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Zielflug [23.3K]
2 years ago
12

Find the measurement of E •56 •132 •51 •63

Mathematics
2 answers:
Burka [1]2 years ago
4 0

Answer:

∠ E = 56°

Step-by-step explanation:

the external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ MGF is an exterior angle of the triangle , then

10x + 12 = 5x - 4 + 76

10x + 12 = 5x + 72 ( subtract 5x from both sides )

5x + 12 = 72 ( subtract 12 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

Then

∠ E = 5x - 4 = 5(12) - 4 = 60 - 4 = 56°

garik1379 [7]2 years ago
4 0

Answer:

56°

Step-by-step explanation:

The exterior angle property states that the exterior angle is equal to the sum of the internal angles not adjacent to it.

Given :

∠E = (5x + 4)°

∠F = 76°

∠FGM =  (10x + 12)°

Solving :

∠E + ∠F = ∠FGM

5x - 4 + 76 = 10x + 12

10x - 5x = 72 - 12

5x = 60

<u>x = 12</u>

<u />

Substitute x in ∠E :

5(12) - 4

60 - 4

56°

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Evaluate 2(x+ 1 - 3 when x = 6 O Ο Α. 11 OB. 5 O C. 8 ( D. 10
Mashutka [201]

\implies {\blue {\boxed {\boxed {\purple {\sf {A. \:11}}}}}}

\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}

2 \: ( \: x + 1 \: ) - 3

Plugging in the value "x\:=\:6" in the above expression, we have

= 2 \: ( \: 6 + 1 \: ) - 3

= 2 \: ( \: 7 \: ) - 3

= 14 - 3

= 11

<h3><u>Note</u>:-</h3>

\sf\red{PEMDAS\: rule.}

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}

5 0
3 years ago
ANHL player's labor negotiating committee is to be selected from 8 player representatives from the Eastern Conference and 7 play
cestrela7 [59]

Answer:

21 / 143

Step-by-step explanation:

Given that:

Number of Eastern conference reps = 8

Number of western conference rep = 7

Probability of selecting 3 from Eastern reps and 2 from western reps

Probability = required outcome / Total possible outcomes

Total possible outcomes:

selection to be made = 3+ 2 = 5

Total Number of players = 8 +7 = 15

Total possible outcomes

Using combination formula :

nCr = n! / (n-r)!r!

15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003

Total possible outcomes = 3003

Required outcome :

8C3 * 7C2

8C3 = 56 ; 7C2 = 21

8C3 * 7C2 = 56 * 21 = 1176

required outcome / Total possible outcomes

= 1176 / 3003

= 21 / 143

6 0
3 years ago
Original price of a suit: $250.00<br>Discount: 25%<br>Tax: 8%<br>How much will you pay?​
ozzi

Answer:

207,50

Step-by-step explanation:

1% = 2,5

2,5x25 = 62,5 250 - 62,5 = 187,5

2,5x8 = 20

187,5+20= 207,50

8 0
3 years ago
Out of every 40 pens, 5 pens are discarded. What percent of the pens are not discarded?
Gwar [14]

87.5 percent

Reason: 40/40-5/40 is 35/40. Divide 35/40 and you get 0.875. Multiply by a hundred and you get 87.5%

3 0
3 years ago
15
Makovka662 [10]

Answer:

Option A ( -3/2 , \frac{-3\sqrt{3} }{2} )

Step-by-step explanation:

  • According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .
  • Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation
  • Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)  

(For Diagram, Please Find in attachment)

Now In Triangle OAB

  • Cos60* = OA / OB

        1/2 = -X / 3 Thus X= -3/2

  • Sin60* = AB / OB

        \sqrt{3}/2 = -Y / 3 Thus Y = -\sqrt{3} * 3 /2

6 0
3 years ago
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