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Mashutka [201]
2 years ago
10

Triangle angle sum theorem

Mathematics
2 answers:
Gekata [30.6K]2 years ago
5 0
Z will be equal to 16. here’s my work

lubasha [3.4K]2 years ago
4 0

Answer:

z = 16°

Step-by-step explanation:

The sum of angles in a triangle is 180°

∠1 + ∠2 + ∠3 = 180°

(z + 29°) + 55° + 5z = 180°

Collect like terms;

6z + 84° = 180°

Subtract 84° from both sides;

6z = 96°

Divide both sides by 6;

z = 16°

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The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
what is the volume of the prism given that each cube is defined by the fractional edge length of 1/3 inch
Diano4ka-milaya [45]
The equation for volume is length times width times height. So to solve this multiple 1/3x1/3x1/3 because 1/3 is the length, width , and height of the cube(cubes have equal sides). The answer should be 1/27 
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I am Lyosha [343]
The 4 is in the ten thousands place, and the thousands place

hope this helps
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3 years ago
Braden has already taken 1 page of notes on his own, and he will take 2 pages during each hour of class. Write an equation that
beks73 [17]

Answer:

2h=2p

1h=1p

Step-by-step explanation:

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2 years ago
What property proves equivalency?
Olenka [21]

Answer:

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8 0
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