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3 years ago

Find the value of x, and please use explanation for each answer

Mathematics

2 answers:

Ronch [10]3 years ago

5 0

Look at picture for explanation

Paraphin [41]3 years ago

3 0

Answer:

24; 118; 102

Step-by-step explanation:

Starting from A: there are two ways. One, is a theorem that says "the amplitude of the external angle of a triangle is equal to the sum of the amplitudes of the two angles not sharing the vertex". Which translates to the equation $62= x+(x+14)$ which has solution $x=24°$ .

Problem B is a red herring: x and 118° are corresponding angles related to the two parallel lines with a transversal, and they have the same amplitude, thus $x=118°$

Finally, letter C : you know the sum of the internal angles of a triangle is 180°. It means that $41 + 37 + x = 180$ or, with simple calculations (subtract 41 and 37 from both sides) $x= 102°$

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The area of rectangular kitchen tile is 6x^2-8x-30. The width is 2x-6.

mrs_skeptik [129]

Answer:

L=6x^2-4x+5

P=12x^2-4x-2

Step-by-step explanation:

A=WL

So, we know the area is 6x^2-8x-30 and the width is 2x-6

Substitute

(6x^2-8x-30)=(2x-6)(L)

L=(6x^2-8x-30)/(2x-6

Divide

L=6x^2-4x+5

P=2L+2W

Substitute

P=2(6x^2-4x+5)+2(2x-6)

P=12×^2-8x+10+4x-12

Simplify

P=12x^2-4x-2

7 0

3 years ago

Can someone pls help me with this? I will give 20 points

Ierofanga [76]

Okay here we go!

The answer is D.

Because when you solve the equation you get 2 and that means the arrow has to be or end at 2.

HOPE THIS HELPED! :)

4 0

3 years ago

On average and adult rest of it breathes in and out 12 times per minute about how many breaths will an adult take in a day?

Firlakuza [10]

Ques 1: 1min->12 breathsl
24*60=1440->12*24*60=17280breaths
answer : 17280 breaths
ques 2: 2 weeks(6*2=12days) -> 2808
1 day->2808/12=234 miles
answer :234 miles

8 0

3 years ago

What is the equation of a line that passes through the point?

Artist 52 [7]

<h3>Answer: 3x-2y = 5 (choice A)</h3>

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

m = (y2 - y1)/(x2 - x1)

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0

3 years ago

Write the equation of the line that passes through the points (2,2) and (3,4)

Scrat [10]

9514 1404 393

Answer:

y -2 = 2(x -2)

Step-by-step explanation:

The slope of the line is given by the slope formula:

m = (y2 -y1)/(x2 -x1)

m = (4 -2)/(3 -2) = 2/1 = 2

The point-slope form of the equation for the line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For the first point and the slope we found, the equation is ...

y -2 = 2(x -2)

You can rearrange this to any form you may like.

y -2 = 2x -4 . . . eliminate parentheses

y = 2x -2 . . . . . slope-intercept form

2x -y = 2 . . . . . standard form

8 0

3 years ago