All categories

3 years ago

Find the length of EG.

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Solution: 12.6

Step by step solution:
In triangle abc the ratio is 28/(12+10+18); 28/40
In triangle ade the ratio is equivalent but x/18
So 28/40=x/18
28/40=0.7
x=0.7*18
x=12.6
Hope that helps :)

You might be interested in

Type an equation for the line

Thepotemich [5.8K]

Answer:

$y=-\frac{2}{3}x+1$

Step-by-step explanation:

Let the equation of the line given in the graph is,

y = mx + b

Where 'm' is the slope of the line

And 'b' represents the y-intercept

Since slope of a line passing through two points $(x_1, y_1)$ and $(x_2,y_2)$ is modeled by,

m = $\frac{y_2-y_1}{x_2-x_1}$

If this line passes through (-3, 3) and (3, -1),

m = $\frac{3+1}{-3-3}$

m = $-\frac{4}{6}$

= $-\frac{2}{3}$

And 'b' = 1

Equation of this line will be,

$y=-\frac{2}{3}x+1$

4 0

3 years ago

Starting at home, Nadia traveled uphill to the grocery store for 30 minutes at just 4 mph. She then traveled back home along the

seraphim [82]

Answer: $6\ mph$

Step-by-step explanation:

Let d be the distance from Nadia's home to the grocery store.

Given : Nadia traveled uphill to the grocery store for 30 minutes at just 4 mph.

∵ 1 hour = 60 minutes.

Then, $30\text{ minutes}=\dfrac{30}{60}=0.5\text{ hour}$

Since $\text{Distance = Speed * Time}$

Then, $d=4\times0.5=2\text{ miles}$

Also, She then traveled back home along the same path downhill at a speed of 12 mph.

Then, Time taken to travel back home = $\dfrac{\text{Distance}}{\text{Speed}}=\dfrac{2}{12}=\dfrac{1}{6}\text{ hours}$

Average Speed = $\dfrac{\text{Total distance}}{\text{Total time taken}}$

$=\dfrac{2+2}{0.5+\dfrac{1}{6}}\\\\=\dfrac{4}{\dfrac{3+1}{6}}=\dfrac{4\times6}{4}=6\ mph$

Hence, her average speed for the entire trip from home to the grocery store and back = $6\ mph$

8 0

4 years ago

A baker is making cupcakes. he has 36 pounds of dough. each cupcake is made from ⅙ pound of dough. how many cupcakes can be made

Paha777 [63]

Answer: 216 cupcakes can be made

Step-by-step explanation:

Given information

36 pounds of dough in total

⅙ pound of dough per cupcake

Set variables

Let x be the number of cupcakes that could be made

Set equations from given information

Total = unit × number

36 = (1/6) × x

Multiply 6 on both sides to isolate [x] variable

36 × 6 = (1/6) × x × 6

216 = 1 × x

$\boxed{x=216}$

Hope this helps!! :)

Please let me know if you have any questions

4 0

3 years ago

Read 2 more answers

A 90% confidence interval is centered at a _____ and is 90% sure to contain the _______.

forsale [732]

Answer:

See below

Step-by-step explanation:

A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.

When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.

3 0

2 years ago

A company has developed a new battery, but the average lifetime of all of the batteries it makes is unknown. In order to estimat

uranmaximum [27]

Answer:

<h2>The answer here would be Statistic.</h2>

Step-by-step explanation:

In Statistics,Statistic is a term which refers to the values or estimates obtained from the sample to evaluate the actual population parameters.
In this instance,observe that the average lifetime of the sample of 500 batteries tested comes out to be 225 hours., which is used to estimate the actual average lifetime of all the batteries developed by the company,which is also the population of interest in the concerned study.
Hence,the average lifetime of the sample of 500 batteries of 225 hours is a sample Statistic which can be tested to determine the actual average lifetime of the all the batteries produced by the company.

4 0

4 years ago