What is the solution to this system of linear equations?
y − x = 6
y + x = −10

a. (−2, −8)
b. (−8, −2)
c. (6, −10)
d. (−10, 6)

Sum of all angles in a triangle = 180°

Which means :-

∠1 + ∠2 + ∠3 = 180°

[tex]2x + x + x + 8 = 180°[/tex]

[tex]4x + 8 = 180°[/tex]

[tex]4x = 180 - 8[/tex]

[tex]4x = 172[/tex]

[tex]x = \frac{172}{4} [/tex]

[tex]x = 43[/tex]

Angle 1 :-

= 2x

= 2 × 43

Angle 2 :-

= x

Angle 3 :-

= x + 8

= 43 + 8

[tex]therefore \: , \: the \: value \: of \: x = 43°[/tex]

Answer:

r = [tex]\frac{t}{d}[/tex]

Hope this helps!!

Step-by-step explanation:

d=rt can be substituted for t=d/r

Answer:

0.26=13/50 0.79=79/100

Step-by-step explanation:

All decimals are over a number in the power of ten. If you say the decimals out loud you would say "26 hundredths " and "79 hundredths" so you place the decimals over 100 and then simplify.

Answer: 12/50 and 79/100

Answer:

Step-by-step explanation:

here it's on question 4

Answer: a=3

Step-by-step explanation: add 63 to both sides. Then divide both sides by 9 to get a=3.

Answer:

21

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(1,3) and (0,−9)

The slope is

[tex]m = \frac{ - 9 - 3}{0 - 1} = \frac{ - 12}{ - 1} = 12 \\ [/tex]

We have the final answer as

Hope this helps you

The slope of the line would be 12.

Answer:

eight and seventeen hundredths

Step-by-step explanation:

Answer:

they drink 1 gallon every 6 days, 2 gallons in 12 days. You never specified what rate you wanted the answer in so the answer could vary.

Step-by-step explanation:

NUMBER 1: -5

NUMBER 2:

-5,0 I think the first one is right tho

Answer:

$3

Step-by-step explanation:

To find the value of the tip, multiply 200 by 15%.

200 x 15% = 30

Divide the tip by the number of people at the dinner (Carrie plus 9 friends = 10 people)

30 / 10 = 3

Each person should contribute $3 toward the tip.

Each person will contribute $23.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Bill= $200

Tip= 15%

So, the amount of bill be paid after tip

= 200+ 200 x 15%

= 200+ 200 x 15/100

= 230

Now, each of them have to pay

= 230/ 10

= $23

Hence, Each of them paid $23.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

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Answer:  Angles are supplementary if and only if their sum is 180° is true.

Step-by-step explanation:

Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180°  This is also true.

Answer:

3/7 and 2/9 are repeating decimals.

Step-by-step explanation:

Answer:

582

Step-by-step explanation:

Answer:

Median is 28

Step-by-step explanation:

Median is 28 smallest value is 8

Answer:

x equals to 9

9

x is 9

x is 9

Answer:

3/4 feet or 0.75 feet.

Step-by-step explanation:

12 feet - 10.5 feet is 1.5 feet.

1.5 / 2 is 0.75 of a feet.

3/4 feet

Hope this helps.

Answer:

f(11) = 118

Step-by-step explanation:

f(x) = x squared - 3    f(11)

f(x) = 11 squared -3    exponents first:

f(x) = 121 - 3

f(11) = 118

Hope this helped :)

Answer:

x = 25

Step-by-step explanation:

3x + 5 + 5x - 25 = 180 (collect like terms)

8x - 20 = 180 (add 20 on both sides)

8x = 200 (divide by 8 on both sides)

x = 25

Since they are supplementary that mean together they add up to 180 so that's why I added them together.

Step-by-step explanation:

Solution,

since two of these triangle are similar so,

i) LK/LJ=MN/NO

or,j/8=18/12

or,j=18×8/12

.°. j = 12m

ii)JK/JL=MO/NO

or,10/8=n/12

or,120/8=n

.°.n=15m

Answer:

124568

865421

Step-by-step explanation:

please give 5 stars then i will say the rest

Answer:

The answer is matter.

The equivalent expression of 7¹² × 7⁴ is  7¹⁶.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

It is a relation of the form y = aˣ  in mathematics, where x is the independent variable

We have to determine the equivalent expression for 7¹² × 7⁴

⇒ 7¹² × 7⁴

⇒ 7⁽¹²⁺⁴⁾

⇒ 7¹⁶

Therefore, the equivalent expression of 7¹² × 7⁴ is  7¹⁶.

Learn more about the exponential function here:

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Step-by-step explanation:

An equilateral triangle is a triangle with three equal sides. The perimeter of an equilateral triangle varies directly with the length of one side. What is an equation that relates the perimeter p and length of a side?

See, let us consider the sides as l as per question.

And, perimeter as p as per question.

We know that:-

The sum of all the boundary gives us the perimeter of the figure.

It is Equilateral Triangle, so the equation will be:-

[tex]l + l + l = p[/tex]

Now, adding it up, we get

[tex]3l = p[/tex]

So, 3l=p relates the side and perimeter.

Hope it helps :)

Answer: Answer:

Human trafficking is a modern form of slavery. It is an extreme form of labor exploitation where women, men and children are recruited or obtained and then forced to labor against their will through force, fraud or coercion.

Step-by-step explanation:

Answer:

not rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

119/8 is it in fractional form.