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2 years ago

How do you find the value of x for this figure?

Mathematics

1 answer:

Studentka2010 [4]2 years ago

6 0

The 2 lines intersect, and by definition it will create equal opposite angles. Since we know that the angle created is 125 degrees, then the angle on the opposite side also must equal 125 degrees. But wait, they broke up the angle into 2 angles made up of a 64 degree angle and an X degree angle. These 2 angles must add up to 125 degrees.

x + 64 = 125
x = 125 - 64
x = 61 degrees

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Sum of three like fractions is 18/11. the first 2 fractions are 1/11 and 9/11. find the third fraction.

Mariulka [41]

Answer:

$\frac{8}{11}$

Step-by-step explanation:

Since the fractions are like, their denominators are 11, then

consider the values that sum to give 18 , that is

1 + 9 + ? = 18

10 + ? = 18 ( subtract 10 from both sides )

? = 8

Then the third fraction is $\frac{8}{11}$

5 0

2 years ago

A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?

Vladimir [108]

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus ( $v$ ), in kiometers per hour, is determined by following kinematic expression:

$v = \frac{s}{t}$ (1)

Where:

$s$ - Travelled distance, in kilometers.

$t$ - Time, in hours.

If we know that $s = 2.45\,km$ and $t = 0.033\,h$ , then the speed of the bus is:

$v = \frac{s}{t}$

$v = 74.242\,\frac{km}{h}$

The speed of the bus is 74.242 kilometers per hour.

7 0

2 years ago

Factor completely:<br>64 - y^3

madam [21]

From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is $4^{3}$ , and $y^{3}$ .

There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.

That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are $a^{3}$ and $b^{3}$ . The difference of those two cubes is:
$a^{3} - b^{3} = (a - b)( a^{2} + ab + b^{2})$

In our problem, a = 4 (since $a^{3}$ = 64) and b = y (since $b^{3} = y^{3}$ . Plug these values into the rule to find the factor of $64 - y^3$ :
$64 - y^3 \\
= (4 - y)( 4^{2} + 4y + y^{2}) \\
= (4 - y)( 16 + 4y + y^{2})$

-----

Answer: $(4 - y)( 16 + 4y + y^{2})$

8 0

2 years ago

Need help <br><br>True or False

EleoNora [17]

The answer to this question is false because it cannot still be both negative after you reflect over two positives.

7 0

3 years ago

Can someone help me please

goldenfox [79]

Answer:

$1. \quad\dfrac{1}{k^{\frac{2}{3}}}\\\\2. \quad\sqrt[7]{x^5}\\\\3. \quad\dfrac{1}{\sqrt[5]{y^2}}$

Step-by-step explanation:

The applicable rule is ...

$x^{\frac{m}{n}}=\sqrt[n]{x^m}$

It works both ways, going from radicals to frational exponents and vice versa.

The particular power or root involved can be in either the numerator or the denominator. The transformation applies to the portion of the expression that is the power or root.

7 0

3 years ago