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bulgar [2K]
3 years ago
5

the measure of the exterior angle at B is(6x-7) degrees.Angle CAB is (2x) degrees and angle BCA is (103-x) find for x.

Mathematics
1 answer:
stiks02 [169]3 years ago
8 0
Check the picture below.

the interior angle at B is a linear angle with the exterior angle, thus their sum is 180°, so if we subtract 6x - 7 from 180°, what's  leftover is the interior angle at B.

keeping in mind that the sum of all interior angles in a triangle add up to 180°, thus

\bf \stackrel{A}{(2x)}+\stackrel{B}{[180-(6x-7)]}+\stackrel{C}{(103-x)}=180
\\\\\\
2x+[187-6x]+103-x=180\implies 2x+187-6x+103-x=180
\\\\\\
-5x=-110\implies x=\cfrac{-110}{-5}\implies x=22

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Elena L [17]

c(f) =  \frac{5}{9} (f - 32)
4 0
3 years ago
In a certain clothing store,6 shirts and 3 ties cost $79.50 ,and 3 shirts and 2 ties cost $41. determine the cost of each shirt.
Komok [63]

Answer:

Each shirt cost $12

Step-by-step explanation:

First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.

6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41

Hence we have two equations, and we solve them simultaneously.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the

2(6s+3t=79.5)

12s+6t=159 Equation 3

3(3s+2t=41)

9s+6t=123 Equation 4

We subtract equation 4 from equation 3.

12s+6t=159

9s+6t=123

12s-9s=3s

6t-6t=0

159-123=36

We therefore have

3s=36

Divide both sides by 3

s=36/3

s=12

One shirt cost $12

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=4%20%5Cfrac%7B1%7D%7B2%7D%20x%20%5Cfrac%7B2%7D%7B3%7D%20" id="TexFormula1" title="4 \frac{1}{2
aleksley [76]

Answer:

Step-by-step explanation:

4\frac{1}{2}* \frac{2}{3} =\frac{9}{2} *\frac{2}{3} =3

8 0
3 years ago
Which of the following equations describes the line shown below? Check all
Brilliant_brown [7]

Answer:

y = 7 x + 15

Step-by-step explanation:

6 0
3 years ago
A surf instructor has an initial fee of $12 and charges $8 per hour for lessons. Explain how to determine what the y-intercept i
Fittoniya [83]
At time t = 1 hr... fee is initial ($12)+ ($8) = 20<span><span>ribhu </span> 10 months ago</span>and so on... the intercept would be initial fee... which is $12 charged at t=0 hr
thats the best i can do

3 0
3 years ago
Read 2 more answers
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