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2 years ago

Please Help!!! Will give brainly!!

Mathematics

2 answers:

nasty-shy [4]2 years ago

5 0

Answer:

FIrst, lets set up some rules to keep in mind:

The interior angles of any triangle will add up to 180°

Therefore, m<FED + m<FDE + m<DEF or in other words 64 + 2x+ m<DFE=180

Next, lets note that there are supplementary angles in this problem which are a set of angles that add to 180°. For example, m<HFC + m<EFH + m<DFE = 180.

With those in mind lets solve:

If we find the m<DFE then we can find the value of x since the interior angles of any triangle add to 180.

to find f we can use supplementary angles.

42°+90°+m<DFE=180

132+m<DFE=180

m<DFE=48°

Therefore,

64+48+2x=180

112+2x=180

2x=68

x=34

To check our answer we can plug in 34 for x and the 3 interior angles of that triangle should add to 180

2(34)+64+48=180?

68+64+48=180?

180=180

x=34 is valid

Step-by-step explanation:

Alex_Xolod [135]2 years ago

4 0

Answer:

x = 34

Step-by-step explanation:

90° + 42° = 132°

180° - 132° = 48°

m∠DFE = 48°

2x + 48 + 64 = 180

2x + 112 = 180

2x = 68

x = 34

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Help me with this exercise

Vinil7 [7]

The answer you are looking for is: 
270 $yards^{2}$ 
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2 years ago

Let P be the parabola with focus (0,4) and directrix y=x.Write an equation whose graph is a parabola with a vertical directrix t

prisoha [69]

Answer:

y²=4√2.x

Step-by-step explanation:

The focus is at (0,4) and directrix is y=x or x-y =0, for a parabola P.

The distance between the focus and the directrix of the parabola P is

$\frac{ |0-4| }{\sqrt{(1)^{2}+(-1)^{2} } }$ = $\frac{4}{\sqrt{2} }$

{Since the perpendicular distance of a point (x1, y1) from the straight line ax+by+c =0 is given by $\frac{ |ax1+by1+c| }{\sqrt{a^{2}+b^{2} } }$ }

Let us assume that the equation of the parabola which is congruent with parabola P is y²=4ax

{Since the parabola has vertical directrix}

Hence, the distance between focus and the directrix is 2a = $\frac{4}{\sqrt{2} }$ , {Two parabolas are congruent when the distances between their focus and the directrix are same}

⇒ a=√2

Therefore, the equation of the parabola is y²=4√2.x (Answer)

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3 years ago

A(n)=-4-2(n-1) find the 12th term in the sequence.

Art [367]

Substitute n = 12:

$a(n)=-4-2(n-1)\\\\a(12)=-4-2(12-1)=-4-2(11)=-4-22=-26$

4 0

3 years ago

Mya wants to create a rectangular garden that will be 25 feet wide. She has 110 feet of

jok3333 [9.3K]

750 sq ft

Step-by-step explanation:

since the fencing is going around the perimeter, you have to have two sides with the width of 25 feet, you would use 50 feet of fencing for 2 of the sides. You will have 60 feet of fencing left, divided by 2 (length of the garden) = 30 feet long.

The area (length x width) or (25 x 30) = 750 sq ft of garden space. Draw a rectangle with 25 ft on two parallel sides and 30 ft on the other two sides and show these equation= 25 x 2= 50, 110 - 50 = 60

60 ÷ 2 = 30, 30 x 25 = 750

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3 years ago

A= square root of 175 b= 15 what is c

garik1379 [7]

15 x 15 = 175, that is how to find the square root.

4 0

3 years ago