can someone explain how to solve this?

Given:

Consider the below figure attached with this question.

[tex]m\angle 3=(x+30)^\circ[/tex] and [tex]m\angle 4=(2x-80)^\circ[/tex].

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

[tex]m\angle 3=m\angle 4[/tex]

[tex](x+30)^\circ=(2x-80)^\circ[/tex]

[tex]x+30=2x-80[/tex]

[tex]x-2x=-30-80[/tex]

[tex]-x=-110[/tex]

[tex]x=110[/tex]

Now,

[tex]m\angle 3=(110+30)^\circ[/tex]

[tex]m\angle 3=140^\circ[/tex]

Therefore, the measure of angle 3 is 140 degrees.

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

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Answer:  36?

It's too short. Write at least 20 characters to explain it well.



4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Answer:

1/2 / 2/3

(1*3) / (2*2)

3/4

Two-thirds of a half equals three-quarters

Answer:

no question

Step-by-step explanation:

it cant thats not an answet

Answer:

x=0

Step-by-step explanation:

The parenthesis mean that it's multiplication, so it might be easier to convert that to: 5 · x = 0. We then know that anything times zero equals zero, so 5 · 0 = 0! I hope this helps! :)

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

Answer:

student a

Step-by-step explanation:

i just took the exam

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Answer:

I think it's the 28th St. but I'm not sure.

Answer:

HELP ME I GOT THE SAME QUESTION AND I'M DUMB :(

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

no solution

I did it on a graph and I think its true?

Answer:

14

Step-by-step explanation:

A number that is exactly halfway between 1 and 27 is the middle number

In other words, we want to find the median between 1 and 27

Median = (x + y) / 2

Let

x = 1

y = 27

Median = (x + y) / 2

= (1 + 27) / 2

= 28/2

= 14

Therefore, the number between 1 and 27 is 14

Answer:

Store A:  

✔ $1.98 per loaf

Store B:  

✔ $1.95 per loaf

Store C:  

✔ $2.01 per loaf

Store D:  

✔ $2.02 per loaf

Step-by-step explanation:

Answer: (-5,1)

Step-by-step explanation: Explanation in picture.

Answer: (t,u) -> (t-3, u+8)

Step-by-step explanation: Up is the y value and left is the x value.

In the point ( t,u) t is the x value and u is the y value.

Moving to the left, you subtract the value and moving up you add the value.

The answer would be (t, u) → (-t – 3, u + 8)

Answer:

Good for him also there is no question

Step-by-step explanation:

Answer: whats the car prices that was in the news paper

Step-by-step explanation:

Answer:

Total Bill: $138

Step-by-step explanation:

115 * 1.20 = 138

Answer:

138

Step-by-step explanation:

115 × 20% = 23

115 + 23 = 138

Answer is 138

BRAINLIEST

Answer: First one, 25x^2y^22

Step-by-step explanation:

if you multiply y^5*2 you get y^10 and x^2

that makes x^2y^10

then, if you multiply y^3*4 you get y^12

so you have to add the y s that makes x^2y^22

Answer:

3 the answer is 3

Step-by-step explanation:

Answer:

-2 and 109

Step-by-step explanation:

just put that

Answer 2 and -109

Step-by-step explanation:

I did the test

Answer:

48

Step-by-step explanation:

Vertical angles are congruent

7x - 22 = 4x + 8     {Add 22 to both sides}

         7x = 4x + 8 + 22

        7x = 4x + 30         { subtract 4x from both sides}

7x - 4x = 30

         3x = 30

           x = 30/3

x = 10

4x + 8 = 4*10 + 8

          = 40 + 8

          = 48

7x - 22 = 7*10 - 22

            = 70 - 22

            = 48

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Given:

A figure.

To find:

The values of x and y.

Solution:

We know that, in a right angled triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]

[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]

[tex]8\sqrt{3}=x[/tex]

And,

[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]

Multiply both sides by 16.

[tex]\dfrac{16}{2}=y[/tex]

[tex]8=y[/tex]

Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].

Answer: you didnt post graphs to look at

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

Learn more about ellipses here:

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