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jarptica [38.1K]
3 years ago
15

Help !!!!!!!!!!!!!!!

Mathematics
2 answers:
Cerrena [4.2K]3 years ago
6 0
I think he is right
Radda [10]3 years ago
5 0

Answer: y=55  x=6

Step-by-step explanation: Because of the two equivalent lines in lines DE and FE we know that the angles D and F must be equal, therefore y is 55. And now we know that angles D and F add up to 110 and because all of the angles in a triangle add up to 180, angle E must equal 70.

Angle E-        (11x+4)=70

                            -4   -4

                       11x=66

                         divide both sides by 11

                            x=6

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The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
stepan [7]

Answer:

6.75

Step-by-step explanation:

h=hat, s=scarf

5h + 1s = $47 (equation 1)

2h + 2s = $40 (equation 2)

multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)

equation 3 minus equation 2, we get:

8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75

substitute h = $6.75 into equation 2 to find s,

2($6.75) + 2s = $40

$13.5 + 2s = $40

2s = $26.5

s = $13.25 ⇔ 1 scarf cost $13.25

6 0
3 years ago
A source of laser light sends rays AB and AC toward two opposite walls of a hall. The light rays strike the walls at points B an
____ [38]

Answer: 70  meters.

Step-by-step explanation:

Observe the figure attached.

The distance between the walls is:

DE=AD+AE

<em />

Both triangles are right triangles. Therefore, you can calculate the distance  between the walls as following:

- Calculate the distance AD:

cos\alpha=\frac{adjacent}{hypotenuse}\\\\cos(60\°)=\frac{AD}{60}\\AD=30m

- Calculate the distance AE:

tan\beta =\frac{opposite}{adjacent}\\\\tan(45\°)=\frac{40}{AE}\\\\AE=\frac{40}{tan(45\°)}\\\\AE=40m

Therefore the distance between the walls is:

DE=30m+40m=70m

6 0
3 years ago
Read 2 more answers
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o-na [289]

Initial fee: $25

Per hour fee: $7

Your budget: $60

x = # of hours you can rent the surfboard

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Divide both sides by $7

x ≤ 5

You can rent the surfboard for less than or equal to 5 hours.

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Harman [31]
6x+3-(8x-5)
=
-2x(x-4)
=
2x+8
=
p = 2
8 0
3 years ago
There are 32 forwards and 80 guards in Leo's basketball league. Leo must include all players on a team and wants each team to ha
andre [41]
32 (forwards) /16 (team's) =2 forwards on each team 80 (gaurds) / 16 (team's) =5 gaurds on each team
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