All categories

3 years ago

Suppose M is the midpoint of FG. Find the missing measure. FM=12x−4, MG=5x+10

Mathematics

2 answers:

Paha777 [63]3 years ago

6 0

Answer:

$\overline{FM}=20$

$\overline{MG}=20$

Therefore,

$\overline{FG}=40$

Step-by-step explanation:

Once M is the midpoint of FG, we conclude that

FM is half of FG and MG is half of FC and hence, FM = MG.

Given:

$\overline{FM}=12x-4$

$\overline{MG}=5x+10$

$\overline{FM} = \overline{MG} \implies 12x-4 = 5x+10 \implies 7x=14 \implies \boxed{x = 2}$

So,

$\overline{FM}=12x-4 = 12(2)-4=24-4=20$

$\overline{MG}=5x+10 = 5(2)+10 = 10+10 =20$

Dmitrij [34]3 years ago

5 0

Answer:

FG = 17x - 6

Step-by-step explanation:

FG = 12x + 5x + 10 - 4

You might be interested in

What does x+x+x+x+x-1+1+1+1= ?<br><br> (Giving this for 30 points)

77julia77 [94]

First, let's add all the x's.

x + x + x + x + x = 5x

5x - 1 + 1 + 1 + 1

Now, let's add together all the 1's that are being added (not the 1 that is being subtracted from 5x).

1 + 1 + 1 = 3

5x - 1 + 3

3 - 1 = 2

5x + 2

There's no way you can actually solve this unless you know the value of x; without x's value, this is as simplified as the expression is going to get.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Which option correctly represents the graph of f(x) = 1/3x^2+2 and describes

bagirrra123 [75]

The function is even

7 0

3 years ago

Determine which of the following formulas hold for all invertible n×n matrices A and B.

garik1379 [7]

Answer:

1 hold

2 hold

3 does not hold

4 hold

5 hold

6 hold

7 does not hold

8 does not hold

9 Does not hold

10 Hold

Step-by-step explanation:

The detailed step by step verification is as shown in the attachment

4 0

3 years ago

What is 7 +2 = x-4/2

madam [21]

Answer:

The answer is 11.

Step-by-step explanation:

We will use PEMDAS in this situation.

7 + 2 = x - 4 / 2

7 + 2 = x - 2 [divide first

9 = x - 2 [add the 7 and 2]

+2 +2 [the 2 cancels out]

11 = x

Your answer is 11.

I hope this helped!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

7 0

3 years ago

Hi, the answer is K but can anyone show why

dlinn [17]

Let's do 51 and 52.

51. The contrapositive has the same truth value as the original statement. That's opposed to the converse, which may or may not be true independent of the original statement.

The contrapositive of IF P THEN Q is IF not Q THEN not P. They're equivalent. Here that's If the cat is not female then it is not tricolor.

Answer: C

52.

$(x^3)^{(4-b^2)}=1$

$x^{3(4-b^2)} = 1$

For the statement to be true, the exponent must be zero:

$3(4-b^2) = 0$

$b^2 = 4$

$b = \pm 2$

Both positive 2 and negative 2 have a square of 4.

Answer: K

By the way, usually we assume $0^0=1$ so the restriction that $x \ne 0$ isn't really necessary. Think of the definition of a polynomial or the binomial expansion:

$\displaystyle f(x)=\sum_{k=0}^n a_k x^k$

$\displaystyle(x+y)^n=\sum_{k=0}^n {n \choose k} x^{k}y^{n-k}$

For these common equalities to work when $x=0$ we need to define $0^0=1$

3 0

3 years ago