5(x - 1) = 2(x – 4) – 6

Mathematics

1 answer:

creativ13 [48]3 years ago

3 0

Answer:

x=-3

Step-by-step explanation:

5 x - 5 is equal to 2x minus X Minus x 5 x - 2 x is equal to 5 - 8 - 6 x over 3 - -9/3 you get x is equals to - 3

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What is the relationship between angle BAC and angle BOC?

Basile [38]

In this problem, an angle like angle BAC where the vertices like on the circle itself is called the inscribed angle.

While angle BOC, where O is the center of the circle, is called the central angle.

Using Proposition III.20 from Euclid's Elements, this is called the Inscribed Angle Theorem wherein:

∠BOC = 2∠BAC

or ∠BOC / 2 = ∠<span>BAC</span>

3 0

3 years ago

Jeremy is driving to his friends house that is 60 miles away from his home the scale on Jeremy's map is 1 1/2 inches equivalent

defon

Answer:

The distance between their house on the map is 10 inches.

Step-by-step explanation:

In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:

$d = 1\frac{1}{2} = 1 + \frac{1}{2} = \frac{2}{2} + \frac{1}{2} = \frac{3}{2}$

Creating the rule of three:

$\frac{60}{9} \frac{\text{miles}}{\text{miles}} = \frac{x}{\frac{3}{2}} \frac{\text{inches}}{\text{inches}}\\\\9*x = \frac{60*3}{2}\\\\x = \frac{180}{18}\\\\x = 10 \text{ inches}$