What is the value of x? I’LL MARK BRAINLIEST

Find the measure of angle A. 66° x +49 x+83

liubo4ka [24]

Step-by-step explanation:

Since , internal sum of angle of triangle is 180°

So,

66 + x +49 + x+83 = 180

or, 198 + 2x = 180

or, 2x = 180 -198

or, 2x = -18

hence, x = - 9

Now angle A = x + 49

= (-9) + 49

= 40

Hence measure of angle A is 40°.

8 0

2 years ago

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on Saturday a minor league basketball team give a baseball cards each person entering the stadium one group received 28 baseball

MariettaO [177]

Group A = 28 cards Group B = 68 cards Group A + Group B = 96 cards What is the biggest number that evenly divides 28, 68, and 96? Answer the question to find the answer.

3 0

3 years ago

Use the "mixed partials" check to see if the following differential equation is exact. If it is exact find a function F(x,y) who

Arturiano [62]

We have

$(-3xy^2+y)_y=--6xy+1$

and

$(-3x^2y+x)_x=-6xy+1$

so the equation is indeed exact. So we want to find a function $F(x,y)=C$ such that

$F_x=-3xy^2+y$

$F_y=-3x^2y+x$

Integrating both sides of the first equation wrt $x$ gives

$F(x,y)=-\dfrac32x^2y^2+xy+f(y)$

Differentiating both sides wrt $y$ gives

$F_y=-3x^2y+x=-3x^2y+x+f_y\implies f_y=0\implies f(y)=C$

So we have

$F(x,y)=-\dfrac32x^2y^2+xy+C=C$

or

$F(x,y)=\boxed{-\dfrac32x^2y^2+xy=C}$

3 0

3 years ago

Find the sum of integers from 33 to 47:

ICE Princess25 [194]

Answer:

Step-by-step explanation:There are formulas to work this out, but you can also suss out an answer by a liberal application of critical thinking.

Okay, you want to add 51 + 52 + 53 + … + 99 + 100, right? (The … represents all the numbers in between, in case you were wondering.)

Well, that’s a total of 50 numbers. And if you know anything about addition, you know that it doesn’t matter what order you add them.

So you could also say 51 + 100 + 52 + 99 + 53 + 98 + … and so on.

Let’s see what happens. 51 + 100 = 151. So far so good.

Then, 52 + 99 also equals 151. And 53 + 98 also equals 151. Since there are 50 numbers, that’s 25 pairs that are going to add up to 151.

151 + 151 + 151 + 151 + … (21 more instances of 151).

So we can simplify our workload a bit. Instead of adding up all the numbers by hand, we can just multiply 151 by 25.

151 x 25 = 3775

From that, we can work out a generic formula that will allow you to add any sequence of numbers…without actually adding.

Let a be the first number in the sequence, and let n be the last number in the sequence. The number of numbers is (n - a) + 1. (You have to add 1, because if you just subtract, it’s like you’re losing the lowest number in the sequence).

So…you get the sum by adding the first and last number in the sequence, and then multiplying that result by half of the total number of numbers.

(a+n)((n−a)+12)

an−a2+a+n2−an+n2

−a2+a+n2+n2

−a(a−1)+n(n+1)2

Let’s check to see if it works!

−51(51–1)+100(100+1)2

−51(50)+100(101)2

−2550+10,1002

75502

3775

Note that if the starting number were 1, the formula would simplify to n(n+1)2

8 0

3 years ago

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PLS PLS PLS ANSWER 5 AND 6 AND TELL ME THE CORRECT ANSWER AND HOW TO GET THE CORRECT ANSWER THANK. WHOEVER ANSWER THIS CORRECTLY

yuradex [85]

The answer to 5 is A. And the answer to #6 is B. Here is why: So the cost for 6 pens is $2.34. So, you want to find the unit rate. The unit rate basically, in this case, would be how much on pen costs. So to find how much one pen costs you would divide 6 into $2.34. That would give you .39¢. Now to find out how much 20 pencils would cost you would multiply .39¢ by 20. This would give you $7.80. Do you see it now? I hope this could be helpful!

3 0

3 years ago

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