Given the system of equations:
2x + 3y = 15
X + 3y = 0
What is x?

-15
-5
0
5
15​

Answer:

[tex]\sqrt{125}[/tex]

Step-by-step explanation:

Use Pythagorean theorem since you have a right triangle [tex]15^{2}[/tex] = [tex]10^{2} + x^{2}[/tex]

225 = 100 + [tex]x^{2}[/tex] so x = [tex]\sqrt{125}[/tex]

Answer:

x = 5[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

x² + 10² = 15²

x² + 100 = 225 ( subtract 100 from both sides )

x² = 125 ( take the square root of both sides )

x = [tex]\sqrt{125}[/tex] = [tex]\sqrt{25(5)}[/tex] = 5[tex]\sqrt{5}[/tex] ← in simplest radical form

Answer:

see below

Step-by-step explanation:

cos  = adj/ hypotenuse

Cos A = 30 /34

Simplifying

Cos A = 15/17

Answer:

15 days

Step-by-step explanation:

Answer:

Exact answer: 5.22727 times

Rounded: About 5 times.

Step-by-step explanation:

264/3=88

440/88=5.22727

~about 5 times

Complete Question

The interior angle sum of a convex polygon is 2520.How many sides does the polygon have?

Answer:

16 sides

Step-by-step explanation:

The sum of angles in a polygon formula is given as:

(n - 2)180°

Where n = Number of sides of the polygon

Hence:

(n - 2)180°= 2520°

Divide both side by 180°

(n -2) = 2520/180

n - 2 = 14

n = 14 + 2 = 16

Therefore the number of sides the convex polygon has 16 sides.

Answer:

This system has infinite number of solutions.

Step-by-step explanation:

It has 2 variables.

Answer:

Scale factor  = 3

Step-by-step explanation:

Using similar triangles

AT/AG = AB/AC

9/3 = x+10/3x-10

Cross multiply

3(x+10) = 9(3x-10)

Expand

3x+30 = 27x-90

3x-27x = -90 - 30

-24x = -120

x = 120/24

x = 5

For the larger triangle;

AC = 3x-10

AC = 3(5)-10

AC =15-10

AC = 5

AB = x+10

AB = 5+10

AB = 15

For the scale factor;

Since AT/AG = AB/AC

9/15 = 3/5

3*3/5*3 =3/5

Since the numerator and denominator of the larger triangle is multiplies by the same factor i.3 3. Hence the scale factor is 3

Answer: 6

Step-by-step explanation:

2+4=6

Start by assigning a variable name to the "number" -- call it x.

Now write out what they say:

"The product of 1/3 and the sum of a number and 3" -- that's 1/3 times x + 3, or (1/3)(x + 3) or (x + 3) / 3

It's "between negative one and five"

So that means:

-1 < (x + 3) / 3 < 5

So now solve this inequality.  First multiply everything by 3.

-3 < x + 3 < 15

Subtract 3 from all the terms:

-6 < x < 12

So the answer is, all numbers between -6 and 12

Answer:

I think it's 16

Step-by-step explanation:

The expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

In order to calculate the expression, we need to use the PEMDAS rule which states:

From the question, we are to get the expression equal to 13.

From the given expression,(18 ÷ 2) + 6 ÷ 6 + 3 is equivalent to 13;

(18 ÷ 2) + 6 ÷ 6 + 3

9 + 6  ÷ 6 + 3

9 + 1 + 3

13

Hence the expression that has a value of 13 is (18 ÷ 2) + 6 ÷ 6 + 3

Learn more on expansion here: https://brainly.com/question/26430239

Answer:

Step-by-step explanation:

120 = 2x + 70

120  - 70 = 2x + 70 - 70

50 = 2x

50/2 = 2x/2

x = 25

Answer:

12.5 miles

Step-by-step explanation:

5/2 inch*5 miles/ i inch= 25/2 miles or 12.5 miles

if my anwer helps please mark as brainliest.

Answer:

£18.06

Step-by-step explanation:

The computation of her pay per hour is shown below:

= Total earnings last year ÷ Total number of hours she worked

= £27,000 ÷ (32.5 hours × 46 weeks)

= £27,000 ÷ 1,495 hours

= £18.06

Answer:

That would be 4/5. A reciprocal is just a fraction inverted, pretty much.

Answer:

The coordinates of the new triangle would be (2,2), (-1,0) and (-2,4)

Answer:

Y=1x+7

Step-by-step explanation:

y=mx+b

m: slope

b: y axis

Answer:

3 adjacent

4. complementary

Answer: 80

Step-by-step explanation:

If you look at the top left and bottom right corner, you see that they are identical, so basically you would do the same to 80.

Well lets see...

Solution 1. The sum of angles of a quadrilateral is 360˚ 100˚+100˚+80˚=280 degrees 360˚-280˚=80˚.

Solution 2. Opposite angles on a parallelogram are equal so x=80˚.

HOPE THIS HELPED!!!!!!!!!!

Answer:

I got 25.6cm² but I could be wrong

Answer:

x=4√5

y=12

z=6√5

is your answer look it once

Answer:

C. x = 1

Step-by-step explanation:

Combine like terms

10 + 2 − 3 = 9

12 − 3 = 9

Add 3 to both sides of the equation

12 − 3 + 3 = 9 + 3

Add the numbers

12 = 9 + 3

12 = 12

[tex]\frac{12x}{12} = \frac{12}{12}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]x = \frac{12}{12}[/tex]

Divide the numbers

x = 1

Therefore the correct answer is C. x = 1

Answer:

C. x = 1

Step-by-step explanation:

Have a great day

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

9514 1404 393

Answer:

  39 units

Step-by-step explanation:

The angle markings tell you this is an equilateral triangle, so all sides are the same length.

  10x -11 = 2x +29

  8x = 40

  x = 5

Then the side length is ...

  2x +29 = 2·5 +29 = 39

The length of side KL is 39 units.

Answer:

-8

Step-by-step explanation:

Correct me if i'm wrong

Here is my answer. I hope this is helpful.

Answer:

k = 3.33

Step-by-step explanation:

x = 2

y = 3

x - ky + 8 = 0

2 - k(3) + 8 = 0

2 - 3k + 8 = 0

10 - 3k = 0

-10         -10

-3k = -10

k = 3.33

Answer:

x−ky+8=0=k=x/y+8/y

k=2/3+8/3 =3.266

Step-by-step explanation: