All categories

3 years ago

∠LMN and ∠NMO are a linear pair of angles. If ∠LMN = 4x + 3 and ∠NMO = 10x – 5, then find the value of x. (1 point)

2 answers:

8 0

Linear angles are two angles that are part of a straight angle (180*), so both must add up to 180. If 4x+3+10x-5+180, then 14x-2=180, then 14x=182, and x=13

OLEGan [10]3 years ago

6 0

Answer: x = 13

Step-by-step explanation:

Given: ∠LMN and ∠NMO are a linear pair of angles.

We know that linear pair of angles are supplementary.

Then ∠LMN + ∠NMO=180°

If ∠LMN = $4x+3$ and ∠NMO = $10x-5$ ,

$\Rightarrow4x+3+10x-5=180$

$\Rightarrow14x-2=180\\\Rightarrow14x=180+2\\\Rightarrow14x=182\\\Rightarrow\ x=\frac{182}{14}\\\Rightarrow\ x=13$

Hence, the value of x=13 .

You might be interested in

What is the relationship between the ratios? 16/72 and 8/32 Drag and drop to complete the statement. The ratios are . proportion

Yuki888 [10]

These ratios are not proportional.

Explanation:

If the ratio 8:32 were simplified, it would equal 1:4 because they can both be divided by 8. But since 16 x 4 does not equal 72, they cannot be divided by 4 to make a simplified ratio such as the first example.

Hope I helped, and good luck!

5 0

3 years ago

Read 2 more answers

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

Verdich [7]

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

$HW^2=128$

solving for H

$H=\frac{128}{W^2}$

<em />

<em>Using ecuation 2</em>

H-4=W

$\frac{128}{W^2}-4=W\\W^3+4W^2-128=0$

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

7 0

3 years ago

Consider the system of equations: 3x+2y=18 and x-2y=14.

Fantom [35]

Multiplication property of equality

7 0

3 years ago

How do i solve 4m^2+3m-1=0 using the quadratic formula

elixir [45]

Quadratic formulat is used when a^2+bx+c=0 x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$ 4m^2+3m-1=0 a=4 b=3 c=-1 input x= $\frac{-3+/- \sqrt{3^{2}-4(4)(-1)} }{2(4)}$ x= $\frac{-3+/- \sqrt{9+16} }{8}$ x= $\frac{-3+/- \sqrt{25} }{8}$ x= $\frac{-3+/-5 }{8}$ x= $\frac{-8}{8}$ or $\frac{2}{8}$ x=-1 or 1/4

8 0

4 years ago

Santino pays $36.85 for eleven 10-count boxes of granola bars. How much does 1 box of granola bars cost?

Fantom [35]

Answer:

One box of granola bars costs $3.35.

Step-by-step explanation:

36.85/11=3.35

5 0

3 years ago