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lidiya [134]
3 years ago
5

A and B are vertical angles. If A = 4x - 10 and B = 6x - 30, find mA.

Mathematics
2 answers:
Andru [333]3 years ago
5 0
<span>vertical angles
m<A = m<B
so
</span>4x - 10 = <span>6x - 30
6x - 4x = -10 + 30
2x = 20
x = 10

m<A = </span><span>4x - 10
</span>m<A = 4(10) - 10
m<A = 40 - 10
m<A = 30<span>

</span>
Dovator [93]3 years ago
5 0
If A and B are vertical angles, then A = B.  Thus, 4x - 10 = 6x - 30, and 10 = x.  Check:  Does 4(10) - 10 = 6(10) - 30?  Does 30 = 30?  YES.  So x = 10 is correct.  The measure of angle A is 30 degrees.
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6 0
3 years ago
A ride at a carnival has two types of cars for children to ride one type has two seats and one has four seats there are 25 cars
Darya [45]

Answer:

10

Step-by-step explanation:

To solve this problem you need to create a system of equations. In these equations, use a = 2-seated car and b = 4- seated car

The first equation that you can make can be a + b = 25 because the number of 2-seated cars plus the number of 4-seated cars is going to equal a total of 25 cars.

The next equation you can make is 2a + 4b = 70 because the number of seats provided by the 2-seated cars plus the number of seats provided by the 4-seated cars will equal 70 total seats.

Next, line up the equations and solve:

Step one: Line up the equations

                a +  b = 25

             2a + 4b = 70

Step two: Multiply the top equation by -2 so that you can add both of                                        the equations together

             -2(a) + -2(b) = 25(-2)   ⇒   -2a - 2b = -50

                2a +    4b = 70         ⇒    2a + 4b = 70

Step three: Add the equations

               -2a - 2b = -50

              + 2a + 4b = 70

            ______________

                         2b = 20

Step four: Divide both sides by 2 in order to solve for b

                2b = 20 ⇒ b = 10  

Because b represents the number of 4-seated cars, you now know that there are 10 4-seated cars on the ride.          

3 0
3 years ago
Find the surface area of the right prism:
REY [17]

Answer:

A) 200 in²

Step-by-step explanation:

Height of the front rectangle

sqrt(6² + 6²)

6sqrt(2)

3 rectangles + 2 triangles

(6×8) + (6×8) + (8×6sqrt(2)) + (2×½×6×6)

132 + 48sqrt(2)

199.8822509939

8 0
3 years ago
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