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zloy xaker [14]
3 years ago
13

2 lines intersect. Where the 2 lines intersect, 4 angles are created. Labeled clockwise, from uppercase right: angle 1 (3 x minu

s 1) degrees, angle 2 is blank, angle 3 (2 x + 9) degrees, and angle 4 is blank. What are the numerical measures of each angle in the diagram? ∠1 and ∠3 measure degrees. ∠2 and ∠4 measure degrees.
Mathematics
1 answer:
erastova [34]3 years ago
8 0

Answer: angle 1 and 3 measure 29 degrees.

angle 2 and 4 measure 151 degrees.

Step-by-step explanation:

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Paul brought $37 to the art supply store. He bought a brush a sketchbook and a paint set. The brush was 1/3 as much as the strec
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Answer: B = $ 3.25

S = $ 9.75

P = $ 19.5

Step-by-step explanation: Please find the attached file for the solution

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Which unite rate is the lowest price per ounce?
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3.49/25 = $0.14 per ounce
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3 years ago
Evaluate : <br> \(\cos 12 \cos 24 \cos 36 \cos 48 \cos 72 \cos 84\)
NeTakaya
The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A) 

<span>= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) </span>

<span>= (1/4){4cos^3(A) - 3cos(A)} = (1/4)*cos(3A) </span>

Now we group applying what we see above

<span>cos(12)*cos(48)*cos(72) = </span>
<span>=cos(12)*cos(60-12)*cos(60+12) = (1/4)cos(36) </span>

<span>Similarly, cos(24)*cos(36)*cos(84) = (1/4)cos(72) </span>

<span>Now the given expression is: </span>

<span>= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = </span>

<span>= (1/16)*(1/2)*{(√5 + 1)/4}*{(√5 - 1)/4} [cos(60) = 1/2; </span>
<span>cos(36) = (√5 + 1)/4 and cos(72) = cos(90-18) = </span>
<span>= sin(18) = (√5 - 1)/4] </span>
<span>And we seimplify it and it goes: (1/512)*(5-1) = 1/128</span>
4 0
4 years ago
How many solutions will each system of linear equations have? Match the systems with the correct number of
JulsSmile [24]

Answer:

Step-by-step explanation:

Given that,

y = x + 6 equation 1

3x - 3y = -18.  Equation 2

Substitute equation 1 into equation 2

3x-3(x+6) = -18

3x - 3x - 18 = -18

-18 = -18

Therefore, it has no solution. Check attachment for echelon matrix solution

B. y = -2x + 5 equation 1

2x + y = -7.  Equation 2

Substitute equation 1 into 2

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Since the equation is not balance, then, it has infinite numbers of solution.

C. y = -4x + 11.  Equation 1

6x + y = 11.   Equation 2

Substitute equation 1 into 2

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2x = 11 - 11

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x = 0

Also, y = -4x + 11

y = 0 + 11 = 11

Then, this has a unique solution I.e. one solution.

5 0
3 years ago
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