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Nitella [24]
3 years ago
7

6. In the figure below, measure of angle 1 = 3x + 5, measure of angle 2 = 5x - 18, and measure of angle 3 = 7x-2

Mathematics
1 answer:
Lesechka [4]3 years ago
4 0
See photo for solution and mark me as brainliest if i helped :)

A: although it seems like they are forming a 90º angle, they actually add up to a 89 º angle and therefore are not complementary

B: see photo

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Solve the following system by the elimination method.1/3x+y=0/3 and 1/6x+1/5y=9/10
tatiyna

Answer:

<h2>x = 9 and y = -3 → (9, -3)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}\dfrac{1}{3}x+y=\dfrac{0}{3}&\text{multiply both sides by 3}\\\\\dfrac{1}{6}x+\dfrac{1}{5}y=\dfrac{9}{10}&\text{multiply both sides by 30}\end{array}\right\\[tex]\left\{\begin{array}{ccc}x+3y=0&\text{multiply both sides by (-2)}\\5x+6y=27\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-2x-6y=0\\5x+6y=27\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad3x=27\qquad\text{divide both sides by 3}\\.\qquad\boxed{x=9}\\\\\text{Put the value of x to the first equation:}\\\\9+3y=0\qquad\text{subtract 9 from both sides}\\3y=-9\qquad\text{divide both sides by 3}\\\boxed{y=-3}[/tex]

6 0
3 years ago
A box contains six black pens, four blue pens, and seven red pens. Without
Nana76 [90]

21 total pens

- 1 red pen

20 pens total

6/20 red pens left

6/20 = 3.3333

= 3.3

8 0
3 years ago
Which expression is equivalent to (10x)–3? StartFraction 10 Over x cubed EndFraction StartFraction 1000 Over x cubed EndFraction
Rufina [12.5K]

The expression which is equivalent to the provided expression of variable x is,

\dfrac{1}{1000x^3}

<h3>What is the equivalent expression?</h3>

Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.

The given expression in the problem is,

(10x)-3

Let the equivalent expression of this expression is f(<em>x)</em>. Thus,

f(x)=(10x)^{-3}

The number, with negative power, can be written in the fraction of 1 with the same but positive power or exponent. Therefore,

f(x)=\dfrac{1}{(10x)^{3}}

Solve it further as,

f(x)=\dfrac{1}{(10)^3(x)^{3}}\\f(x)=\dfrac{1}{1000x^3}

Hence, the expression which is equivalent to the provided expression of variable x is,

\dfrac{1}{1000x^3}

Learn more about the equivalent expression here;

brainly.com/question/2972832

4 0
2 years ago
Simplify the ratio 18:45
Lina20 [59]

Answer:

5:2

Step-by-step explanation:

18 and 45 are both multiples of nine, so I divided both sides by nine.

18/9 = 2

45/9 = 5

5 and 2 are prime numbers, so you can't simplify any further.

7 0
3 years ago
Read 2 more answers
A survey taken of 140 sports fans asked the question: "What is the most you have ever spent for a ticket to a sporting event?" T
Zarrin [17]

The IQR is 150 - 130 = 20. Using the 1.5(IQR) criterion we get 130 -1.5(20) = 100. Since the smallest observation of 85 is smaller than 100, it should be considered an outlier

8 0
3 years ago
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