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2 years ago

The angles in a quadilateral are are 61,4x,115,96 degrees, find the value of X.

Mathematics

1 answer:

icang [17]2 years ago

7 0

Answer:

x = <u>22</u>

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360°. This can be written as:

61° + 115° + 96° + 4x = 360°

Further simply and solve to find the value of x.

272° + 4x = 360°

4x = 360° - 272°

4x = 88

x = $\frac{88}{4}$

∴ x = 22

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the temperature at midnight is -3 degrees the weatherman predicts the temperature to be 25 degrees warmer by noon the next day.f

Vikentia [17]

Answer:the tempature will be 22 degrees (i dunno if you measure in Farenheight or celcius so dunno)

Step-by-step explanation: because if the tempature

would rise it would be 22 whatever you measure with

3 0

3 years ago

All questions are about this system of equations:

sertanlavr [38]

If we are eliminating x, we would multiply the 2nd equation by -5

5x + 18y = 23
x + 3y = 2....multiply by -5
-----------------
5x + 18y = 23
-5x - 15y = - 10 (result of multiplying by -5)
----------------add
0 + 3y = 13.....bye-bye x :)

6 0

3 years ago

Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How

Scorpion4ik [409]

let's check how much is it after 2 years firstly.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275$

Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 years.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}$

$\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}$

4 0

3 years ago

14 + 5x = 3(-x + 3) -11 please show work step by step

mr Goodwill [35]

14+5x=3(-x+3)-11

14+5x=-3x+9-11

14+5x=-3x-2

add 2 to both sides

16+5x=-3x

subtract 5x from both sides

16=-8x

divide both sides by -8

-2=x

Hope this helps! :)

3 0

3 years ago

Given: Isosceles TriangleDEF. The measure of vertex Angle D is four times the measure of each base angle E and F.

777dan777 [17]

Answer:

D = 120° , E = 30° , F = 30°

Step-by-step explanation:

Let D = 4x

Let E&F = x

4x + x + × = 180°[angles in triangle is 180°]

6x = 180°

x = 180/6

x = 30°

E = 30°

F =30°

D =4(30°)

=120°

(Correct me if i am wrong)

4 0

3 years ago

The angles in a quadilateral are are 61,4x,115,96 degrees, find the value of X.​

The angles in a quadilateral are are 61,4x,115,96 degrees, find the value of X.