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Llana [10]
3 years ago
12

Find the size of the marked angles​

Mathematics
2 answers:
umka21 [38]3 years ago
7 0
B=55 c=40 hehehehehehehee
morpeh [17]3 years ago
3 0

Answer:

b = 55°

c = 35°

Step-by-step explanation:

b° = 180° - (85°+40°) = 180° - 125° = 55°

c° = 180° - (b°+90°) = 180° - (55°+90°) = 180° - 145° = 35°

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Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...​
AVprozaik [17]

Answer: 39.

Step-by-step explanation:

As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.

3 0
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
6 0
3 years ago
Help me please with numbers 1-8 I'm stuck!!
siniylev [52]
Hopefully this helps, and sorry I didn't do 8 I'm limited on time

5 0
3 years ago
Which is the graph of a quadratic equation that has a negative discriminant?
Natasha2012 [34]

Answer:

D

Step-by-step explanation:

A negative discriminant indicates that the quadratic equation has no real roots.

Thus the graph does not touch or intersect the x- axis

The only graph that does not touch or intersect the x- axis is the fourth one

5 0
2 years ago
Read 2 more answers
How to change 50/12 to a mixed number?
11111nata11111 [884]
A mixed number is one that has an integer along with a proper fraction, so that would be (for this improper fraction):

50/12 = 4 1/6

12 goes into 50, 4 times with a remainder of 2

you get: 4 and 2/12, but 2/12 can be reduced further to 1/6

so that's how i got the answer of 4 1/6
7 0
3 years ago
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