The sum of two numbers is 116 and their difference is 18. Find the larger number.

Answer:

we need 2 equations to solve by elimination

Answer:

Step-by-step explanation:

for x

3x + y = -1

subtract 3x from both sides

y = -3x - 1

answer

for y

3x + y = -1

subtract y on from both sides

3x = -y -1

divide by 3

x = -1/2y - 1/3

answer

Answer:

-4

Step-by-step explanation:

Slope intercept form is

-y = Mx + b

Answer:

A belt costs $15 and a wallet costs $27.

Step-by-step explanation:

Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:

x + y = $42

7x + 4y = $213

The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:

-4x - 4y = -168

7x + 4y = 213

Now, we simply add these two equations up:

-4x - 4y + 7x + 4y = -168 + 213

3x = 45

x = $15

Now, we plug in x into any of the two starting equations to find y:

x+y=42

15 + y = 42

y = $27

Answer:

0.

-12 + 12 = 0

Step-by-step explanation:

3(-4) + 6(2) (multiply)

-12 + 12 = 0

Answer:

18,075

Step-by-step explanation:

6555+4225+7295=18,075

Answer:

192in

Step-by-step explanation:

Answer:

yes  

Step-by-step explanation:

Answer:

Contrapositive: if a polygon does not have more than 3 sides, then it is a triangle. Since it is a true statement, the contrapositive is a true statement, the original statement must be a true statement.

Step-by-step explanation:

Original statement: if a polygon has more than three sides, then it is not a triangle.

Let P = a polygon has more than three sides

Let Q = it is not a triangle

Conditional statement: If P, then Q

Contrapositive statement: if not P, then not Q.

If a conditional statement is true, then the contrapositive is true.

If a contrapositive statement is true, then the contrapositive is true

Answer:

the answer is C

Step-by-step explanation:

Answer:

410

Step-by-step explanation:

Answer:

[tex]B = 108[/tex]

[tex]C = 36[/tex]

[tex]D = 36[/tex]

Step-by-step explanation:

Given

[tex]B =13x - 35[/tex]

[tex]C = 5x - 19[/tex]

[tex]D=2x+14[/tex]

[tex]BC = BD[/tex]

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

[tex]B + C + D = 180[/tex]

Since [tex]BC = BD[/tex], then [tex]C = D[/tex]

[tex]B + C + D = 180[/tex] can then be rewritten as:

[tex]B + C + C = 180[/tex]

[tex]B + 2C = 180[/tex]

Substitute values for B and C

[tex]13x - 35 + 2(5x - 19) = 180[/tex]

Open Bracket

[tex]13x - 35 + 10x - 38 = 180[/tex]

Collect Like Terms

[tex]13x + 10x = 180 + 38 + 35[/tex]

[tex]23x= 253[/tex]

Divide both sides by 23

[tex]x = 11[/tex]

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

[tex]B =13x - 35[/tex]

[tex]B = 13 * 11 - 35[/tex]

[tex]B = 108[/tex]

[tex]C = 5x - 19[/tex]

[tex]C = 5 * 11 - 19[/tex]

[tex]C = 36[/tex]

[tex]D=2x+14[/tex]

[tex]D = 2 * 11 + 14[/tex]

[tex]D = 36[/tex]

The measure of m<B, m<C and m<D are 108, 36 and 46 respectively

From the triangle BCD, if BC=BD, then

m<C = m<D (Base angles are equal)

Given the following paramters:

Hence;

5x - 19 =2x + 14

5x- 2x = 14 + 19

3x = 33

x = 11

m<B = 13x - 35

m<B = 13(11) - 35

m<B = 108 degres

m<C = 5x - 19

m<C = 55- 19

m<C = 36

m<D = 180 - 144

m<D = 36 degreees

Hence the measure of m<B, m<C and m<D are 108, 36 and 46 respectively

learn more on angles here: https://brainly.com/question/16281260

Answer:

the answer is the first one!

because if x=-3 we know that |x|=|-3|=3

Answer:

tan x

Step-by-step explanation:

Using the trigonometric identities

secx = [tex]\frac{1}{cosx}[/tex] , cosecx = [tex]\frac{1}{sinx}[/tex] , then

[tex]\frac{secx}{cosecx}[/tex]

= [tex]\frac{\frac{1}{cosx} }{\frac{1}{sinx} }[/tex]

= [tex]\frac{1}{cosx}[/tex] × sinx

= [tex]\frac{sinx}{cosx}[/tex]

= tan x

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

1800 divded by 20=90

Step-by-step explanation:

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

Answer:

60

Step-by-step explanation:

había multiplicado 4 y 15 espero que esto ayude

Answer:

I don't really understand it very well

It will take 10 people working 10 hours per day about 2.5 days to make 10 units of the product.

From the statement of the question; 15 people working 5 hours per day can make 30 units of a product in 10 days. Hence, the number of units that can be made in a day is;

Number of units per day = (15*5*10)/30

= 25 units/day

Now; if 10 people make 10 units, working 10 hours per day, it will take them x number of days.

x =  (25*10)/10*10

x = 2.5 days

Learn more: https://brainly.com/question/22873736

Answer:

Area of the circle ≈ 907.92 yd²

Step-by-step explanation:

Diameter of circle = 34 yd

Radius = ½(34) = 17 yd

Area of a circle = [tex] \pi r^2 [/tex]

Area of the circle = [tex] \pi \times 17^2 [/tex]

= [tex] \pi \times 289 [/tex]

Area of the circle ≈ 907.92 yd² (approximated bro 2 d.p)

Answer: Water: The battle between the clean vs the dirty :P

Step-by-step explanation:

Answer:

....

Step-by-step explanation:

Answer:

1,436

Step-by-step explanation:

First multiply the growth rate by the number of hours.

3.25 x 5 = 16.25

Now multiply 1,235 by 100. = 123,500

And also multiply 1235 by the remainder percentage not being used(83.75)= 103,060.75

Now subtract 123,500 - 103,060.75 = 20,439.25

Divide this number by 100 = 204.3925 which is what 16.25% of 1,235 is.

1,235 + 204 = about 1,439 but since i rounded up a few times the answer is actually 1,435.6875 rounded up to 1,436

Answer:

8°

Step-by-step explanation:

The laws of angles say that angles opposite the vertex (as in this case) are equal

So

(7x + 15)° = (9x - 1)°

let's remove the ° just so as not to get confused

7x + 15 = 9x - 1

To solve we must move the Xs on one side of the = sign and the free numbers on the other. For that, we must do the same operations on both sides. If we subtract from one, from the other also, and so on.

So we are going to substract 15

(7x + 15) - 15 = (9x - 1) -15

It result:

7x = 9x - 16

We are going to substract 9x

(7x) - 9x = (9x - 16) - 9x

It result:

7x - 9x = -16

-2x = -16

We are going to change the signs (ON BOTH SIDES)

2x = 16

x = 8

now we have the value of X

we substitute x in the equations

7(8) + 15 = 9(8) - 1

56 + 15 = 72 - 1

71 = 71

So, the angles are 71°

Answer:

y=mx+b hope this helps

Step-by-step explanation:

Answer:

11/36

Step-by-step explanation:

Answer:

4,5,6,7,8,9..........................

Answer:

Step-by-step explanation:

Its D