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Serga [27]
3 years ago
11

M and N are equilateral triangles. The scale factor of M to N is 8 : 4.1 and the area of triangle M is 320 square inche. find th

e area of triangle N
Mathematics
2 answers:
Lesechka [4]3 years ago
7 0

Answer:

84.05 square inches

Step-by-step explanation:

Given;

Area of N = 320×(4.1/8)^2 = 84.05 square inches

Sunny_sXe [5.5K]3 years ago
3 0

Answer:

84.05 square inches

Step-by-step explanation:

Given;

Area of M = 320 square inches

Scale factor of M to N = 8 : 4.1

Since M and N are equilateral, it means all 3 sides in triangle M are equal and all 3 sides in triangle N are equal

To find the area of triangle N, we have:

N = 320 * (\frac{4.1}{8})^2

= 84.05 square inches

Therefore area of triangle N =

84.05 square inches

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4 Consider the triangle below.
Maurinko [17]
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

6 0
3 years ago
3x + 7 - x = 21 x =
frosja888 [35]

Answer:

x=7/19

Step-by-step explanation:

R u looking for the value of x???

If so happy I could help if not elaborate in the comments

5 0
3 years ago
Stu counted the lines of a page in his book. Counting by three gave a remainder of 2, counting by fives also gave a remainder of
nirvana33 [79]
47 

6*7=42
15*3=45
9*5=45
6 0
3 years ago
Mr. Adams asked two random groups of 20 students each how many minutes they spent playing video games last night. The interquart
satela [25.4K]

Answer:

I think its  

Step-by-step explanation:

I think its a because the IQR is the third quartile minus the first quartile (third-first=IQR)(the first is the middle number between the minimum and median and the third quartile is the middle number between the median and the maximum)so anyway it just makes sense that the answer would be B

7 0
2 years ago
Read 2 more answers
Determine the next step for solving the quadratic equation by completing the square.
Studentka2010 [4]

Answer:

The solutions are x=\frac{1+\sqrt{7}}{2} and x=\frac{1-\sqrt{7}}{2}

Step-by-step explanation:

we have

0=-2x^{2}+2x+3

Group terms that contain the same variable, and move the constant to the opposite side of the equation

-3=-2x^{2}+2x

Factor the leading coefficient

-3=-2(x^{2}-x)

Complete the square. Remember to balance the equation by adding the same constants to each side.

-3-0.5=-2(x^{2}-x+0.5^{2})

-3.5=-2(x^{2}-x+0.5^{2})

Rewrite as perfect squares

-3.5=-2(x-0.5)^{2}

7/4=(x-0.5)^{2}

square root both sides

x-0.5=(+/-)\sqrt{\frac{7}{4}}

x-\frac{1}{2}=(+/-)\frac{\sqrt{7}}{2}

x=\frac{1}{2}(+/-)\frac{\sqrt{7}}{2}

x=\frac{1+\sqrt{7}}{2}

x=\frac{1-\sqrt{7}}{2}

4 0
3 years ago
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