All categories

3 years ago

M∠HGF=16x+4, m∠EGF=110 degrees, and m∠HGE=3x+11. Find x.

Mathematics

2 answers:

zloy xaker [14]3 years ago

5 0

Answer: The required value of x is 9.

Step-by-step explanation: We are given the following :

$m\angle HGF=16x+4,~~~m\angle EGF=110^\circ~~~\textup{and}~~~m\angle HGE=3x+11.$

We are to find the value of x.

From the figure, we note that

$m\angle HGF=m\angle EGF+m\angle HGE\\\\\Rightarrow 16x+4=110+(3x+11)\\\\\Rightarrow 16x+4=3x+121\\\\\Rightarrow 16x-3x=121-4\\\\\Rightarrow 13x=117\\\\\Rightarrow x=\dfrac{117}{13}\\\\\Rightarrow x=9.$

Thus, the required value of x is 9.

Rasek [7]3 years ago

3 0

I hope this helps you

16x+4=110+3x+11

13x=117

x=9

You might be interested in

A hypothesis test was used to see if less than 5% of all Americans would still drive to work if gas prices went above $10.00 a g

Kruka [31]

Answer:

The correct option is;

False

Step-by-step explanation:

Here, we note that the proportion of the test statistic which is used in the test is 5% and the P-value for the test is 0.03

The hypothesis test is meant to check if people will still drive to work when the gas prices are above $10.00 and the suggestion was that we can conclude that when the fuel price is above $5.00 everyone would still drive to work without a P-value for the test, hence we can not come to the stated conclusion.

8 0

3 years ago

13x=-21-6y and -8x=36+6y

IgorLugansk [536]

Answer:

$x=3\\y=-10$

Step-by-step explanation:

$13x=-21-6y\\-8x=36+6y$

Let's take one of the equations and solve for x. I'll take the first one.

$13x=-21-6y$

Divide by 13.

$x=\frac{-21-6y}{13}$

Now replace x in the second equation.

$-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y$

Distribute -8

$\frac{168+48y}{13}=36+6y$

Break down the fraction.

$\frac{168}{13}+\frac{48}{13}y=36+6y$

Subtract $\frac{168}{13}$

$\frac{48}{13}y=36+6y-\frac{168}{13}$

Subtract 6y

$\frac{48}{13}y-6y=36-\frac{168}{13}$

Combine like terms;

$\frac{48-13*6}{13}y=\frac{36*13-168}{13}$

Solve;

$\frac{48-78}{13}y=\frac{468-168}{13}$

Keep solving;

$\frac{-30}{13}y=\frac{300}{13}$

Multiply by the negative reciprocal of the fraction next to y.

$(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )$

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

$y=-10$

After having found y, replace it in any of the equations to find x.

$13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3$

6 0

3 years ago

Read 2 more answers

An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table.

IrinaVladis [17]

For the statement "....A 4-column table with 3 rows. The first column has no label with entries internet, cable television, or total. The second column is labeled satisfied with entries ..." statement about the two-way frequency table that is true is About one-fourth of the cable-television customers are not satisfied. Option D.

This is further explained below.

<h3>What is a two-way frequency table?</h3>

Generally, A two-way table may be used to show the frequency of occurrence of two categories. A row represents a single category, whereas a column represents a different category.

In conclusion, There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

Read more about the two-way frequency table

brainly.com/question/12576014

#SPJ1

7 0

2 years ago

A 17.2 gallon gasoline tank is 1/2 full. How many gallons will it take to fill the tank?

love history [14]

Answer:

8.6

Step-by-step explanation:

We know that the tank is filled halfway, and it can hold 17.2 gallons, so we can just divide to figure out how much is half the tank (the amount we need to fill it)

17.2 / 2 = 8.6

We can check our work by multiplying

8.6 x 2 = 17.2

So it would take 8.6gal to fill it up. I hope this helps :)

3 0

3 years ago

Freddie made the number line below to model the laps he walks around a track at his

Elena-2011 [213]

Answer:

On a standard running 400-meter track a mile is 4 laps… plus 9 more meters if you want to get all technical about it. A mile is specifically 1,609.3 meters.

Step-by-step explanation:

6 0

3 years ago