All categories

3 years ago

PLEASE HELP ME ANSWER THIS!!! PLEASE

Mathematics

2 answers:

MatroZZZ [7]3 years ago

8 0

121° + 30° + x° = 180°

151° + x° = 180°

x = 29°

Oksanka [162]3 years ago

4 0

29 degrees is your answer :)

You might be interested in

If i have 480 grams of pasta for 4 people how many kilograms will i need for 14 people

Afina-wow [57]

$\bf \begin{array}{ccll} \stackrel{pasta}{grams}&people\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 480&4\\ g&14 \end{array}\implies \cfrac{480}{g}=\cfrac{4}{14}\implies \cfrac{480}{g}=\cfrac{2}{7} \\\\\\ \cfrac{480\cdot 7}{2}=g\implies 1680=g$

now, there are 1000 grams in one Kilogram, so in 1680 grams, there are 1680/1000 Kilograms, namely 1.680.

7 0

2 years ago

Which is the equation of a hyperbola with directrices at x = ±3 and foci at (4, 0) and (−4, 0)?

Alex Ar [27]

Answer:

$\frac{x^2}{12}-\frac{y^2}{4}=1$

Step-by-step explanation:

Since our foci are located on the x-axis, then our major axis is going to be the horizontal transverse axis of the hyperbola:

Formula for hyperbola with horizontal transverse axis centered at origin

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$
Directrices -> $x=\pm\frac{a^2}{c}$
Foci -> $(\pm c,0)$ where $a^2+b^2=c^2$
$a>b$

Since we are given our directrices of $x=\pm3$ and foci of $(\pm4,0)$ , then we can set up the directrices equation to solve for $a^2$ :

$x=\pm\frac{a^2}{c}\\ \\\pm3=\pm\frac{a^2}{4}\\ \\12=a^2$

Now we can determine $b^2$ to complete our equation for the hyperbola:

$a^2+b^2=c^2\\\\12+b^2=4^2\\\\12+b^2=16\\\\b^2=4$

Therefore, our equation for our hyperbola is $\frac{x^2}{12}-\frac{y^2}{4}=1$

5 0

1 year ago

The total cost C for p pounds of lithium if each pound cost $5.44

Vikki [24]

c + p = $5.44

That's the equation

3 0

2 years ago

Read 2 more answers

A.4 B.3 C.2 D.1 Help please

vazorg [7]

The number of exports is GREATER than the number of imports if the bar for exports (pink) is TALLER than the bar for imports (blue). It appears that happens only on Friday.

3 0

3 years ago

Which option is an example of an experiment?

son4ous [18]

option D recording the reaction time of participants in a study who were asked to press a button age as soon as they see a certain picture on a screen ASAP please

7 0

2 years ago