All categories

3 years ago

Hello!

Mathematics

1 answer:

Goshia [24]3 years ago

7 0

Answer:

C. 65

Step-by-step explanation:

<u>As KL║JM and JL is transversal, we already have:</u>

∠KLJ≅∠MJL

<u>To satisfy AAS we need to have ∠JKL≅LMJ, therefore:</u>

m∠JKL = m∠LMJ
2x+ 18 = 3x - 47
3x - 2x = 18 + 47
x = 65

Correct option is C

You might be interested in

when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

What is 3/ 4 of 6 / 7?

Vika [28.1K]

3/4 of 6/7. The of means multiplication.

= 3/4 * 6/7. 2 into 4 is 2 and 2 into 6 is 3.
= 3/2 * 3/7 No other number can divide, so we multiply out.
=9/14

That's the answer.

6 0

3 years ago

Read 2 more answers

Please help me with this homework

fiasKO [112]

Answer:

It will be $2.40

4 0

3 years ago

70 POINTS SIMPLE QUESTION ...im just dumb PLEASE HELP...

gogolik [260]

Answer:

A dilation of 2 about the origin.

Step-by-step explanation:

You can see in the original figure the points are half the points of the transformed figure.

For example the coordinates of H are (0.5,0)

The coordinates of H' are (1,0)

Since 0.5 * 2 = 1

There is a dilation of 2 about the origin.

8 0

3 years ago

Read 2 more answers

Y= -1.4 -1 x intercept?

eimsori [14]

Answer:

b = -1.4

Step-by-step explanation:

5 0

3 years ago