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tatuchka [14]
2 years ago
5

6. Find the value of x. 120 6x​

Mathematics
1 answer:
Virty [35]2 years ago
3 0
Both angles are vertical angles. According to the Vertical Angles Theorem, vertical angles are congruent. Therefore:
6x°=120° [Vertical Angles Theorem (vertical angles are Congruent)].
6x/6=120/6 [Division P.O.E]
x=20.

Therefore, if x=20, then:
6(20)=120 [Substitution P.O.E.
120=120 [Symmetric P.O.E]

And thus,
x=20
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Andru [333]
5d - 7 = -13
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3 0
2 years ago
PLZ HELP...Enter in standard form the equation of the line passing through the given point and having the given slope.
Alenkinab [10]

Standard form for the equation of the line is

$y=-\frac{2}{3} x-\frac{25}{3}

Solution:

Given point is (2, –5).

slope of the line m = -\frac{2}{3}

Here, x_1=2, y_1=-5

Equation of a line passing through the point:

y-y_1=m(x-x_1)

$y-(-5)=-\frac{2}{3} (x-(-5))

$y+5=-\frac{2}{3} (x+5)

$y+5=-\frac{2}{3} x-\frac{10}{3}

Subtract 15 from both sides of the equation.

$y+5-5=-\frac{2}{3} x-\frac{10}{3}-5

$y=-\frac{2}{3} x-\frac{25}{3}

Standard form for the equation of the line is

$y=-\frac{2}{3} x-\frac{25}{3}

7 0
3 years ago
7 (1) = 7 is an example of what property?
Kitty [74]

Answer:

Identity property

Step-by-step explanation:

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

I hope it's helpful!

5 0
2 years ago
In a recent survey, 40 percent indicated chocolate was their favorite flavor of ice cream. Suppose we select a sample of twelve
worty [1.4K]

Answer:

4 people name chocolate

Step-by-step explanation:

Let's first understand the given information.

The survey shows that 40 percent of a finite number of people name chocolate as their favorite flavor of ice cream. Because the survey is reporting a percentage, then 40% means that from 100 people 40 people name chocolate, while the others name a different type of flavor.

Dividing the total of people (100) by the ones who name chocolate (40) then we have:

100/40 = 2.5

Through the above equation we are actually expressing the following:

Total people = 2.5 * (people who name chocolate flavor)

Using this equation if we have now 12 people:

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4.8 = people who chose chocolate flavor

Because we can't have 0.8 of a person, then if we have a sample of 12 people, we will expect that 4 of them name chocolate.

5 0
3 years ago
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