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GenaCL600 [577]
3 years ago
10

The measures of the angles of ABC are given by the expressions in the table A( 6X - 1 ) ° B 20° C ( x + 14 ) ° what are the meas

ures of angles A and C ? Enter your answers in the boxes mA = mC = ​
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees. This means that in triangle ABC,

Angle A + angle B + angle C = 180

Therefore,

6x - 1 + 20 + x + 14 = 180

6x + x + 20 + 14 - 1 = 180

7x + 33 = 180

Subtracting 33 from the left hand side and the right hand side of the equation, it becomes

7x + 33 - 33 = 180 - 33

7x = 147

Dividing the left hand side and the right hand side of the equation by 7, it becomes

7x/7 = 147/7

x = 21

Therefore

Angle A = 6x - 1 = 6 × 21 - 1

Angle A = 125 degrees

Angle C = x + 14 = 21 + 14

Angle C = 35 degrees.

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Which relationships have the same constant of proportionality between yyy and xxx as the equation 3y=27x3y=27x3, y, equals, 27,
Tanya [424]

Answer:

A, B and C

Step-by-step explanation:

In the equation: 3y=27x

Making y the subject of the equation, we have:

y=\frac{27}{3}x\\y=9x

The constant of proportionality between y and x  is 9.

We want to determine which relationships have the same constant of proportionality 9.

<u>Option A</u>

y=9x

The constant of proportionality is 9.

<u>Option B</u>

2y=18x

Divide both sides by 2 to obtain: y=9x

The constant of proportionality is 9.

<u>Option C</u>

x=3, y=1/3

Substitution into y=kx gives:

1/3=3k

k=9

The constant of proportionality is 9.

<u>Option D</u>

x=6, y=2/3

Substitution into y=kx gives:

2/3=6k

k=2/3*6=4

The constant of proportionality is 4.

<u>Option E</u>

When x=2, y=18

Substitution into y=kx gives:

18=2k

k=9

However, when x=4, y=27

Substitution into y=kx gives:

27=4k

k=6.75

This is not a proportional relation since the constant of proportionality is not equal.

The correct options are A, B and C

4 0
3 years ago
What is the area of the triangle?<br> 4<br> 6<br> units?<br><br> I NEED HELP
fgiga [73]

Answer: I believe its 24.

5 0
3 years ago
Read 2 more answers
A classroom has 4 new boxes of chalk and 6 individual pieces of chalk in use. How many total pieces of chalk are in the classroo
AveGali [126]
The total number of pieces of chalk in the classroom will be the number of pieces in the 4 boxes in addition to the six individual pieces.

The average box of chalk holds 12 pieces of chalk
This means that 4 boxes have 12*4 = 48 pieces

Total number of pieces = 48 + 6 = 54 pieces of chalk
8 0
2 years ago
What is the solution to this equation 10x-15x+5=-45+20
nataly862011 [7]

Answer:

<h2>6</h2>

Step-by-step explanation:

10x - 15x + 5 =  - 45 + 20

Collect like terms

- 5x + 5 =  - 45 + 20

Calculate the sum

- 5x + 5 =  - 25

Move constant to RHS and change its sign

- 5x =  - 25 - 5

Calculate

- 5x =  - 30

Divide both sides of the equation by -5

\frac{ - 5x}{ - 5}  =   \frac{ - 30}{ - 5}

Calculate

x = 6

Hope this helps...

Best regards!!

8 0
3 years ago
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What percent of 96 is 36
Stells [14]
If you divide 36 by 96, you get 0.375.
That get's you %37.5!

Divide 36 by 96, then divide the answer by 100

3 0
3 years ago
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