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lys-0071 [83]
3 years ago
6

Using the figure, find x and y

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

  • x = 8
  • y = 2√3

Step-by-step explanation:

The triangle is recognizable as a 30°-60°-90° right triangle, which has side length ratios ...

  1 : √3 : 2

Side x is thus twice the length of short side 4, so x = 8.

Side y is √3 times the length of short side x-6 = 2, so y = 2√3.

_____

If you don't happen to recognize the triangle dimensions, you can find x and y using the Pythagorean theorem.

  x = √(4² +(4√3)²) = √64 = 8

  y = √(4² -2²) = √12 = 2√3

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Somebody please help me with this geometry work
dimulka [17.4K]

Answer:

m∠EGF = 65°  and m∠CGF = 115°

Step-by-step explanation:

Given;

∠EFG = 50°

EF = FG

Solution,

In ΔEFG m∠EFG = 50° and EF = FG.

Since triangle is an isosceles triangle hence their base angles are always equal.

∴m\angle FEG = m\angle EGF

Let the measure of ∠EGF  be x.

∴ m\angle FEG = m\angle EGF = x

Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."

m∠EFG + m∠FEG + ∠EGF = 180

50\°+x+x=180\°\\50\°+2x=180\°\\2x= 180\°-50\°\\2x=130\°\\x=\frac{130}{2}= 65\°

Hence

m∠EGF = 65°  

Also 'The sum of angles that are formed on a straight line is equal to 180°."

m∠EGF + m∠CGF = 180°

65° + m∠CGF = 180°

m∠CGF = 180° - 65° = 115°

Hence m∠EGF = 65°  m∠CGF = 115°

8 0
3 years ago
Please help! will give 30 points!
insens350 [35]

Answer:

Other needs =25,2 degrees

insurance = 100,8 degrees

Taxes= 7,2

Housing = 57,6

food= 57,6

childcare = 64,8

transportation = 46,8

Step-by-step explanation:

Its % of 360 degrees so you have to calculate the percentage of each categorie on 360 degrees to find the angles. Exemple, for the Other needs, you take 7% out of 360 degrees and you find that it is equal to 25,2. (7% x360 degrees /100)

7 0
3 years ago
64-144a+108a^2-27a^3​
Nataly [62]

Answer:

= -27a^3+108a^2-144a+64

Step-by-step explanation:

Simplify:

=64-144a+108a^2-27a^3

=64+-144a+108a^2+-27a^3

Answer

= -27a^3+108a^2-144a+64

5 0
4 years ago
Can someone pls help me
Irina18 [472]

Answer:

6π Km

Step-by-step explanation:

The arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × \frac{120}{360}

   = 2π × 9 × \frac{1}{3}

   = 18π × \frac{1}{3}

  = 6π Km ← exact value

6 0
3 years ago
Increase $450 by 12%
Rzqust [24]

Answer:

Step-by-step explanation:

100     112

450      x

x=450x112/100

x=504

3 0
3 years ago
Read 2 more answers
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