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sleet_krkn [62]
4 years ago
15

The points A, B, C, and D are plotted on a line, consecutively. AB = BC = CD = 6 cm. Find the distance between M and N, which ar

e the midpoints of segments
AB

and

CD

, respectively. Fill in the blanks of the Statement/Reason solution.


Statement Reason

1. AM = BM = AB 2 =_____ cm 1. ____________________

2. CN = _____ = CD 2 = _____ cm 2. Def. of midpoint

3. MN = MB + ______ + CN 3. ____________________

4. MN = ________ cm 4. Algebra
Mathematics
1 answer:
Tom [10]4 years ago
7 0

Answer:

Step-by-step explanation:

If M is the midpoint of AB, then AM = MB

Also AM+MB = AB

MB+MB = AB

2MB = AB

2MB = 6

MB = 6/2

MB = 3 cm

Also

If M is the midpoint of CD, then CN = DN and CN+DN = CD

CN+CN= CD

2CN = CD

2CN = 6

CN = 6/2

CN = 3 cm

Note that MN = MB + BC + CN

Substitute the given data

MN = 3cm + 6cm+3cm

MN = 12cm

Therefore the distance between M and N is 12cm

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The formula for the area of a triangle is . What is the length of the base, b, of a triangle with an area, A, of 110 m2 and a he
vodka [1.7K]

Answer:

b = 22 m

Step-by-step explanation:

The formula for calculating the area (A) of a triangle is

A = \frac{1}{2} bh

multiply both sides by 2 to eliminate the fraction

2A = bh ( divide both sides by h )

b = \frac{2A}{h}, hence

b = \frac{2(110)}{10} = \frac{220}{10} = 22 m


7 0
3 years ago
Is negative 4.55 irrational?
WARRIOR [948]

Answer:

no

Step-by-step explanation:

it can be made into a fraction

4 0
3 years ago
Can some one help me please
Kryger [21]

Answer:

yes with what?

5 0
3 years ago
Se distribuyen 400 bolsas en tres urnas sabiendo que la primera tiene 80 menos que la segunda y esta tiene 60 menos que la terce
laiz [17]

Answer:

Primeras urnas = 60 bolsas

Segundas urnas = 140 bolsas

Terceras urnas = 200 bolsas

Step-by-step explanation:

Deje que las urnas se representen de la siguiente manera

Primeras urnas = a

Segundas urnas = b

Terceras urnas = c

Se nos dice en la pregunta

400 bolsas se distribuyen en tres urnas

Por lo tanto,

a + b + c = 400 bolsas ......... Ecuación 1

Por la pregunta sabemos que

1) El primero tiene 80 menos que el segundo

a = b - 80

2) Y este segundo tiene 60 menos que el tercero

b = c - 60

Por tanto, c = b + 60

Por lo tanto, sustituimos b - 80 por ayb + 60 por c en la Ecuación 1

a + b + c = 400 bolsas ......... Ecuación 1

b - 80 + b + b + 60 = 400 bolsas

Recopilar términos similares

b + b + b - 80 + 60 = 400 bolsas

3b = 400 + 80 - 60

3b = 420

b = 420/3

b = 140 bolsas

Por lo tanto, el número de bolsas en la segunda urna = 140 bolsas

Dado que a = b - 80

a = 140 bolsas - 80

a = 60 bolsas

Por lo tanto, el número de bolsas en la primera urna = 60 bolsas

Dado que c = b + 60

b = 140 bolsas

c = 140 + 60

c = 200 bolsas.

El número de bolsas en las terceras urnas = 200 bolsas.

4 0
3 years ago
The point P has coordinates (-2,6).The point M has coordinates (5,6)
nekit [7.7K]
Find the gradient/slope
6-6/5-(-2) deltaY/deltaX
=0 shows its a straight line
Delta X = 7
Distance between P & M = 7 units
If M is the midpoint then Q is 7*2 units
Away from P (14 units away)
-2 + 14 units = 12 x-coordinate
Hence the coordinates of Q
= (12,6)

FINAL ANSWER:
Coordinates of Q (12,6)
8 0
3 years ago
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