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3 years ago

Identify the angles that are congruent to ∠ 6

Mathematics

1 answer:

Lyrx [107]3 years ago

8 0

The Angles that are congruent to angle 6 are 2,4 and 8

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Ganezh [65]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2)~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x^3-125=0\implies x^3-5^3=0\implies (x-5)(x^2+5x+5^2)=0 \\\\[-0.35em] ~\dotfill\\\\ x-5=0\implies \boxed{x=5} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~~~~~~~\textit{quadratic formula}$

$\bf \stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{+25} \qquad \qquad x= \cfrac{ - b \pm \sqrt { b^2 -4 a c}}{2 a} \\\\\\ x=\cfrac{-5\pm\sqrt{5^2-4(1)(25)}}{2(1)}\implies x=\cfrac{-5\pm\sqrt{25-100}}{2} \\\\\\ x=\cfrac{-5\pm\sqrt{-75}}{2}~~ \begin{cases} 75=&3\cdot 5\cdot 5\\ &3\cdot 5^2 \end{cases}\implies x=\cfrac{-5\pm\sqrt{-3\cdot 5^2}}{2}$

$\bf x=\cfrac{-5\pm 5\sqrt{-3}}{2}\implies x=\cfrac{-5\pm 5\sqrt{-1\cdot 3}}{2}\implies x=\cfrac{-5\pm 5\sqrt{-1}\cdot \sqrt{3}}{2} \\\\\\ x=\cfrac{-5\pm 5i\sqrt{3}}{2}\implies \boxed{x= \begin{cases} \frac{-5+ 5i\sqrt{3}}{2}\\\\ \frac{-5-5i\sqrt{3}}{2} \end{cases}}$

6 0

3 years ago

Select all the fractions and/or mixed numbers that are equivalent to 225%.

Dmitriy789 [7]

Answer:

use calculator

Step-by-step explanation:

1+1 = 8

because its 8

7 0

3 years ago

What is the rate of change of the function y = 7/4x+1?

Leokris [45]

Answer:

7/4!

Step-by-step explanation:

I think?

6 0

3 years ago

Two buses leave a station at the same time and travel in opposite directions. One bus travels 14 miles faster than the other. If

valkas [14]

If the two buses are 640 miles apart after 5 hours. Then the rate of each bus will be 57 miles per hour and 71 miles per hour.

<h3>What is speed?</h3>

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

Two buses leave a station at the same time and travel in opposite directions.

One bus travels 14 miles faster than the other.

Let x be the speed of first bus. Then the speed of the second bus will be (x + 14).

If the two buses are 640 miles apart after 5 hours.

Then the rate of each bus will be

Then the relative speed of the buses will be

S = x + x + 14

S = 2x + 14

Then the value of x will be

2x + 14 = 640 / 5

2x + 14 = 128

2x = 114

x = 57 miles per hour

Then the speed of the other bus will be

⇒ 57 + 14

⇒ 71 miles per hour

More about the speed link is given below.

brainly.com/question/7359669

#SPJ1

4 0

2 years ago

What is the area, in square units, of the parallelogram shown below?

sashaice [31]

D is you answer bud yoo 7$()6

3 0

3 years ago