All categories

3 years ago

How do I solve this??

Mathematics

1 answer:

tresset_1 [31]3 years ago

4 0

Answer:

x = 7.5

Step-by-step explanation:

Since DF bisects ∠CDE then

∠EDF = ∠CDF, hence

8x = 4x + 30 ( subtract 4x from both sides )

4x = 30 ( divide both sides by 4 )

x = 7.5

You might be interested in

Linda used a triple beam balance to find the mass of three identical math textbooks. If the total of the three textbooks is 654

Bogdan [553]

Each book is 218 grams

7 0

2 years ago

Read 2 more answers

Each investment matures in 3 years. The interest compounds annually.

Sveta_85 [38]

bearing in mind that 4¾ is simply 4.75.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=600\left(1+\frac{0.05}{1}\right)^{1\cdot 3}\implies A=600(1.05)^3\implies A=694.575 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$750\\ r=rate\to 4.75\%\to \frac{4.75}{100}\dotfill &0.0475\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=750\left(1+\frac{0.0475}{1}\right)^{1\cdot 3}\implies A=750(1.0475)^3\implies A\approx 862.032$

well, the interest for each is simply A - P

695.575 - 600 = 95.575.

862.032 - 750 = 112.032.

4 0

2 years ago

If a diameter of a circle has endpoints (-3,5) and<br> (5, 7), then the center of the circle is

zavuch27 [327]

Answer:

(1 , 6)

Step-by-step explanation:

the center of the circle is the midpoint of the diameter

Which is the point of coordinates:

$(\frac{-3+5}{2} ,\frac{5+7}{2} )$

Then the center is the point :

$(1 , 6)$

6 0

1 year ago

Read 2 more answers

Carly wants to add texting to her cell phone plan. She has two choices in texting packages. The TURKEY plan charges $.15 per tex

Usimov [2.4K]

Let x be the number of texts (amount of texts) Carly does in a month.

Let y be the "total" amount Carly will have to pay in a month.

Then, as per the TURKEY plan, Carly's monthly total cost will be represented by the equation as shown: $y=0.15x+20$

As we can clearly see in the above equation even if Carly does not text a single message (when x=0), even then they will have to pay $20 for that month.

For the GOBBLE plan, the equation will be: $y=0.2x$ .

In this plan as there is no fixed charge, Carly wont have to pay anything extra if they dont make a call.

5 0

2 years ago

Which kind of triangle is shown

KiRa [710]

Answer:

scalene triangle

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers