All categories

3 years ago

If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

w = 2, EF = 30 , FG = 42

Explanation:

We have EF = 5w + 20 and FG = 7w + 28

Since these points E, F and G are col-linear points we have.

EG = EF + FG

And given that EG = 72

So, EF+EG = 72

5w + 20 + 7w + 28 = 72

12w + 48 = 72

12 w = 24

w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

FG = 7w + 28 = 7x2 + 28 = 42

You might be interested in

Which number from the data set 1, 1, 1, 2, 2, 3, 4, 5,5, and 25 is an outlier?

timofeeve [1]

Outliers are like outcasts of the group
Which number is farthest away from the average?
1-5 seems to be average

Solution: 25 is the outlier

6 0

3 years ago

Suppose there are 4,000 bacteria in a sample. The population of the bacteria doubles exponentially every hour how many hours wil

aleksley [76]

After 4 hours there will be 64 000

3 - 32k
2-16
1-8

do you need exactly 50 000?

6 0

2 years ago

A circle has a radius of

natima [27]

$\bf s=r\theta\qquad 
\begin{cases}
s=\textit{arc's length}\\
r=radius\\
\theta=\textit{central angle in radians}\\
\qquad \textit{made/subtended by the angle }\theta
\end{cases}\implies \cfrac{s}{r}=\theta$

you're given both, plug them in

4 0

3 years ago

Given g (2) = -2x + 5 - 1.

Verizon [17]

Answer:

Step-by-step explanation:

Domain : all real numbers

Range : All real numbers

x - intercept : none

y- intercept : (0,2)

End behavior : Points diagnally to the right

5 0

3 years ago

PLLLLLZZZ HELP ME

Lesechka [4]

Answer:

Part A: 48in^2

Part B: 4in by 12in, 8in by 6in, and 3in by 16in

Step-by-step explanation:

Volume/height is the area of the base:

480/10 = 48in^2

Any two numbers that multiply to 48 are possible dimensions of the block:

4*12, 8*6, 3*16

7 0

3 years ago