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Oliga [24]
3 years ago
11

A triangle has three angles that measure 20 degrees. 60 degrees and

Mathematics
1 answer:
Evgesh-ka [11]3 years ago
7 0

all triangles have 180 total degrees, we know this

80 degrees are accounted for, so there's 100 left

3x - 25 = 100

3x = 125

x = 41.67

You might be interested in
1 , 3 , 6 , 10 , 15
Bas_tet [7]

First difference,

\Delta_{1} =  a_{2} - a_{1} = 3 - 1 = 2 = 1  + 1

Second difference,

\Delta_{2} =  a_{3} - a_{2} = 6 - 3 = 3 = 2 + 1

Third difference,

\Delta_{3} =  a_{4} - a_{3} = 10 - 6 = 4  = 3 + 1

And so on.

Assuming the pattern holds on, we see that

i-th difference,

\Delta_{i} =  a_{i + 1} - a_{i} = i + 1

\implies a_{i + 1} = a_{i}  +  i +  1

Then, nth term is,

\implies a_{n} = a_{n - 1} + n

= a_{n - 2}+ (n  + (n - 1))

= a_{n - 3} + (n + (n - 1) +(n - 2))

= a_{n - (n - 1)} + \sum \limits^{n - 2}_{k = 0}(n - k)

= a_1 + \sum \limits^{n - 2}_{k = 0}n-  \sum \limits^{n - 2}_{k = 0}k

= a_1 +n(n -2 + 1 )-  \frac{1}{2} (n - 2)(n - 1)

= a_1 +n(n -1 )-  \frac{1}{2} (n - 2)(n - 1)

= a_1 +(n -1 )(n-  \frac{1}{2} (n - 2))

= a_1 + \frac{1}{2} (n -1 )(2n- n  +  2)

= a_1 + \frac{1}{2} (n -1 )(n  +  2)

\implies a_{n} = 1 + \frac{1}{2} (n -1 )(n  +  2)

Now, the 21st term in the sequence is,

\implies a_{21} = 1 + \frac{1}{2} (21 -1 )(21  +  2)

= 1 + \frac{1}{2}  \times 20 \times 23

= 231

4 0
3 years ago
Please help me with this math problem, urgent please
Lady bird [3.3K]

Answer:

(X+2)(v-5)

Step-by-step explanation:

first, group and factor out the greatest common factor and combine to get (x+2)(v-5)

4 0
3 years ago
What value for x will make the equation true?
Rama09 [41]

Answer:

C . 4

Step-by-step explanation:

step 1 : -3 multiply with inside of the ( 7x-5 )

= -21x + 15

step 2 : then it will be 21x + 15 = 87 + 3x

step 3 : switch between the odds into like this

21x - 3x = 87 - 15

step 4 : subtract it all

18x = 72

step 5 : bring 18 to the other side

x = 72/18

step 6 : to find the ans of x is just calculate them

x = 72 ÷ 18

= 4

Or you can do like these ⬇️

-3 ( 7x - 15 ) = 87 + 3x

21x + 15 = 87 + 3x

21x - 3x = 87 - 15

18x = 72

x = 72/18 or 72÷18

x = 4

4 0
3 years ago
The following equation models a rock that is thrown upward from an elevation of 4.9 feet
Elenna [48]

Answer:

3.0 seconds

Step-by-step explanation:

i took the test.

5 0
3 years ago
Write an equation of the line that passes through (0, 3) and (−5, 2.5)
julia-pushkina [17]

Answer:

y=.1x+3 I think that is the answer

6 0
3 years ago
Read 2 more answers
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