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Temka [501]
3 years ago
15

The area of is 18 ft2 and the area of is 24 ft2. If , what is the ratio of LM to FG? A. 3:4 B. 9:16 C. D. 4:3

Mathematics
2 answers:
Gelneren [198K]3 years ago
8 0
18/24 = 3/4 (divide top and bottom by 6)

answer is <span>A. 3:4</span>
Fed [463]3 years ago
8 0

Answer: The ratio of LM to FG is 3:4.

Step-by-step explanation:

Since we have given that

The are of ΔLMN = 18 sq. ft

Area of ΔFGH = 24 sq. ft

As we know the relation:

\frac{Ar.\ \Delta LMN}{Ar.\ \Delta FGH}=\frac{LM}{FG}\\\\\frac{18}{24}=\frac{LM}{FG}\\\\\frac{3}{4}=\frac{LM}{FG}

Hence, the ratio of LM to FG is 3:4.

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143 is added to twice a number and this sum is multiplied by 2, the result is the same as if the number is multiplied by 0 and 2
serious [3.7K]

Answer:

-71

Step-by-step explanation:

let 'n' = a number

2(143 + 2n) = 0n + 2

2(143 + 2n) = 2

143 + 2n = 1

2n = -142

n = -71

5 0
2 years ago
Someone please help ASAP will give brainliest
Art [367]

Answer:

y< -3/2x-2

Step-by-step explanation:

if you look at the graph, you can see the line is dotted, which means it is not equal to. eliminate a and c. the shade is toward the bottom of the y, which then you could eliminate a because b says the y value is greater than, which isn't true. you could also check it by plugging in any value for x!

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6 0
3 years ago
A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th
sergij07 [2.7K]

Answer:

(a) The mean or expected value of <em>X </em>is 2.2.

(b) The standard deviation of <em>X</em> is 1.3.

Step-by-step explanation:

Let <em>X</em> = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of <em>X</em> id provided.

The formula to compute the mean or expected value of <em>X </em>is:

\mu=E(X)=\sum x.P(X=x)

The formula to compute the standard deviation of <em>X </em>is:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}

The formula of E (X²) is:

E(X^{2})=\sum x^{2}.P(X=x)

(a)

Compute the expected value of <em>X</em> as follows:

E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2

Thus, the mean or expected value of <em>X </em>is 2.2.

(b)

Compute the value of E (X²) as follows:

E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58

Compute the standard deviation of <em>X</em> as follows:

\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3

Thus, the standard deviation of <em>X</em> is 1.3.

4 0
3 years ago
Read 2 more answers
If B is the midpoint of AC, and AC= 8x-20, find BC.
Semmy [17]

Answer:

BC = 4x-10

Step-by-step explanation:

\because B is the midpoint of AC.

\therefore BC = \frac{1}{2} AC

\therefore BC = \frac{1}{2} (8x-20)

\therefore BC = \frac{1}{2} \times 2(4x-10)

\huge \purple {\boxed {\therefore BC = 4x-10}}

5 0
2 years ago
What is the length of the missing leg
Shtirlitz [24]

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

7 0
3 years ago
Read 2 more answers
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