What is y? What is x? What do you use to find them?

Mathematics

1 answer:

boyakko [2]4 years ago

7 0

See the attached image to see the alternate interior angles that are congruent (due to the parallel horizontal lines)

tan(angle) = opposite/adjacent
tan(31) = y/400
400*tan(31) = y
y = 400*tan(31)
y = 240.344247611024 <<-- use a calculator; make sure you are in degree mode
y = 240.3

Answer: 240.3

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Find the value of x<br><br>urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

⇒ Substitute in the values

$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

⇒ Simplify

$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

$\frac{1}{2} -\frac{1}{2} =0$

0 = 0

The solution x = 2 is correct

4 0

3 years ago

Find the distance bewteen points H(8,4) and k(7,6) to the nearest hundreath

OleMash [197]

Answer:

2.24

Step-by-step explanation:

If you look at the points on the graph, you can see that the distance between them is also the hypotenuse of a right triangle, meaning you can calculate the distance using the pythagorean theorem.

$a^2+b^2=c^2\\1^2+2^2=c^2\\1+4=c^2\\c=\sqrt{5}\\c\approx2.2361$