Line I is parallel to line m. If the measure of <6 is 75, what is the measure of <2?

Answer:

[tex]94 + 49i[/tex]

Step-by-step explanation:

Given

[tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex]

Required

Determine the products

We have:

[tex](2 + \sqrt{-121}) * (3 + \sqrt{-64})[/tex]

Factorize:

[tex]2(3 + \sqrt{-64}) + \sqrt{-121} (3 + \sqrt{-64})[/tex]

Open Brackets

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121} *\sqrt{-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{-121*-64}[/tex]

[tex]6 + 2\sqrt{-64}+ 3\sqrt{-121} + \sqrt{7744}[/tex]

Expand the expression in square roots

[tex]6 + 2\sqrt{-1 * 64}+ 3\sqrt{-1 * 121} + \sqrt{7744}[/tex]

Split roots

[tex]6 + 2\sqrt{-1} * \sqrt{64}+ 3\sqrt{-1} * \sqrt{121} + \sqrt{7744}[/tex]

Take positive square roots of 64, 121 and 7744

[tex]6 + 2\sqrt{-1} * 8+ 3\sqrt{-1} * 11 + 88[/tex]

[tex]6 + 16\sqrt{-1}+ 33\sqrt{-1}+ 88[/tex]

Collect Like Terms

[tex]88 + 6 + 16\sqrt{-1}+ 33\sqrt{-1}[/tex]

[tex]94 + 49\sqrt{-1}[/tex]

A complex number in standard form is:

[tex]a + bi[/tex]

Where

[tex]i = \sqrt{-1[/tex]

So:

[tex]94 + 49\sqrt{-1}[/tex]

=

[tex]94 + 49i[/tex]

Hence:

The product of [tex]2 + \sqrt{-121[/tex] and [tex]3 + \sqrt{-64[/tex] is  [tex]94 + 49i[/tex]

Answer:

5cm I think I am not sure

Answer:

Is there supposed to be a photo?

Answer:

132°

Step-by-step explanation:

y°=7x+20° (vertically opposite angles)

3x°+7x°+20°=180° (interior angles, since M is parallel to N)

10x+20°=180°

10x=180°-20°

10x=160°

x=16°

y°=7(16°)+20°

y°=112°+20°

y°=132°

Answer:

7

Step-by-step explanation:

I just got out of harvard

Answer:

All i know is yes because if you rotate it to the right yo would have all of the same measurments

Step-by-step explanation:

Answer:

use Pythagorean theorem (a^2 + b^2 = c^2)

Step-by-step explanation:

Answer:

A: 103

B: 77

C: 46

Step-by-step explanation:

Answer:

−6x+7x+14=3

x = -11

X had the same value so it can perform its calculations. Integers without any variable can perform its calculations also.

Thank you and please rate me as brainliest as it will help me

Answer:Thx for the point have a good day!!!

Step-by-step explanation:

Answer:

$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86$5.86gt7vxyuerwdgvfyuc54gbryfuiv

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

80% is 80/100

80/100 simplified is 4/5

Answer:

8/10 ( you didnt say how much questions there were)

Step-by-step explanation:

As a fraction, 80/100 simplifies to be 8/10. ( 10 can go into 80, 8 times and 10 can go into 100, 10 times)

So, if Brianna had 10 questions on the test and answered 80% correctly, take the numerator of this simplified fraction and that's the answer

ANSWER: 8

Brianna got 8 questions correct

Hope this helps you. Plz mark Brainliest if u want to!  :)  

Answer:

As an area can be any shape, there is no formula for finding length and breadth when given area But if you have a rectangle Area = length × breadth Which can be rearranged to give Bread

Step-by-step explanation:

Answer:

it is 15m wide.

Step-by-step explanation:

i dont know what "Cind the are of ther​" means, but

15*24=360

10*20=240  +  5*24=120  =  15*24=360

Answer:

12

Step-by-step explanation:

5+3+4=?

8+4=?

12

Answer:

15 nights

Step-by-step explanation:

187+26n=577

-187          -187

     26n=390

divide 26 on both sides

         n=15

Answer:

45

Step-by-step explanation:

0.45 x [tex]10^{2}[/tex]

[tex]10^{2}[/tex] = 100

0.45 x 100 = 45

Answer:

x-70

Step-by-step explanation:

Answer:

X-7

Step-by-step explanation:

Answer:

There is no specific answer

Step-by-step explanation:

It depends on how much it costs per pound.

