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shtirl [24]
3 years ago
13

Does anyone know the answer to this problem?

Mathematics
1 answer:
vesna_86 [32]3 years ago
6 0
Start with the fact that the sum of the angles in a triangle is 180°.
.. ∠A +∠B +∠C = 180
.. 65 +(3x -10) +(2x) = 180 . . . . . . substitute the given information
.. 55 +5x = 180 . . . . . . . . . . . . . . . collect terms
.. 11 +x = 36 . . . . . . . . . . . . . . . . . . divide by 5*
.. x = 25 . . . . . . . . . . . . . . . . . . . . . subtract 11

∠B = 3x -10 = 3*25 -10 = 65

∠C = 2x = 2*25 = 50
_____
In summary
.. x = 25
.. ∠B = 65°
.. ∠C = 50°

___
* You could subtract 55, then divide by 5. You get the same answer either way. I find it easier to work with smaller numbers, and dividing all these values by 5 is fairly easy.
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cestrela7 [59]
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8 0
3 years ago
Peter is making green paint by mixing blue and yellow paint in a cuboid container, shown below. The container has width of 30cm
dusya [7]

Answer: height = 17.5cm

Step-by-step explanation: Peter mixes blue and yellow paint in the ratio 2:3, which means:

\frac{2}{3} = \frac{8.4}{x}

x = \frac{8.4*3}{2}

x = 12.6L

The container is full with the two paints, so total volume:

V = 12.6 + 8.4

V = 21L

Knowing that 1L = 1dm³ and sides of cuboid is measure in cm:

V = 21dm³ = 21000cm³

Volume of a cuboid is calculated as:

V = width*length*height

Height of the container is

height = \frac{V}{width*length}

height = \frac{21000}{30*40}

height = 17.5cm

The height of the container is 17.5cm.

4 0
2 years ago
A restaurant customer left a $3.50 as a tip. The tax on the meal was 7% and the tip was 20% of the cost including tax. (Complete
Maru [420]

Answer: 17.50

Step-by-step explanation:

20% of x = 3.50

(20/100) x = 3.50  Divide top and bottom of the left number by 20

(20÷20) / (100÷20)  *  x = 3.50

(1/5) x = 3.50           Multiply both sides by 5  

x = 3.50 * 5

x = 17.50

The meal cost 17.50

4 0
2 years ago
Read 2 more answers
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exis [7]

Answer:

0.09 is the same as 9 hundredths

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Step-by-step explanation:

4 0
2 years ago
Colton and his children went into a movie theater and he bought
Ganezh [65]

Answer:

He bought 6 bags of candies, and 5 bags of popcorn

5 0
3 years ago
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