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Genrish500 [490]
3 years ago
7

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in. Find the distance between the midpoints of segmen

ts AB and CD . Answer: Distance between midpoints is in
Mathematics
1 answer:
solmaris [256]3 years ago
7 0

Answer: 12 inches

Step-by-step explanation:

Given that :

Points A, B, C, and D lie on a line consecutively so that AB = BC = CD = 6 in

Therefore, A, B, C and D lie on a line which has a distance of 6 inches between each consecutive point.

A could be taken as the starting point with and D taken the end of the line with B and C in between them.

For instance:

A = 6; B = 12 ; C = 18 ; D = 24

Midpoint of AB = (12 + 6) / 2 = 18/2 = 9

Midpoint of CD = (18 + 24) / 2 = 42/2 = 21

Distance between the Midpoint AB and CD equals:

Midpoint CD - Midpoint AB

(21 - 9) inches = 12 inches

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Question 7 (1 point)<br> Solve: 8x = 56
Hunter-Best [27]

Answer:

x = 7

Step-by-step explanation:

8x = 56

To solve this, we must simplify. To do this, we must divide each side by 8. This, in term, will give us the value of x.

8x = 56

----    ----

8       8

56/8 = 7

x = 7

Our answer is x = 7

5 0
3 years ago
Please help me on this question?!!!!!!!!
Gnesinka [82]

Answer: 10, 1/10, 2/5

Step-by-step explanation:

4 0
3 years ago
Number 1 and 2 please (25 points)
Elenna [48]

Answers:

1) (3x+2)+(4-5x)=-2x+6

(3+2i)+(4-5i)=7-3i

2) (1-3x)(2+x)=-3x^{2}-5x+2

(1-3i)+(2+i)=5-5i

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example,  the addition of these two binomials is:

(3x+2)+(4-5x)=3x-5x+2+4=-2x+6

Similarly, the addition of two complex numbers is:

(3+2i)+(4-5i)=3+4+2i-5i=7-3i Here the complex part is the number with the i

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that i^{2}=-1.

For example,  the multiplication of these two binomials is:

(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2

Similarly, the multiplication of two complex numbers is:

(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i

8 0
3 years ago
Please help me i need this answer asap ​
xxTIMURxx [149]

Answer:

No

Step-by-step explanation:

d = (x_2 - x_1)^2 + (y_2-y_1)^2

If any two points on  both triangles have the same measure then they are congruent.

41

52

3 0
3 years ago
Explain how you can prove that 3 weeks is less than 24 days
kirill [66]
There are 7 days in a week. If you add 7 three times, you get 21, which means that three weeks equals 21 days, which is less than 24
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3 years ago
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