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2 years ago

In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}

Mathematics

1 answer:

trasher [3.6K]2 years ago

8 0

Answer:

Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.

The length of QR is 4x -11 and the length of MP is 9x - 29.

We need to determine the measure of MP.

Value of x:

The value of x can be determined using the triangle midsegment theore

Applying the theorem, we have;

Substituting the lengths, we get;

Subtracting both sides by 8x, we have;

Adding both sides of the equation by 29, we get;Thus, the value of x is 7.

Measure of MP:

The measure of MP can be determined by substituting x = 7 in the length of MP.

Thus, we have;

Thus, the measure of MP is 34.

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Novosadov [1.4K]

Answer:

x=5, y=3

Step-by-step explanation:

1) x+3y=14,4x+5y=35

2) x+3y=14

3) x=-3y+14

4) 4(-3y+14)+5y=35

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6) -7y+56=35

7) -7y=-21

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9) x=-3\times 3+14

10) x=-9+14

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finale and last : x=5,y=3 ✅

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2 years ago

A slice is made perpendicular to the base of a right rectangular prism, as shown in the figure.

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It is another rectangle

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3 years ago

If x is divided by 5 the remainder is 4. If why is divided by 5 the remainder is 1. What is the remainder when x+y is divided by

Naddik [55]

Answer:

Step-by-step explanation:

We are given the following:

$\frac{x}{5}=q_1+\frac{4}{5}$ (equ. 1)

$\frac{y}{5}=q_2+\frac{1}{5}$ (equ. 2)

We are asked:

$\frac{x+y}{5}=q_3+\frac{r}{5}$ (equ. 3) , what is $r$ ?

The $q_i$ 's represent the quotients you get.

$r$ is the remainder of dividing $x+y$ by 5.

We know that $r$ is a number in {0,1,2,3,4}.

$x=5q_1+4$ (I got this by multiplying both sides of equ 1. by 5.)

$y=5q_2+1$ (I got this by multiplying both sides of equ 2. by 5.)

Let's add these equations together:

$x+y=(5q_1+5q_2)+(4+1)$

Factoring the 5 out for the $q_i$ 's part and simplify 4+1 gives:

$x+y=5(q_1+q_2)+5$

So $5$ can't be the remainder of dividing something by 5 but see that we can factor this right hand expression more as:

$x+y=5(q_1+q_2+1)$

So $q_3=q_1+q_2+1$ while there is no remainder (the remainder is 0).

Let's do an example if you are not convinced at this point that the remainder will be 0.

So choose x=9 since 9/5 gives a remainder of 4.

And choose y=16 since 16/5 gives a remainder of 1.

x+y=9+16=25 and 25/5 gives a remainder of 0.

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2 years ago

Darwin borrows $3,000 at an

aksik [14]

Answer:

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Step-by-step explanation:

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2 years ago

What is the domain of f(x) = log2(x 3) 2?.

kobusy [5.1K]

The domain of f(x) is x > -3.

Given that

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We have to determine

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According to the question

To determine the domain of the function following all the steps given below.

The domain is defined as the set, which is to be input in a function. Or, we can say input values that satisfy a function.

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Then,

The domain of the function,

$\rm x+3 > 0\\\\x > -3$

The domain is x > -3,

Hence, the domain of f(x) is x > -3.

To know more about the Domain click the link given below.

brainly.com/question/1503067

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2 years ago