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lidiya [134]
3 years ago
15

In the figure above, if l ll m and r ll s, what is the value of x?

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
6 0

Answer:

C x= 85°

Step-by-step explanation:

x+ 60° + 35° =180°

x= 180° - 60° - 35°

x= 85°

Makovka662 [10]3 years ago
5 0

Answer:

85°

Step-by-step explanation:

Show that the known angles can be transferred to the triangle via corresponding angles and vertical angles

Sum of interior triangle angles is 180

x = 180 - 60 - 35 = 85

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Evaluate the spherical coordinate integral
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Rewrite the equations of the given boundary lines:

<em>y</em> = -<em>x</em> + 1  ==>  <em>x</em> + <em>y</em> = 1

<em>y</em> = -<em>x</em> + 4  ==>  <em>x</em> + <em>y</em> = 4

<em>y</em> = 2<em>x</em> + 2  ==>  -2<em>x</em> + <em>y</em> = 2

<em>y</em> = 2<em>x</em> + 5  ==>  -2<em>x</em> + <em>y</em> = 5

This tells us the parallelogram in the <em>x</em>-<em>y</em> plane corresponds to the rectangle in the <em>u</em>-<em>v</em> plane with 1 ≤ <em>u</em> ≤ 4 and 2 ≤ <em>v</em> ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3

Rewrite the integrand:

-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3

The integral is then

\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}

5 0
3 years ago
Evaluate the Riemann sum for (x) = x3 − 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the sample points, xi, to be the right e
NikAS [45]

The answer for number one is -3.938.


For full answer it is found on:

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.1029380.html



3 0
3 years ago
Five people buy individual insurance policies. According to the research, the probability of each of these people not filing a c
Arlecino [84]
P(no claim after 5 years) = (2/3)^5 =  0.132
3 0
3 years ago
Read 2 more answers
Find the cost of sending a telegram which has 34words if the cost of the first ten words is4050$and the cost of each extra word
Stells [14]

Answer:

The final cost would be $42,780 for sending a 34 word telegram.

Step-by-step explanation:

1. $4050*10= $40,500

2. 34-10=24

3. 24*$95= $2,280

4. $40,500+$2,280= $42,780

Hope this helps! :)

<h3>CloutAnswers</h3>
3 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alenkasestr [34]

Answer:

A = -10

Step-by-step explanation:

x^2 + 10x + 24 = 0

To find the roots, we need to factor the equation.

What 2 numbers multiply to 24 and add to 10

6*4 = 24

6+4 = 10

(x+6) (x+4)=0

Using the zero product property

x+6 = 0  x+4 = 0

x = -6   x = -4

We want the sum when the roots are added

-6+ -4 = -10

6 0
3 years ago
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