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Anika [276]
3 years ago
8

Find the value of X. Show work!!!

Mathematics
1 answer:
barxatty [35]3 years ago
6 0

Answer:

x = -10

Angle 2 = 49°

Angle 3 = 49°

Step-by-step explanation:

In the given figure, it's an isosceles triangle

so, angle 2 = angle 3

( since their opposite sides are equal )

now,

in the given triangle,

=》Angle 2 + Angle 3 + 82° = 180°

( sum of all interior angles of the triangle = 180° )

=》Angle 2 + Angle 3 = 180° - 82

=》Angle 2 + Angle 3 = 98°

=》2 × Angle 2 = 98°

( since, angle 2 = angle 3 )

=》Angle 2 = 98° / 2

=》Angle 2 = 49°

so, Angle 2 = 49° = Angle 3

now,

Angle 2 = x + 59

=》49 = x + 59

=》x = 49 - 59

=》x = -10

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3 years ago
Dan's school is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets
VashaNatasha [74]

Answer:

Let's define the variables:

A = price of one adult ticket.

S = price of one student ticket.

We know that:

"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."

1*A + 6*S = $69

"The school took in $150 on the second day by selling 7 adult tickets and student tickets"

7*A + 7*S = $150

Then we have a system of equations:

A + 6*S = $69

7*A + 7*S = $150.

To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:

A = $69 - 6*S

Now let's replace this in the other equation:

7*($69 - 6*S) + 7*S = $150

Now we can solve this for S.

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$483 - $150 = 35*S

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$333/35 = S

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2 years ago
Among 35 students in a class, 20 of them earned A's on the midterm exam, 13 earned A's on the nal exam, and 12 did not earn A's
enyata [817]

Answer:

The correct answer is "\frac{2}{7}".

Step-by-step explanation:

According to the question,

Number of students,

= 35

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n(A) = 20

B : final A,

n(B) = 13

Didn't start,

n(A^c \cap B^c) = 12

Now,

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then,

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The probability will be:

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⇒                 =\frac{2}{7}

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