpluses can be reserved in an emergency,xontingency fund, standing ready to bail you out of times of financial distress

4 0
3 years ago
You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of
UNO [17]
X = 4(180 - x)
x = 720 - 4x
4x + x = 720
5x = 720
x = 720/5
x = 144

180 - x =
180 - 144 =
36

the measure of the angle is 144...the measure of its supplement is 36
4 0
3 years ago
Which number is irrational? <br> A: √9<br> B: √8<br> C: 0.3333<br> D: 2/3<br><br> Answer fast please
Arisa [49]

\sqrt{8} is an irrational number ⇒ answer B

Step-by-step explanation:

Let us explain the meaning of:

  • A rational number is a number that can be written as a fraction
  • An irrational number is a number that cannot be expressed as a fraction

Examples:

Rational numbers : 10 , \frac{2}{5} , 0.333

Irrational numbers : π , √8 , ∛25 , (2 + √5) , \frac{\sqrt{7}}{3}

∵ \sqrt{9}=3

∵ 3 is a rational number

∴ \sqrt{9} is a rational number

∵ \sqrt{8}

∵ There is no square root of 8

∴ \sqrt{8} is an irrational number

∵ 0.3333 can be expressed as \frac{3333}{10000}

∴ 0.3333 is a rational number

∵ \frac{2}{3} is a fraction

∵ All fractions are rational numbers

∴ \frac{2}{3} is a rational number

\sqrt{8} is an irrational number

Learn more:

You can learn more about real numbers in brainly.com/question/4853862

#LearnwithBrainly

5 0
3 years ago
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