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Artist 52 [7]
2 years ago
8

ANother question!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
denpristay [2]2 years ago
5 0

i am going to answer question 1, so q1 is a number line

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In this figure, AB || CD and m/1 = 110*. A / What is m/5? 5/6 8/ 7 D Enter your answer in the box.​
pashok25 [27]

Answer:

240°

Step-by-step explanation:

Draw a line EF perpendicular to AB and CD passing through M

In △BME 

∠BME+∠MBE+∠BEM=180∘ (Angle sum proprerty)

∠BME+35∘+90∘=180∘∠BME=180∘−125∘∠BME=45∘

In △DMF

∠DMF+∠MDF+∠MFD=180∘ (Angle sum property )

∠DMF+75∘+90∘=180∘∠DMF=180∘−165∘∠DMF=15∘

x=∠DMF+∠BME+∠EMF

x=15∘+45∘+180∘x=240∘

6 0
3 years ago
Given: MNFD is a trapezoid.
Rama09 [41]
A trapezoid with legs MN = FD is an isosceles trapezoid.
An isosceles trapezoid has diagonals that are congruent, therefore: MF = ND.
A quadrilateral with diagonals congruent and perpendicular is a square.
In a square, the height coincides with the side.
The area of a square is given by A = s²
Therefore, the area of MNFD is h²
6 0
3 years ago
Each package of pens contains 3 pens. How is the number of pens related to the number of packages?
yuradex [85]

Answer:  The correct option is (C) Packages x 3 = Pens

Step-by-step explanation:  Given that each package of pens contains 3 pens.

We are to choose the correct mathematical relation between number of pens and number of packages.

Let, n represents the number of pens and N represents the number of packages.

Then, according to the given information, we have

n\times 3=N\\\\\Rightarrow \textup{Packages}\times 3=\textup{Pens}.

Thus, the correct relation is

Packages x 3 = Pens.

Option (C) is CORRECT.

6 0
3 years ago
Please help me.................​
schepotkina [342]

Answer:

A

Step-by-step explanation:

because if 8 is g that makes the top 8 and 2+3 eaquls five. this is simple

3 0
2 years ago
Write and equation of the translated or rotated graph in general form (picture below)
WINSTONCH [101]

Answer:

The answer is hyperbola; (x')² - (y')² - 16 = 0 ⇒ answer (a)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

 xy = -8

∵ A = 0 , B = 1 , C = 0

∴ B² - 4 AC = (1)² - 4(0)(0) = 1 > 0

∴ B² - 4AC > 0

∴ The graph is hyperbola

* The equation xy = -8

∵ We have term xy that means we rotated the graph about

  the origin by angle Ф

∵ Ф = π/4

∴ We rotated the x-axis and the y-axis by angle π/4

* That means the point (x' , y') it was point (x , y)

- Where x' = xcosФ - ysinФ and y' = xsinФ + ycosФ

∴ x' = xcos(π/4) - ysin(π/4) , y' = xsin(π/4) + ycos(π/4)

∴ x' = x/√2 - y/√2 = (x - y)/√2

∴ y' = x/√2 + y/√2 = (x + y)/√2

* Lets substitute x' and y' in the 1st answer

∵ (x')² - (y')² - 16 = 0

∴ (\frac{x-y}{\sqrt{2}})^{2}-(\frac{x+y}{\sqrt{2}})^{2}=

 ( \frac{x^{2}-2xy+y^{2}}{2})-(\frac{x^{2}+2xy+y^{2}}{2})-16=0

* Lets open the bracket

∴ \frac{x^{2}-2xy+y^{2}-x^{2}-2xy-y^{2}}{2}-16=0

* Lets add the like terms

∴ \frac{-4xy}{2}-16=0

* Simplify the fraction

∴ -2xy - 16 = 0

* Divide the equation by -2

∴ xy + 8 = 0

∴ xy = -8 ⇒ our equation

∴ Answer (a) is our answer

∴ The answer is hyperbola; (x')² - (y')² - 16 = 0

* Look at the graph:

- The black is the equation (x')² - (y')² - 16 = 0

- The purple is the equation xy = -8

- The red line is x'

- The blue line is y'

6 0
3 years ago
Read 2 more answers
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