All categories

2 years ago

Using the example in #8, find the value of x

Mathematics

1 answer:

RUDIKE [14]2 years ago

7 0

Answer:

SolutioN :

Set up an equation & solve for x :

$\star \tt \: 15x - 7 - 3x + 151 = 180$ [ Sum of co-interior angles ]

$\longrightarrow \tt \: 12x + 144 = 180$

$\longrightarrow \tt \: 12x = 36$

$\longrightarrow \tt \: x = \frac{36}{12}$

$\longrightarrow \tt \: x = \boxed{ \tt{3}}$

The value of x is 3 .

---------- HappY LearninG <3 ---------

You might be interested in

The manager of High Point Sofa and Chair, a large furniture manufacturer located in North Carolina, is studying the job performa

beks73 [17]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached image below to see the step by step explanation to the question above.

8 0

3 years ago

1. 36x^2+____x+4<br> 2. 49x^2-28x+____

Contact [7]

Answer:

2113

8 0

2 years ago

In the diagram, the measure of angle 3 is 105°. Which angle must also measure 105°? Angle1 Angle4 Angle6 Angle8

Lunna [17]

Answer:

option A is the right option.

Here,

<3=105°

<1=<3(being vertically opposite angles)

<1=105°

Explanation:

Please see the attached picture.

There,

<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles. Vertically opposite angles are always equal.

Hope this helps..

Good luck on your assignment...

8 0

3 years ago

Mia and holly can clean their room in 20 minutes, working together. Working alone, mia can clean the room in 30. How long would

vladimir2022 [97]

Answer: Holly would take 60 minutes to clean alone.

Step-by-step explanation:

Let t = Time taken by Holly to clean alone.

Given: Time taken by Mia to clean alone = 30 minutes

Time taken by Mia and holly to clean their room = 20 minutes

Then,

$\dfrac1t+\dfrac{1}{30}=\dfrac{1}{20}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{20}-\dfrac{1}{30}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{3-2}{60}\\\\\Rightarrow\ \dfrac{1}{t}=\dfrac{1}{60}\\\\\Rightarrow\ t= 60$

Hence, Holly would take 60 minutes to clean alone.

5 0

3 years ago

The compressive strength of concrete is normally distributed with mu = 2500 psi and sigma = 50 psi. A random sample of n = 8 spe

ipn [44]

Answer:

The standard error of the sample mean is _17.677_ psi.

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of n = 8 specimens is collected.

Given sample size is n = 8

Given mean of the population 'μ' = 2500 psi

standard deviation 'σ' = 50 psi

Let x⁻ is the mean of the observed sample

Standard error of the sample mean = $\frac{S.D}{\sqrt{n} }$ ...(i)

Given Population of standard error (S.D) 'σ' = 50 psi

Now substitute all values in (i)

$S.E = \frac{50}{\sqrt{8} } =17.677$

<u>Conclusion</u>:-

The standard error of the sample mean is _17.677psi.

7 0

2 years ago