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3 years ago

Angle JKL is a straight angle. The measure of angle MKL is 85°. The measure of angle JKM is xº. What is the value of x?

Mathematics

1 answer:

iris [78.8K]3 years ago

8 0

Answer:

95°

Step-by-step explanation:

<u>Straight angle is 180°</u>

JKL = MKL + JKM
180° = 85° + x
x = 180° - 85°
x = 95°

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The table shows the results of a survey of 400 random people on whether they like liquid soap, bar soap, or both. A 4-column tab

In-s [12.5K]

Answer: 100/400

<u>Step-by-step explanation:</u>

$\begin{array}{l|c|c|c}&Liquid&Not\ Liquid&Total\\ Bar&200&100&300\\Not\ Bar&80&20&100\\Total&280&120&400\end{array}$

$\dfrac{Not\ Bar:Total}{Total:Total}\quad =\dfrac{100}{400}$

4 0

3 years ago

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

2 years ago

The graph of which function has an axis of symmetry at x=3?

iragen [17]

Answer:

A graph that has an axis of symmetry at x = 3 would be x^2 -6x + 12

Step-by-step explanation:

In order to find a graph that has an axis of symmetry at 3, use the equation for the axis of symmetry of a quadratic.

x = -b/2a

In this equation, a is the coefficient of x^2 and b is the coefficient of x. So, if we use 3 as x and we choose a random number to be a (1), we can solve for the b.

3 = -b/2(1)

3 = -b/2

6 = -b

b = -6

Now that we have this, we can put those two numbers as coefficients. The constant at the end can be anything.

5 0

3 years ago

Read 2 more answers

If n is the square root of a positive integer, and is divisible by both 2 and 6, what is the least possible value of n?

Paraphin [41]

6 is the square root of 36 and is divisible by 2 and 6.

6 0

3 years ago

Select the correct answer from each drop-down menu.

Ostrovityanka [42]

Answer:

Both questions are true.

Step-by-step explanation:

The general mathematical equation of a line can be written as $y = ax + b$ .

If we rearrange the two equations given in the question as follows:

$5y = 3x + 22$ and $20y = 12x + 11$

We can see that they follow the general equation we defined earlier so we can say that they represents linear lines.

The $20y = 12x + 88$ given in the second question also represents a similar linear line with a different slope.

So the two questions are both true.

I hope this answer helps.

4 0

2 years ago

Angle JKL is a straight angle. The measure of angle MKL is 85°. The measure of angle JKM is xº. What is the value of x?​

Angle JKL is a straight angle. The measure of angle MKL is 85°. The measure of angle JKM is xº. What is the value of x?