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3 years ago

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

Mathematics

1 answer:

Morgarella [4.7K]3 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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Help me plzzzzzzzzzzzz

erma4kov [3.2K]

Answer:

9) 21

10) 70

11) 34

12) 31

13) 50

14) 31

15) 137

16) 101

Step-by-step explanation:

20+40=60

60 + b =180 ( sum of the interior angles on a triangle is 180 )

b = 180 - 60

b = 120

39 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =120 ( vertically opposite angles are equal )

39 + 120 + ? = 180

159 + ? = 180

? = 180 - 159

? = 21

________________________________________________________________________________________

10)

60 + 65 + b = 180 ( sum of the interior angles on a triangle is 180 )

125 + b = 180

b = 180 - 125

b = 55

50 + b + c = 180 ( sum of the angels on a straight line is 180 )

50 + 55 + c = 180

105 + c = 180

c = 180 - 105

c = 75

35 + c + ? = 180

35 + 75 + ? = 180

110 + ? = 180

? = 180 - 110

? = 70

________________________________________________________________________________________

11)

84 + 36 + b = 180 ( sum of the interior angles on a triangle is 180 )

120 + b = 180

b = 180 - 120

b = 60

86 + b + ? = 180 ( sum of the interior angles on a triangle is 180 )

86 + 60 + ? = 180

146 + ? = 180

? = 180 - 146

? = 34

________________________________________________________________________________________

12)

35 + 23 + b = 180 ( sum of the interior angles on a triangle is 180 )

58 + b = 180

b = 180 - 58

b = 122

27 + c + ? = 180 ( sum of the interior angles on a triangle is 180 ) c =122 ( vertically opposite angles are equal )

27 + 122 + ? = 180

149 + ? = 180

? = 180 - 149

? =31

________________________________________________________________________________________

13)

115 + b = 180 ( sum of the angels on a straight line is 180 )

b = 180 - 115

b = 65

65 + 90 + c = 180 ( sum of the angels on a straight line is 180 )

155 + c = 180

c = 180 - 155

c = 25

155 + d = 180 ( sum of the angels on a straight line is 180 )

d = 180 - 155

d = 25

c + d + e = 180 ( sum of the interior angles on a triangle is 180 )

25 + 25 + e = 180

50 + e = 180

e = 180 - 50

e = 130

e + ? = 180 ( sum of the angels on a straight line is 180 )

130 + ? = 180

? = 180 - 130

? = 50

________________________________________________________________________________________

14)

35 + 20 + b = 180 ( sum of the interior angles on a triangle is 180 )

55 + b = 180

b = 180 - 55

b = 125

156 + c = 180 ( sum of the angels on a straight line is 180 )

c = 180 - 156

c = 24

c + e + ? = 180 ( sum of the interior angles on a triangle is 180 ) e= 125 ( vertically opposite angles are equal )

24 + 125 + ? = 180

149 + ? = 180

? = 180 - 149

? = 31

________________________________________________________________________________________

15)

b = 45 ( vertically opposite angles are equal )

b + 60 + c = 180 ( sum of the interior angles on a triangle is 180 )

45 + 60 + c = 180

105 + c = 180

c = 180 - 105

c = 75

68 + 75 + e = 180 ( sum of the angels on a straight line is 180 )

143 + e = 180

e = 180 - 143

e = 37

100 + 37 + j = 180 ( sum of the interior angles on a triangle is 180 )

137 + j = 180

j = 180 - 137

j = 43

j + ? = 180 ( sum of the angels on a straight line is 180 )

43 + ? = 180

? = 180 - 43

? = 137

________________________________________________________________________________________

16)

b = 75 ( vertically opposite angles are equal )

c = 45 ( vertically opposite angles are equal )

b + c + e = 180 ( sum of the interior angles on a triangle is 180 )

75 + 45 + e = 180

120 + e = 180

e = 180 - 120

e = 60

e + 79 + j = 180 ( sum of the angels on a straight line is 180 )

60 + 79 + j = 180

139 + j = 180

j = 180 - 139

j = 41

j + 60 + s = 180 ( sum of the interior angles on a triangle is 180 )

41 + 60 + s = 180

101 + s = 180

s = 180 - 101

s = 79

s + ? = 180 ( sum of the angels on a straight line is 180 )

79 + ? = 180

? = 180 - 79

? = 101

________________________________________________________________________________________

hope this helps☆☆☆

it took soooo long to do btw ⊙•⊙

4 0

3 years ago

Write a function (equation) that can be used to find the relationship between x and y.

Andreas93 [3]

I think it would be y = -3x +2

8 0

3 years ago

Read 2 more answers

What is 61,090,000 expressed in scientific notation?

RUDIKE [14]

The correct answer is 6.109 x 107

If I’m not mistaking

6 0

3 years ago

Read 2 more answers

Find the minimum or maximum value of the function g(x)= -(x-2)^2-3

Nady [450]

Neato

assuming you mean
$g(x)=-1(x-2)^2-3$
remember
in form
$f(x)=a(x-h)^2+k$
a is leading coficient
(h,k) is vertex
k will be the minimum or max value of the function
if a is positive, then the parabola opens up and k is minimum
if a is negative, then the parabola opens down and k is max

given
$g(x)=-1(x-2)^2-3$
a is negative
the parabola opens down and k is the max value
it is -3
the max value is -3, which occors at x=2
g(2)=-3 is max

3 0

4 years ago

1. A circle with center (-5, 2) is tangent to the y-axis. What is the radius of the circle? What is the equation of the circle?

Bess [88]

Answer:

Step-by-step explanation:

1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.

2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given

(x - 4)^2 + (y + 3)^2 = 6^2

we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.

3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is

(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).

4 0

3 years ago