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3 years ago

Help me on this Geometry question "Finding angle measures using triangles".

Mathematics

2 answers:

vladimir1956 [14]3 years ago

5 0

X is 63 degrees!
It is equal to the angle marked 63 degrees (angles in that arrangement are always equal)

andrew11 [14]3 years ago

3 0

Answer:

x=27

Step-by-step explanation:

since the sum of all the angles of a triangle equals 180 it means that the angle opposite of the x is 27 which automatically makes x 27

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The penguin nursery is open two times a day: 2/3 hour at noon and 5/12 hour in the afternoon. How much time is the penguin nurse

Molodets [167]

Answer: The answer is $1\dfrac{1}{12}~\textup{hours}.$

Step-by-step explanation: Given that the penguin nursery is open two times in a day, where the number of hours open at the noon and afternoon are respectively given by

$t_n=\dfrac{2}{3}~\textup{hour},\\\\t_a=\dfrac{5}{12}~\textup{hour}.$

Therefore, the total number of hours 't' penguin nursery open every day is given by

$t=t_n+t_a=\dfrac{2}{3}+\dfrac{5}{12}=\dfrac{8+5}{12}=\dfrac{13}{12}=1\dfrac{1}{12}~\textup{hour}.$

Thus, the answer is

$1\dfrac{1}{12}~\textup{hours}.$

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3 years ago

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Given the Formula E equals IR what is the formula R

scZoUnD [109]

E = IR
R = E/I

You have to divide I form R

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3 years ago

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Rewrite the expression without the negative exponent. 2x^−4

romanna [79]

Answer:

$\frac{2}{x^4}$

Step-by-step explanation:

The expression is $2x^{-4}$

We use the rule of exponents shown below to change the original to "positive" exponent form:

$a^-b=\frac{1}{a^b}$

Now we can change the original expression given into positive exponent:

$2x^{-4}\\=\frac{2}{x^4}$

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3 years ago

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Equation of the line (-6,5) and (8,14) in standard form

blsea [12.9K]

Answer:

$\huge\boxed{9x-14y=-70}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-6, 5) and (8, 14).

Substitute:

$m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)$

Thew standard form of an equation of a line:

$Ax+By=C$

transform:

$y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70$

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3 years ago

For <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%2B1" id="TexFormula1" title="f(x) = 4x+1" alt="f(x) = 4x+1" align="abs

Kamila [148]

$\bf \begin{cases} f(x)=4x+1\\ g(x)=x^2-5\\[-0.5em] \hrulefill\\ (f\circ g)(4)=f(~~g(4)~~) \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(4)=(4)^2-5\implies g(4)=16-5\implies \boxed{g(4)=11} \\\\\\ f(~~g(4)~~)\implies f(11)\implies f(11)=4(11)+1\implies \blacktriangleright f(11)=45\blacktriangleleft$

3 0

3 years ago

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Help me on this Geometry question "Finding angle measures using triangles".​

Help me on this Geometry question "Finding angle measures using triangles".