Answer:

2 x 2 x 2 x 3 x 5

OR

(2 exponent 3) x 3 x 5

Step-by-step explanation:

24 x 5 = 120

120 prime factorization is: (I did on calculator) 2 x 2 x2 x3 x5

Hope that helps! Plz make brainleist!

33.3% is the answer, I think

20/60 ---> 1/3, covert this to a percentage and it equals 33.3%

Answer:

10x-22

Step-by-step explanation:

collect like terms

Answer:

10x - 22

Step-by-step explanation:

Combine like terms

4x - 22 + 6x  = 4x + 6x - 22

                     = 10x - 22

The possible answer is the first choice because thats how you  do a equation

The first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

Given the system of equations

4x − 3y = 34

3x + 2y = 17

In order to eliminate, the first equation should be multiplied by 2 and the second equation by 3 and then we can add since the sign are different,.

Learn more on system of equation here:https://brainly.com/question/25976025

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Answer:

Step-by-step explanation:

We will find the fourth root of both sides, which for x⁴ is simply going to be 4. For the other side, we will need to find the 4th root of 16. This can found in one of two ways.

Take the square root of 16, which and 4, and square root it again to get 2.

Use the calculator to find the 4th root of 16, which also comes out to be 2.

Answer:

$85

Step-by-step explanation:

Answer:

the new amount would be $85

Step-by-step explanation:

you do $65 and add 20 because it increased 20

can you please mark me brainlest I would mean a lot

Answer:

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Step-by-step explanation:

Consider the tetrahedron enclosed by the coordinate planes and the plane 2x + y + z = 2

Let A be the region obtained by projecting the volume(V) onto the xy-plane.

Similarly, the plane 2x + y + z = 2 intersects with the xy-plane in y = 2 - 2x.

Using the vertical strips, the region A is to the xy-plane can be expressed as:

[tex]A = \{(x,y) | 0 \le x \le 1, 0 \le y \le 2 - 2x\}[/tex]

Thus, the volume of the solid can be calculated as follows;

[tex]V = \int^1_0 \int ^{2-2x}_{0} \int ^{2-2x-y}_{0} \ dz \ dy \ dx[/tex]

[tex]V = \int^1_0 \int ^{2-2x}_{0} (2-2x-y) \ dy \ dx[/tex]

[tex]V = \int^1_0 \bigg [2\times y -2x\times y - \dfrac{y^2}{2} \bigg]^{2-2x}_{0} \ dx \[/tex]

[tex]V = \int^1_0 \bigg [2\times (2-2x) -2x\times (2-2x) - \dfrac{(2-2x)^2}{2} \bigg]\ dx[/tex]

[tex]V = \int^1_0 \bigg [2x^2-4x+2 \bigg]\ dx[/tex]

[tex]V = \bigg [2\dfrac{x^3}{3}-\dfrac{4x^2}{2}+2 x\bigg]^1_0[/tex]

[tex]V = \bigg [2\dfrac{(1)^3}{3}-\dfrac{4(1)^2}{2}+2 (1)-0\bigg][/tex]

[tex]V = \dfrac{2}{3}- 2 + 2[/tex]

[tex]\mathbf{V = \dfrac{2}{3}}[/tex]

Answer:

The answer is x=4 and y=−2

Answer:

B (1,6)

Step-by-step explanation:

I don't know if I'm right

Given :

A complex number z = 10 - 13i .

To Find :

Which  quadrant will the complex number (10 - 13i) be  found.

Solution :

Coefficient of real part of complex number, r = 10.

Coefficient  of imaginary part of complex number, i = -13.

Since, the coefficient of imaginary part is -ve and real part is +ve .

Therefore, the complex number is in 4th quadrant.

Hence, this is the required solution.

When graphing on the complex plane, the complex number will be in the 4th quadrant.

The standard form of expressing complex numbers is expressed z = x + iy

x is the real axis (x-axis on the coordinate point)

y is the imaginary axis (y-axis on the coordinate plane)

Given the complex number z = 10 - 13i, this shows that the imaginary axis is a negative value while the real axis is a positive value.

This shows that when graphing on the complex plane, the complex number will be in the 4th quadrant.

Learn more here: https://brainly.com/question/12375854

Answer:

y-7=-11(x-5)

Step-by-step explanation:

y-Y^1=mx-X^1