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3 years ago

Line segment TV is a midsegment of ∆QRS. What is the value of n in the triangle pictured?

Mathematics

1 answer:

Elis [28]3 years ago

4 0

Answer:

D. 3.2

Step-by-step explanation:

Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.

Based on this theorem, we have: TV = ½(RS)

TV = 3n - 2

RS = n + 12

Substitute

3n - 2 = ½(n + 12)

Multiply both sides by 2

2(3n - 2) = (n + 12)

6n - 4 = n + 12

Collect like terms

6n - n = 4 + 12

5n = 16

Divide both sides by 5

5n/5 = 16/5

n = 3.2

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Complete this item.

Anika [276]

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

Adjacent angles because both a common arm and a common vertex.

Supplementary angles because sum of both angles is 180°.

Step-by-step explanation:

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3 years ago

F(x)=1/2×+6 plz helpppppppppp

FromTheMoon [43]

Answer:

The solution set can be given as:

$\{x|x\ \epsilon\ R,x\neq -3\}$

Step-by-step explanation:

Given function:

$f(x)=\frac{1}{2x+6}$

To find the domain of the function in set notation.

Solution:

For the function $f(x)$ to exist the denominator must be ≠ 0

We have the denominator $(2x+6)$ which cannot be = 0.

Thus, we can find the domain of the function using the above relation.

The function $f(x)$ will not exist when:

$2x+6=0$

Solving for $x$

Subtracting both sides by 6.

$2x+6-6=0-6$

$2x=-6$

Dividing both sides by 2.

$\frac{2x}{2}=\frac{-6}{2}$

∴ $x=-3$

Thus, the function will not exist at $x=-3$ . This means it has all real number solutions except -3.

The solution set can be given as:

$\{x|x\ \epsilon\ R,x\neq -3\}$

3 0

4 years ago

Can u guys help me plz I will give u guys 10 points

posledela

65*1.60=$104
Hope that helps

3 0

4 years ago

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Nutka1998 [239]

The factorized expression is: 2(k+5)

Step-by-step explanation:

The distributive property is used to factorize the expressions with common factors. The common factor is taken out from the expression for the purpose of simplification

Given expression is:

$2k+10$

We can see that 2 is a common factor in both terms

So,

$= 2.k + 2.5\\= 2(k+5)$

The factorized expression is: 2(k+5)

Keywords: Factorization, distributive

Learn more about polynomials at:

#LearnwithBrainly

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4 years ago

Find the equation of the line shown.

Sergeeva-Olga [200]

Answer:

y= 1x+6

Step-by-step explanation:

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3 years ago