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Elena L [17]
1 year ago
15

Put points A, B, C, and D on a line consecutively, so that AB = BC = CD = 6 in. Find the distance between points M and N, the mi

dpoints of segments AB and CD respectively.

Mathematics
2 answers:
katrin [286]1 year ago
8 0
AD = 6·3 = 18 in.
AM = AB/2 = 6/2 = 3 in.
DN = CD/2 = 6/2 = 3in.
MN = AD - (AM+DN) = 18 - (3+3) = 12 in.

Alex Ar [27]1 year ago
3 0
The entire answer would come out to being =12
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A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative
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Step-by-step explanation:

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Two triangles are similar with a scale factor of 3. The preimage triangle has a base of 7 inches and a height of 10 inches. What
vaieri [72.5K]

Answer:

<u>The area of the larger triangle is 315 inches²</u>

Step-by-step explanation:

1. Let's review all the information provided for answering the questions properly:

Pre-image triangle has a base of 7 inches and a height of 10 inches

Scale used : Factor of 3

2. What is the area of the larger triangle??

For calculating the area of the larger triangle, we use the scale this way:

Base = 7 inches * 3

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Height = 10 inches * 3

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Area of the larger triangle = 1/2 (Base * Height)

Area of the larger triangle = 1/2 (21 * 30)

<u>Area of the larger triangle = 630/2 = 315 inches²</u>

6 0
1 year ago
Solve 4/x-4=x/x-4-4/3 for x and determine if the solution is extraneous or not
4vir4ik [10]

<u>Answer:</u>

x = 4 (extraneous solution)

<u>Step-by-step explanation:</u>

\frac { 4 } { x - 4 } = \frac { x } { x - 4 } - \frac { 4 } { 3 } \\ \frac { 4 } { x - 4 } - \frac { x } { x - 4 } = - \frac { 4 } { 3 } \\ \frac { 4 - x } { x - 4 } = - \frac { 4 } { 3 } \\ 3 ( 4 - x ) = - 4 ( x - 4 ) \\ 1 2 - 3 x = - 4 x + 1 6 \\ 4 x - 3 x = 1 6 - 1 2 \\ x = 4 \\

This solution is extraneous. Reason being that even if it can be solved algebraically, it is still not a valid solution because if we substitute back x=4, we will get two fractions with zero denominator which would be undefined.

7 0
1 year ago
What is the value of n in the equation –negative StartFraction one-half EndFraction left-parenthesis 2 n plus 4 right-parenthesi
fgiga [73]

Answer:

Solution to equation: n = 1

Step-by-step explanation:

We are given the following equation:

-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)

We have to solve the equation to find the value of n.

Solving the equation, we get,

-\dfrac{1}{2}(2n + 4) + 6 = -9 + 4(2n + 1)\\\\-\dfrac{1}{2}(2n + 4)-4(2n+1) = -9-6\\\\-n-2-8n-4 = -15\\\Rightarrow -9n = -15 + 6\\\Rightarrow -9n = -9\\\Rightarrow n = 1

Thus, value of n is 1.

4 0
2 years ago
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