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GrogVix [38]
3 years ago
8

50. If angles are complementary, what’s value of x?

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

x = 14

Step-by-step explanation:

For complementary angles, the sum of two angles is equal to 90 degrees.

We have,

m\angle ABC = 4x-10\\\\m\angle DBC = x+30

ATQ,

4x-10+x+30=90

Taking like terms together,

4x+x =90-30+10

5x = 70

x = 14

So, the value of x is 14.

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3 years ago
3. Consider the sequence,-8, -5, -2, 1, ...
Naddik [55]

Answer:

a) a_n=3\,n-11

b) a_{20}=49

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

a_n=a_1+(n-1)\,d

That in our case would give:

a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11

b)

Therefore, the term number 20 can be calculated from it:

a_{20}=3\,(20)-11=60-11=49

c) in order to find which term renders 20, we use the general form we found in step a):

a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17

so term number 17 is the one that renders a value of 40

5 0
3 years ago
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Alex17521 [72]

Answer:

-8/10, -3/16, 3/16

Step-by-step explanation:

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Patrick wants to play laser tag. It costs $9.00 per game and he gets a student discount of $10. Write an equation to represent t
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Answer:

T=9x-10

Step-by-step explanation:

Let x be the number of games

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Let the total cost be T

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What is the segment length of ST
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