If angle 2 equals (2x+5)degrees and angle 3 equals 85 degrees, what is the value of x?

Answer:

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

F (5,5) , G (−3,−1)

The distance between them is

[tex] |FG| = \sqrt{( {5 + 3})^{2} + ({5 + 1})^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Distance formula: d = √(x2-x1)²+(y2-y1)²

= √(x2-x1)²+(y2-y1)²

= √(-3-5)²+(-1-5)²

= √-8²+(-6)²

= √64+36

= √100

= 10

Best of Luck!

Step-by-step explanation:

-2x>11-5

x<6/-2

x<-3

Make sure the circle in the number line isnt coloured in!

Step-by-step explanation:

(Hope this explanation can ease your mind a little if possible! Alright let's go! :D)

Let n be the middle of the 3 consecutive even integers. Therefore, (n - 2) and (n + 2) are the smallest and largest of the 3 numbers respectively.

We know that (n - 2) + n + (n + 2) = 78,

so 3n = 78, and n = 78/3 = 26.

Since the middle number is 26, the smallest number is 26 - 2 = 24 and the largest number is 26 + 2 = 28.

Feel free to comment below if you have any queries!

Answer:

The triangle is isosceles.

Step-by-step explanation:

WHY?:

An Isosceles Triangle will have both 2 equal sides and 2 equal angles.

A Equilateral Triangle will have 3 equal sides and 3 equal angles.

A Scalene angle is when all 3 sides have different lengths.

and

A right triangle will have a 90 degree angle.

In triangle LMN, LM is perpendicular on side MN. So that, the triangle LMN is right angle triangle.

To understand more, check below explanation.

A triangle whose all three sides has different length known as scalene triangle.

A triangle in which all three sides are equal in length known as equilateral triangle.

A triangle in which two sides are equal are known as isosceles triangle.

A triangle in which one angle is 90 degrees known as right angle triangle.

Since, In traingle LMN, LM is perpendicular on MN. Therefore, LMN is right angle triangle.

Learn more about the triangles here:

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Answer:

15

Step-by-step explanation:

First find h (60)

Let x= 60

h(60)=1/5 *60-7

       =12-7

      = 5

We want to find 3 •h(60)

3 * 5

15

Answer:  

+7 * 3.

Step-by-step explanation:

There are 3 +7's and they are added together which is equal to +7 * 3.

Total is 21.

Answer:

-6x+18

Step-by-step explanation:

you multiply -2 by the numbers in the bracket

Answer:

Solve the problem by taking whats preformed on the variable, inverse it getting the variable by itself.

3.9x + 0.3 = 12

The answer is X=3

Answer:

The answer is X=3

Step-by-step explanation:

Answer:

12 Lemons

Step-by-step explanation:

3 x 4= 12

Answer:

20 Dollars

Step-by-step explanation:

4 dollars x 5 dollars = 20 Dollars

hope this helps

Answer:

A five pound watermelon would cost twenty dollars.

Step-by-step explanation: This is multiplication. If you do not understand multiplication it is just like counting 4 five times. So it would be 4,8,12,16,20 and then 20$ is your answer

Answer:

Step-by-step explanation:

Answer:

24a³

Step-by-step explanation:

Simplify, then,  2.1  2³ divided by 2¹= 2 (³_¹)= 2²

( 3 . 4³ .2.   =24a³.

Simplification of an expression is making it as simple as possible. The simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]

If we have [tex]a^b[/tex] then 'a' is called base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

[tex]a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\\\\^n\sqrt{a} = a^{1/n}\\(ab)^c = a^c \times b^c[/tex]

For the given case, the expression is simplified by using the given rules as:

[tex][3(2a)^{3/2}]^2 = 3^2 \times (2a)^{\dfrac{3}{2} \times 2} = 9 \times (2a)^3\\[/tex]

[tex][3(2a)^{3/2}]^2 = 9 \times 8 \times a^3 = 72a^3[/tex]

Thus, the simplified form of the considered expression is given by: Option D: [tex]72a^3[/tex]

Learn more about exponent here:

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Answer:4 ⅛ pieces of pizza

Step-by-step explanation:

Get lcm of 16 and 20 which is 80

5/80+28/80=33/80

80/80=10

33/80

33/80×10÷80/80=4⅛

Answer:

no solution

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

Answer:

thats a lot of fish

Step-by-step explanation:

owo

Answer:

Erin should stop at three and a half rounds.

Step-by-step explanation:

One complete round will mow 954 square feet, the total area that she has to mow 3375 square feet. If she goes around three and a half times, she should be finished and stop. This was quite hard to figure out, and may very well be incorrect in some way, but I hope this helps.

Answer:

5+5=10 and 5x2=10

Step-by-step explanation:

5+5 would equal 10 because if you have 5 apples and add 5 more you have 10 apples and if you have 5 dollars and you get 5 more dollars for doing chores than you have ten dollars now.

To be honest I am not sure

Good Luck Sorry if it is wrong.

Hey there!

[tex]Answer:\boxed{x=\frac{-1}{2}y+17}\boxed{y=-2x+34}[/tex]

[tex]Explanation:[/tex]

[tex]y=-2x+34[/tex]

flip the equation.

[tex]-2x+34=y[/tex]  flip the equation.

Now add -34 to both sides of the equation.

[tex]-2x+34+-34=y+-34\\-2x=y-34[/tex] add -34 to both sides of the equation.

In our third/last step, we will divide both sides of the equation by -2.

[tex]\frac{-2x}{-2}=\frac{y-34}{-2}[/tex] divide both sides of the equation by -2.

[tex]x=\frac{-1}{2}y+17[/tex] The answer to your equation.

There is nothing to solve for y because the equation was equal to y.

Hope this helps!

[tex]\text{-TestedHyperr}[/tex]

Answer:

x-0,6x=20

0,4x=20/:0,4

x=50

Step-by-step explanation:

The original price of the jacket will be $50.

The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that after a 60% reduction, a jacket sold for $20. The original cost of the jacket will be calculated as below:-

Let the unknown number be x. Form the equation and solve for the value of x.

x-0,6x=20

0,4x=20/:0,4

x=50

Therefore, the original price of the jacket will be $50.

To know more about percentages follow

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#SPJ2

Answer:

2599

Step-by-step explanation:

2,814-215 = 2599

Answer: 1 2/3

Step-by-step explanation: 1/6 is 0.16666666 so 10x0.166666= one and two thirds

Answer:

x = -3

Step-by-step explanation:

First, distribute:

-2x - 16 = 6x + 8

Then, switch the numbers to one side, and switch the variables to another:

-2x - 6x = 8 + 16

Then, simplify:

-8x = 24

Finally, divide -8 on both sides:

We got x = -3

And we're done!

Answer:

B.

Step-by-step explanation:

sin∅ = opposite side over hypotenuse

cos∅ = adjacent side over hypotenuse

To find x, there are multiple ways:

tan72° = 6/x

x = 6/tan72°

cos72° = x/15

15cos72° = x

Answer:

90+30=120

180-120=60 this is degree measure

Answer:

Rise over run

Step-by-step explanation: