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Julli [10]
3 years ago
14

DF bisects EDG Find FG. The diagram is not to scale.A.15B.14C.19D. 28​

Mathematics
1 answer:
Ahat [919]3 years ago
6 0

Answer:

○ b. 14

Step-by-step explanation:

Since <em>DF</em><em> </em>is a segment bisector, set both expressions equal to each other:

3n - 4 = n + 8

-3n - 3n

__________

−4 = −2n + 8

-8 - 8

_________

−12 = −2n

__ ___

−2 −2

6 = n [Plug this back into both expressions above to get the value of 14]; 14 = FG; 14 = EF

I am joyous to assist you anytime.

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I need help!!
netineya [11]

Answer:

2x +21

Step-by-step explanation:

log_{5} {5}^{(2x - 9)}   +  log_{3} {729}^{5}   \\  \\  =  log_{5} {5}^{(2x - 9)}   +  log_{3} {( {3}^{6} )}^{5}   \\  \\  =  log_{5} {5}^{(2x - 9)}   +  log_{3} { {3}}^{6 \times 5}   \\  \\  =  log_{5} {5}^{(2x - 9)}   +  log_{3} { {3}}^{30}    \\  \\ =(2x - 9)  log_{5} {5} + 30 log_{3} { {3}}   \\  \\  = (2x - 9).1 + 30(1 )\\ ( \because \: log_{a} { {a}}    = 1) \\  \\  = 2x - 9 + 30 \\  \\  = 2x +21

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=54x2y%20-%2012x2y2" id="TexFormula1" title="54x2y - 12x2y2" alt="54x2y - 12x2y2" align="absmid
Free_Kalibri [48]

Answer:

6x²y(9 - 2y)

Step-by-step explanation:

Step 1: Factor out GCF

6(9x²y - 2x²y²)

Step 2: Factor out <em>x²</em>

6x²(9y - 2y²)

Step 3: Factor out <em>y</em>

6x²y(9 - 2y)

And we have our factored answer.

7 0
3 years ago
Read 2 more answers
Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
On an algebra test , the highest grade was 50 points higher than the lowest the sum of the two grades was 122 find the lowest gr
KATRIN_1 [288]

Answer:

Highest grade: 86

Lowest grade: 36

Step-by-step explanation:

Let the highest grade be h, lowest grade be l.

h = 50 + l  \\  \\ h + l = 122 \\ h = 122 - l \\  \\

Therefore,

122 - l \:  = 50 + l \\ 2l \:  = 72 \\ l = 36 \\  \\ h = 36 + 50 = 86

6 0
3 years ago
This is about angles. Please answer someone?
NISA [10]
Actually, this is not about angles.  It's about the length of the sides in a right triangle.

In EVERY right triangle, the squares of the lengths of the short sides add up
to the square of the length of the longest side.  You're in high school math,so
I'm SURE you've heard that in class before ... possibly even just before you
were assigned this problem.

Let's say that again:  The squares of the lengths of the sides that meet at
the  right angle add up to the square of the length of the longest side.  In
the triangle in this particular problem, that means
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You know the lengths of 'b' and 'c', so you shouldn't have any trouble finding
the length of 'a'.
4 0
3 years ago
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