All categories

3 years ago

In the diagram, GB = 2x + 3.. What is GB?

Mathematics

1 answer:

tia_tia [17]3 years ago

6 0

Answer:

GB = 15

Step-by-step explanation:

DC, EB and FA are the medians of the triangle.

The point G where the medians intersect is the centroid.

On each median the distance from the vertex to the centroid is twice as long as the distance from the centroid to the midpoint, hence

FG = 2GA, that is

5x = 2(x + 9)

5x = 2x + 18 ( subtract 2x from both sides )

3x = 18 ( divide both sides by 3 )

x = 6

Hence

GB = 2x + 3 = (2 × 6) + 3 = 12 + 3 = 15

You might be interested in

The graph below shows the relationship between two variables.

Sergeeva-Olga [200]

The graph adequately represents the following case

"The number of employees at a store increased at a constant rate for 5 years. There was a decrease in the number of employees for 2 years. Then the number of employees increased at a greater constant rate for the next few years."

Step-by-step explanation:

To solve the above-mentioned problems we need to filter the results through analysing the options given-

We have to keep in mind that-

For an increase in value/quantity- the graph would be on an upswing
For decrease in value/quantity- The graph would be in declining mode
For constant value- horizontal graph line parallel to the x-axis

Now going through the options-

option 1:-

David drove at a constant speed initially- throughout the graph no horizontal line is present, hence this condition does not represent the graph.

option 2:-

test scores increased and then decline- In this condition only two phases are mentioned, whereas in the graph three different phases are present. Hence this condition too does not represent the graph.

option 3:-

After the period of slow.- The graph starts with an upswing. hence this condition too does not represent the graph.

option 4:-

Employees increased and then declined and then again increased. All the above condition corroborates to the above-mentioned graph. hence this condition is represented in the graph

4 0

3 years ago

What are the more appropriate measures of center and spread for this data set?<br> 5 8 10 14 24

julia-pushkina [17]

Answer:

B. and D. is the answer.

5 0

2 years ago

Read 2 more answers

A local bagel shop produces two products: bagels (B) and croissants (C). Each bagel requires 6 ounces of flour, 1 gram of yeast,

KengaRu [80]

Answer:

see below

Step-by-step explanation:

If we let X represent the number of bagels produced, and Y the number of croissants, then we want ...

(a) Max Profit = 20X +30Y

(b) Subject to ...

6X +3Y ≤ 6600 . . . . . . available flour

X + Y ≤ 1400 . . . . . . . . available yeast

2X +4Y ≤ 4800 . . . . . . available sugar

_____

Production of 400 bagels and 1000 croissants will produce a maximum profit of $380.

In the attached graph, we have shaded the areas that are NOT part of the solution set. (X and Y less than 0 are also not part of the solution set, but are left unshaded.) This approach can sometimes make the solution space easier to understand, since it is white.

The vertex of the solution space that moves the profit function farthest from the origin is the one we are seeking. The point that does that is (X, Y) = (400, 1000).

4 0

3 years ago

Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amou

katen-ka-za [31]

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

6 0

3 years ago

Please help there’s a picture <br> 60°<br> 60<br> Y=?

Zinaida [17]

Answer:

Pretty sure it's 90 degrees

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers