The deegree measures of two opposite angles of a parallelagram are represcented by 2n+30 and n+45. Find n

Answers

Answer 1
Answer:

For this case, we have that by definition, in a parallelogram, the opposite angles are congruent, that is, they are equal. So, given the measurements of two opposite angles of a parallelogram, we have:

2n + 30 = n + 45

Clearing "n":

Subtract "n" from both sides of the equation:

2n-n + 30 = n-n + 45\nn + 30 = 45

We subtract 30 from both sides of the equation:

n + 30-30 = 45-30\nn = 15

Thus, the value of n is 15.

Answer:

n = 15


Answer 2
Answer:

Opposite angles in parallelogram are equal so the answer will be;

2n+30=n+45

2n-n=45-30

n=15



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Bob and sarah need to paint a fence. bob can paint the fence in 4 hours and sarah can paint the fence in 2.5 hours. if they work together, how long will it take them to paint the fence?

jane paid $40 for an item after she received a 20% discount. janes friend says this means that the original price of the item is $48 IS janes friend correct why or why not

Answers

48x0.2= $9.6
$48-9.6=$38.40 Her friend is incorrect. 
40/48 =0.83 or about 83% So, in this case she only got 17% off. :)
Hope I helped 

What is the volume of the cube? A. 2744 mm3

B. 42 mm3

C. 1176 mm3

D. 196 mm3

Answers

If you would like to know the volume of the cube, you can calculate this using the following steps:

a^3 = 2744 mm^3 ... a = 14 mm
b^3 = 42 mm^3 ... b = 3.48 mm
c^3 = 1176 mm^3 ... c = 10.56 mm
d^3 = 196 mm^3 ... d = 5.81 mm

The correct result would be A. 2744 mm^3.

the correct answer is A.

There are 4 squares and 10 triangles. What is the simplest ratio of squares to total shapes?

Answers

Answer:

2:5 I think

Step-by-step explanation:

HELP ILL GIVE BRAINLIESTTwenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets represent their answers.

Class A: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}
Class B: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}

Which statement is true for the data sets?

A.
The mean study time of students in Class A is less than students in Class B.
B.
The mean study time of students in Class B is less than students in Class A.
C.
The median study time of students in Class B is greater than students in Class A.
D.
The range of study time of students in Class A is less than students in Class B.
E.
The mean and median study time of students in Class A and Class B is equal.

Answers

Answer:

b

because the mean refers to the most recurring numeral and in b it is two recurring about 5 times

Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −one half.f(x) = −(x + 2)2 − three fourths
f(x) = (x + 2)2 + three fourths
f(x) = −(x − 2)2 + three fourths
f(x) = −(x − 2)2 − three fourths

Answers

Basically, the parabola has to have all points that are equidistant from the focus and the directrix, the directrix being a horizontal line, and the focus being a point given. To derive an equation from this you need to use the distance formula which I'm guessing you already know because you're already in precalc.
The gist of it is that we have a random point on the parabola (x,y), and the point (x,y) will be equidistant from both the focus and the directrix. If we use the distance formula, you get something like this:
\sqrt{(y-(- (1)/(2) ))^2} = √((x-2)^2+(y-(-1)^2)
The square root of y-(-1/2) coming from the directrix, and the righthand side of the equal sign being derived from the focus.
All you need to do is simplify now!
(y+(1)/(2))^2 = (x-2)^2+(y+1)^2 \n\ y^2+y+ (1)/(4) = x^2-4x+4 + y^2+2y+1 \n\ -y-(3)/(4) = x^2-4x+4 \n\ -y-(3)/(4) = (x-2)^2 \n\ -y = (x-2)^2+(3)/(4) \n\ y = -(x-2)^2-(3)/(4)

Hope I helped! 

Answer:

f(x) = −(x − 2)2 − three fourths

Step-by-step explanation:

Please someone help me with this, it’s due today

Answers

Answer:

~91 chirps/min

Step-by-step explanation:

This exercise is asking us to estimate based on the values in the table. If we know the temperature is 65°F, let's find the closest values given to interpolate (assuming the data is fairly linear, which it appears to be).

Looks like the closest ones are 60° and 68°. We will look at their corresponding chirps/min and guess a number in between those two.

60° -> 81 chirps/min

68° -> 97 chirps/min

Because 65 is closer to 68 than 60, we expect our result to be closer to 97 than 81.

slope = rise/run

(97-81)/(68-60) = (16)/(8) = 2 chirps/min/°F. So for every °F increase, we expect to increase by 2 chirps/min.

60+5 = 65, so let's add 2*5 = 10 chirps/min to 60 to get 91 chirps/min. This corresponds with what we would have guessed.

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