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neonofarm [45]
3 years ago
14

1) LaTeX: m\angle1=\:\:\:\:\:\:\:\:^\circm ∠ 1 = ∘

Mathematics
1 answer:
denis23 [38]3 years ago
5 0

Answer:

1. m<1 = 139°

2. m<2 = 41°

3. x = 29

Step-by-step explanation:

1. m<1 = 86° + 53° (exterior angle theorem of a triangle)

m<1 = 139°

2. 133° = m<2 + 92° (exterior angle theorem of a triangle)

133° - 92° = m<2 (Subtraction property of equality)

41° = m<2

m<2 = 41°

3. 4x + 15 = 93° + (x + 9)° (exterior angle theorem of a triangle)

Add like terms

4x + 15 = 102 + x

4x - x + 15 = 102 (substraction property of equality)

3x + 15 = 102

3x = 102 - 15

3x = 87

x = 87/3 (division property of equality)

x = 29

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Factor completely 2x^2+6x-80
Rom4ik [11]

Answer:

x= -8 , x=5

Step-by-step explanation:

2x^2+6x-80=0

x^2+3x-40=0

look for 2 numbers that their:

sum = 3

product = -40

(x+8)(x-5)=0

thus

x= -8 , x=5 (ANS)

7 0
3 years ago
Two glasses of milk and 4 snack bars have a total of 76 carbohydrates (carbs), and 4 glasses of milk and 3 snack bars have a tot
galina1969 [7]

Answer:

10 carbs in snack bars

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Step-by-step explanation:

Glasses of Milk = m

Snack Bars = s

I am going to make this a system of equations:

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4m + 2s = 76

I am going to simplify one of them for a s:

4m + 2s = 76

2s = 76 - 4m

s = 38 - 2m

I am going to insert this into the other equation:

2m + 3s = 58

2m + 3(38 - 2m) = 58

2m + 114 - 6m = 58

(-4)m + 114 = 58

(-4)m = -56

m = 14 calories

I am going to plug this m into one of the equations (doesn't matter which):

2(14) + 3s = 58

28 + 3s = 58

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s = 10

You can plug these values back into each of the equations to make sure they work.

Hope it helps! UvU

4 0
3 years ago
29 If the zeros of a quadratic function, F, are -3 and 5, what is the equation of the axis of symmetry
UNO [17]

Answer:

the axis of symmetry is X = 1

Step-by-step explanation:

make sure to ask if you need any further guidance.

8 0
2 years ago
Whoever answers gets brainlist!
Andreyy89

Answer: D

Step-by-step explanation: an irrational number cannot be written as the quotient of of two integers, it will produce a decimal number that probably goes on forever in a calculator

8 0
3 years ago
Read 2 more answers
A concert hall seats 802 people in the balcony and 6887 on the main floor there were a concert in June and the ticket was sold f
tatuchka [14]

Answer: 7689 tickets

Step-by-step explanation:

Since tickets was sold for every seat, the total number of tickets that were sold will be the addition of the 802 seats in the balcony and 6887 seats on the main floor. This will be:

= 802 + 6887

= 7689 tickets

5 0
3 years ago
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