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IrinaVladis [17]
2 years ago
14

Find the size of angle X.

Mathematics
1 answer:
hodyreva [135]2 years ago
3 0

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

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Hi everyone can someone please help with this problem?
erik [133]
You need to use the equation (secant)(exterior)=(secant)(exterior).
Learned about this today.
8 0
3 years ago
What two numbers multiply to 44 and add up to 12?
djverab [1.8K]
This pattern of question is always coming up. Since we can't easily guess, then let us set up simultaneous equation for the statements.

let the two numbers be x and y.

Multiply to 44.      x*y = 44 ..........(a)

Add up to 12.      x + y = 12 .........(b)

From (b)

y = 12 - x .......(c)

Substitute (c) into (a)

x*y = 44

x*(12 - x) = 44   

12x - x² = 44

-x² + 12x = 44

-x² + 12x - 44 = 0.       

Multiply both sides by -1

-1(-x² + 12x - 44) = -1*0

x² - 12x + 44 = 0.   

This does not look factorizable, so let us just use quadratic formula

comparing to ax² + bx + c = 0, x² - 12x + 44 = 0,  a = 1, b = -12, c = 44 

x = (-b + √(b² - 4ac)) /2a   or (-b - √(b² - 4ac)) /2a


x = (-(-12) + √((-12)² - 4*1*44) )/ (2*1)    

x = (12 + √(144 - 176) )/ 2

x = (12 + √-32 )/ 2

√-32 = √(-1 *32) = √-1 * √32 = i * √(16 *2) = i*√16 *√2 = i*4*√2 = 4i√2

Where i is a complex number.  Note the equation has two values. We shall include the second, that has negative sign before the square root.

x = (12 + √-32 )/ 2      or     (12 - √-32 )/ 2   

x = (12 + 4i√2 )/ 2              (12 - 4i√2 )/ 2 

x = 12/2 + (4i√2)/2                12/2 - (4i√2)/2

x = 6 + 2i√2            or         6 - 2i√2

Recall equation (c):

y = 12 - x, When x = 6 + 2i√2,  y = 12 - (6 + 2i√2) = 12 - 6 - 2i√2 = 6 - 2i√2

When x = 6 - 2i√2,  y = 12 - (6 - 2i√2) = 12 - 6 + 2i√2 = 6 + 2i√2


x = 6 + 2i√2,  y = 6 - 2i√2

x = 6 - 2i√2,  y = 6 + 2i√2

Therefore the two numbers that multiply to 44 and add up to 12 are:

6 + 2i√2 and 6 - 2i√2
8 0
3 years ago
Read 2 more answers
What is the approximate distance between the points (1,-2) and (-9,3) on a coordinate grid
jeka57 [31]

<u>Answer</u>

5\sqrt{5} ≈ 11.1803398874989485


<u>Detailed Explanation </u>


We will be using the distance formula for this problem


\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}


Now, let's input the numbers into the formula.


\sqrt{\left(-9-1\right)^2+\left(3-\left(-2\right)\right)^2}


Solve.


Therefore, the distance between the two points is

5\sqrt{5} ≈ 11.1803398874989485

3 0
3 years ago
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Solve the absolute value equation or indicate that the equation has no solution.|2x - 3= 7Select the correct choice below and, i
Whitepunk [10]

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

In the question, we are looking at the absolute value function which says that:

Based on this, we have that:

undefined

5 0
1 year ago
I’ll give the Brainliest to who answers this question with a reasonable explanation.
Lyrx [107]
$40/12 = unit rate simplify = 10/3
$10/3 per book
18 * 10/3 = $60 for 18 copies
5 0
2 years ago
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