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Alex_Xolod [135]
4 years ago
6

3. Triangle ABC has angle measures as shown. a) What is the value of x? Show your work.

Mathematics
2 answers:
VladimirAG [237]4 years ago
8 0
As always, the sum of the measures of the angles in a triangle is 180°.

(x -5) +(3x +30) +35 = 180
4x +60 = 180 . . . . . . . . . . . . . collect terms
4x = 120 . . . . . . . . . . . . . . . . . subtract 60
x = 30 . . . . . . . . . . . . . . . . . divide by 4

a) The value of x is 30.
satela [25.4K]4 years ago
3 0
The sum of the angles in a triangle is 180°, therefore:
(x - 5) + (3x + 30) + 35 = 180
x - 5 + 3x + 30 + 35 = 180
Sum up x + 3x
4x  - 5 + 30 + 35 = 180
Sum up all the numbers
4x + 60 = 180
Substract 60 from both sides
4x = 120
And finally divide by 4 (on both sides)
x = 30

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a country population in 1993 was 94 million in 1999 it was 99 million estimate the population in 2005 using the exponential grow
tester [92]
K = ln(ending amt/bgng amount)/6 years
k = ln(99,000,000/94,000,000) / 6 years
k = ln( <span> <span> <span> 1.0531914894 </span> </span> </span> ) / 6 years
k = <span> <span> <span> 0.0518250679 </span> </span> </span> / 6
k = <span> <span> <span> 0.0086375113</span></span></span>

Final population = bgng*e^k*years
Where "e" is the mathematical constant 2.718281828
Final population = 94,000,000*e^<span>0.0086375113*12</span>
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Final population = <span> <span> <span> 104,265,957 </span> </span> </span>


5 0
4 years ago
Peter lives in San Mateo. He bought an item for $528.9 and when the clerk calculated the sales tax it came out to exactly $55.67
velikii [3]
560.00

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8 0
3 years ago
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Find the sides of a triangle if two of its sides are equal, the third side is 1 1 3 cm longer than the others, and its perimeter
Helga [31]

Answer: 137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm

Step-by-step explanation:

Let x be the equal sides of the triangle .

The , the third side would be x+113 cm.

The perimeter is the sum of all sides of a triangle.

So , The perimeter of triangle would be  x+x+(x+113)= 3x+113 --------(1)

Since , it is given that the perimeter of triangle is 525. -----(2)

So from (1) and (2) , we have

3x+113=525\\\\ 3x=525-113=412\\\\ x=\dfrac{412}{3}=137\dfrac{1}{3}

Then, third side = 137\dfrac{1}{3}+113=250\dfrac{1}{3}\ cm

Hence , the sides of a triangle  are:137\dfrac{1}{3}\ cm,\ 137\dfrac{1}{3}\ cm,\ 250\dfrac{1}{3}\ cm

7 0
4 years ago
Find the rule and complete the
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Answer:

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5 0
3 years ago
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Write the polynomial as a product: 15x^3z+30x^2–18yz–9xyz^2
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15x³z + 30x² - 18yz - 9xyz² =

= 15x³z + 30x² - 9xyz² - 18yz =

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= (15x² - 9yz)(xz + 2)

8 0
3 years ago
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