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3 years ago

2. Find 110° B С. 95° Pas 100 A 100 E

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

55°

Step-by-step explanation:

By angle sum property of a quadrilateral :

$m\angle BED = 360\degree - (110\degree + 95\degree + 100\degree) \\\\m\angle BED = 360\degree - 305\degree \\\\ \huge \purple{m\angle BED = 55\degree}\\\\$

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Solve for x because it was too hard to me

Yuri [45]

This is tricky
lets try substituting y = √)6x - 9)

√(6 - y) + √(6x + y) = √6

squaring both sides:-

6 - y + 6 + y - 2√(6 - y)(6 + y) = 6
12 - 2√(6 - y)(6 + y) = 6
√(6 - y)(6 + y) = (6-12) / -2 = 3
Squaring both sides:-
(6 - y)(6 + y) = 9
36 - y^2 = 9
y^2 = 27
y = +/-√27

√(6x - 9) = +/- 27

6x - 9 = 729

x = 738/6 = 123

This cannot be a solution because we would have a negative value for the
second square root

I would say that no solution exist.

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3 years ago

In a box of mixed soft toys 25% are animal toys what is 25% as a fraction in its simplest form

densk [106]

25% = 0.25 = 25/100 = 1/4 in simplest form

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3 years ago

Keonna flipped a coin 3 times. What is the probability that she flipped heads all 3 times?

Wewaii [24]

3/2. I hope this is what you are looking for and it helps!

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3 years ago

What is the equation of a line that is perpendicular to −x+3y=9 and passes through the point (−3, 2) ?

vekshin1

The equation of line that is perpendicular to the line $-x+3y =9$ and passes through the point $\left({-3,2}\right)$ is $\boxed{{\mathbf{y=-3x-7}}}$ .

Further explanation:

It is given that the equation of line is $-x+3y =9$ and passes through point $\left({-3,2}\right)$ .

Rewrite the given equation $-x+3y =9$ as follows:

$\begin{aligned}-x+3y&=9\\3y&=9+x\\y&=\frac{9}{3}+\frac{1}{3}x\\y&=\frac{1}{3}x+3\\\end{aligned}$

Now, compare the obtained equation of line $y=\frac{1}{3}x+3$ with the standard equation of line $y=mx+b$ .

$\begin{aligned}m&=\frac{1}{3}\\b&=3\\\end{aligned}$

Therefore, the slope is $\frac{1}{3}$ .

It is given that both lines are perpendicular to each other so the product of slope must be equal to $-1$ .

${m_1}\cdot {m_2}=-1$ …… (1)

Substitute $\frac{1}{3}$ for ${m_1}$ in equation (1) to obtain the value of slope ${m_2}$ .

$\begin{aligned}\frac{1}{3}\cdot{m_2}&=-1\\{m_2}&=-3\\\end{aligned}$

Therefore, the slope is $-3$ .

It is given that the line passes through point $\left({-3,2}\right)$ .

The point-slope form of the equation of a line with slope $m$ passes through point $\left({{x_1},{y_1}}\right)$ is represented as follows:

$y-{y_1}=m\left({x-{x_1}}\right)$ …… (2)

Substitute $-3$ for ${x_1}$ , $2$ for ${y_1}$ and $-3$ for $m$ in equation (2) to obtain the equation of line.

$\begin{aligned}y-2&=-3\left({x-\left({-3}\right)}\right)\\y-2&=-3\left({x+3}\right)\\y&=-3x-9+2\\y&=-3x-7\\\end{aligned}$

Therefore, the equation of line is $y=-3x-7$ .

Thus, the equation of line that is perpendicular to the line $-x+3y=9$ and passes through the point $\left({-3,2}\right)$ is $\boxed{{\mathbf{y=-3x-7}}}$ .

Learn more:

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2. What is the value of $x$ in the equation $x-y=30$ when $y=15$ ? brainly.com/question/3965451

3. What are the values of x? brainly.com/question/2093003

Answer Details:

Grade: Junior High School

Subject: Mathematics

Chapter: Coordinate Geometry

Keywords: Coordinate Geometry, linear equation, system of linear equations in two variables, variables, mathematics, equation of line, line, passes through point.

6 0

4 years ago

Read 2 more answers

Find the length of the third side. If necessary, round to the nearest tenth

topjm [15]

Answer:

9.21954445729

Step-by-step explanation:

A^2 + B^2 = C^2

7^2 = 6^2 = 85

The square root of 85 is...

9.21954445729