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kotegsom [21]
3 years ago
10

Finding angle measures between intersecting lines

Mathematics
2 answers:
padilas [110]3 years ago
5 0

Answer:

x = 60°

Step-by-step explanation:

First, note that the 30° angle and Angle CGE are vertical angles; therefore, Angle CGE is also a 30° angle.

Next, note that Angles CGE and x are complementary angles; that is, they sum up to 90°.

Subtracting Angle CGE (a 30° angle) from 90° yields 60°.  This is the desired answer:  x = 60°

Doss [256]3 years ago
3 0

Answer:

x = 60°

Step-by-step explanation:

G= 90°

30 + 90 = 120

180 - 120 = 60

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Bas_tet [7]

you would have to divide each side by 2 which would make it x is greater than or equal to 3 hope this helps

5 0
3 years ago
The sum of three times a number, and 3, is equal to two times the number.
ale4655 [162]

3x + 3 = 2x

three times a number = 3x ,and 3 = 3x + 3, is equal to two times the number =

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3 years ago
Find the 12th term of the geometric sequence 5, -25, 125, ...5,−25,125,...
katovenus [111]

Answer:

  • a_{12}=-244140625

Step-by-step explanation:

Considering the geometric sequence

5,-25,\:125,\:...

a_1=5

As the common ratio 'r' between consecutive terms is constant.

\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}

r=\frac{-25}{5}=-5

r=\frac{125}{-25}=-5

The general term of a geometric sequence is given by the formula:  

a_n=a_1\cdot \:r^{n-1}

where a_1 is the initial term and r the common ratio.

Putting n = 12 , r = -5 and a_1=5 in the general term of a geometric sequence to determine the 12th term of the sequence.

a_n=a_1\cdot \:r^{n-1}

a_n=5\left(-5\right)^{n-1}

a_{12}=5\left(-5\right)^{12-1}

      =5\left(-5^{11}\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a

       =-5\cdot \:5^{11}

\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}

        =-5^{1+11}     ∵ 5\cdot \:5^{11}=\:5^{1+11}

        =-244140625

Therefore,

  • a_{12}=-244140625
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3 years ago
You have 1 pizza, and cut off all the crust from it so that the crust forms a line. How long is this line in terms of pizza leng
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Answer:

as long as a pizza crust

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yuh yuh yuh yuh yuh yuh

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2 years ago
Are the ratios 18:6 and 3:1 equivalent?
garik1379 [7]

Answer: no

Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600

https://goodcalculators.com/ratio-calculator/

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3 0
2 years ago
Read 2 more answers
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