All categories

2 years ago

PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!

Mathematics

2 answers:

jok3333 [9.3K]2 years ago

6 0

Answer:

x=9

Step-by-step explanation:

Given information: KM bisects ∠JKL, m∠JKL = 92, and m∠MKL = (5x+1).

It is given that KM bisects ∠JKL. It means line KM divides the angle in two equal parts.

$m\angle JKM=m\angle MKL$ .... (1)

The ∠JKL is the sum of ∠JKM and ∠MKL.

$m\angle JKM=m\angle JKM+m\angle MKL$

Using equation (1) we get

$m\angle JKM=m\angle MKL+m\angle MKL$ $m\angle JKM=m\angle MKL$

$m\angle JKM=2(m\angle MKL)$

Substitute m∠JKL = 92 and m∠MKL = (5x+1) in the above equation.

$92=2(5x+1)$

$92=2(5x)+2(1)$

$92=10x+2$

Subtract 2 from both sides.

$92-2=10x$

$90=10x$

Divide both sides by 10.

$\frac{90}{10}=x$

$9=x$

Therefore, the value of x is 9.

lorasvet [3.4K]2 years ago

5 0

Answer:

x = 9

Step-by-step explanation:

The trick here is knowing that JKM and MKL are equal, which means MKL is equal to JKL/2. From that knowledge, we can solve.

MKL = JKL/2

5x + 1 = 46

5x = 45

x = 9

You might be interested in

Geometric abstraction is a form of artwork that uses geometric forms or shapes. Some twentieth-century American artists are know

oksian1 [2.3K]

These types of pieces forces us to think about them, however, it does not matter how it’s the most important, what matters is how it makes you, yourself feel, this kind of abstract art is strictly real and gives us space to think on our own, patterns and unity in work , homogeneity and uniqueness are the most factors that defines the good paint or failure on.

3 0

2 years ago

18.) The cost of textbooks for a school increases with the average class size. Identify the independent and dependent quantity i

son4ous [18]

The independent quantity is the average class size and the dependent quantity is the cost ⇒ c

Step-by-step explanation:

Lets revise the meaning of dependent and independent variables

The dependent variable is the one that depends on the value of some other number
The dependent variable is the output value and the independent variable is the input value
Ex: if y = 2x + 3, x is the input and y is the out put, then is independent variable and y is dependent variable

∵ The cost of the textbook increases with the average class size

- The cost of the textbooks depends on the average of the

class size

∴ The input is the average class size

∴ The output is the cost of the textbooks

∵ The input variable is independent variable

∵ The output variable is dependent variable

∴ The average of the class size is independent

∴ The cost of the textbooks is dependent

The independent quantity is the average class size and the dependent quantity is the cost

Learn more:

You can learn more about the word problems in brainly.com/question/13174281

#LearnwithBrainly

8 0

2 years ago

Determine if each of the following sets is a subspace of ℙn, for an appropriate value of n. Type "yes" or "no" for each answer.

xxMikexx [17]

Answer:

1. Yes.

2. No.

3. Yes.

Step-by-step explanation:

Consider the following subsets of Pn given by

1.Let W1 be the set of all polynomials of the form $p(t)=at^2$ , where a is in ℝ.

2.Let W2 be the set of all polynomials of the form $p(t)=t^2+a$ , where a is in ℝ.

3. Let W3 be the set of all polynomials of the form $p(t)=at^2+at$ , where a is in ℝ.

Recall that given a vector space V, a subset W of V is a subspace if the following criteria hold:

- The 0 vector of V is in W.

- Given v,w in W then v+w is in W.

- Given v in W and a a real number, then av is in W.

So, for us to check if the three subsets are a subset of Pn, we must check the three criteria.

- First property:

Note that for W2, for any value of a, the polynomial we get is not the zero polynomial. Hence the first criteria is not met. Then, W2 is not a subspace of Pn.

For W1 and W3, note that if a= 0, then we have p(t) =0, so the zero polynomial is in W1 and W3.

- Second property:

W1. Consider two elements in W1, say, consider a,b different non-zero real numbers and consider the polynomials

$p_1 (t) = at^2, p_2(t)=bt^2$ .

We must check that p_1+p_2(t) is in W1.

Note that

$p_1(t)+p_2(t) = at^2+bt^2 = (a+b)t^2$

Since a+b is another real number, we have that p1(t)+p2(t) is in W1.

W3. Consider two elements in W3. Say $p_1(t) = a(t^2+t), p_2(t)= b(t^2+t)$ . Then

$p_1(t) + p_2(t) = a(t^2+t) + b(t^2+t) = (a+b) (t^2+t)$

So, again, p1(t)+p2(t) is in W3.

- Third property.

W1. Consider an element in W1 $p(t) = at^2$ and a real scalar b. Then

$bp(t) = b(at^2) = (ba)t^2)$ .

Since (ba) is another real scalar, we have that bp(t) is in W1.

W3. Consider an element in W3 $p(t) = a(t^2+t)$ and a real scalar b. Then

$bp(t) = b(a(t^2+t)) = (ba)(t^2+t)$ .

Since (ba) is another real scalar, we have that bp(t) is in W3.

After all,

W1 and W3 are subspaces of Pn for n= 2

and W2 is not a subspace of Pn.

6 0

2 years ago

We know that a triangle with side lengths x2 -1, 2x, and x2 1 is a right triangle. Using those side lengths, find the missing tr

Olenka [21]

Least to greatest, the triples are (2x, x²-1, x²+1). Thus the value in the first column of the table is half the value of the first of the triples. Your completed table will be

$\begin{array}{cc}\text{x-value}&\text{triple}\\3&\bf{(6,8,10)}\\\bf{4}&(8,15,17)\\5&\bf{(10,24,26)}\\\bf{6}&(12,35,36)\end{array}$

4 0

2 years ago

On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb

den301095 [7]

Answer: b=-a

Step-by-step explanation:

got it right on edgenuity!

4 0

2 years ago

Read 2 more answers