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Elanso [62]
3 years ago
8

HELP PLZZ!!!! (pic attached)

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

cual se sipone que hay que responder?

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I have two questions. Please try to answer both!
OlgaM077 [116]

Answer:

(a)59

(b)d=\dfrac{1}{2}

Step-by-step explanation:

<u>Part A</u>

The nth term of an arithmetic sequence, T_n=a+(n-1)d

Let the first angle of the triangle =a

Let the common difference = d.

Since the measures of the angles are in an arithmetic progression

We have:

a + (a + d) + (a + 2d) = 180

3a+3d=180

a+d=60

Since a or d cannot be equal to zero, the minimum possible values of a and d is 1 and the maximum possible values of a and d is 59.

Therefore, there are 59 non-similar triangles.

<u>Part B</u>

In an arithmetic sequence

a_7 -2a_4 = 1, a_3 = 0.

2a_4=a_7-1\\a_4=\dfrac{a_7-1}{2}

Common difference,

d=a_4-a_3\\=\dfrac{a_7-1}{2}-0\\d=\dfrac{a_7-1}{2}

a_7=a_4+3d\\=\dfrac{a_7-1}{2}+3(\dfrac{a_7-1}{2})\\=\dfrac{a_7-1}{2}+\dfrac{3a_7-3}{2}\\=\dfrac{a_7-1+3a_7-3}{2}\\a_7=\dfrac{4a_7-4}{2}\\$Cross multiply\\2a_7=4a_7-4\\2a_7-4a_7=-4\\-2a_7=-4\\a_7=2

Therefore:

d=\dfrac{2-1}{2}\\d=\dfrac{1}{2}

7 0
4 years ago
Which event has a probability of zero?
Firlakuza [10]
Choosing a pair of parallel lines that have unequal slopes: Impossible, since parallels have same slope
4 0
3 years ago
What is the value of the expression below if h = 9?<br><br> 4h – (h + 15)
lianna [129]

Answer: 3h−15

Step-by-step explanation:

Distribute the Negative Sign:

=4h+−1(h+15)

=4h+−1h+(−1)(15)

=4h+−h+−15

Combine Like Terms:

=4h+−h+−15

=(4h+−h)+(−15)

=3h+−15

4 0
3 years ago
Read 2 more answers
Which ordered pair is a solution of the equation below? y=-7+2x?
Maru [420]
The answer to this question is:
  x  y  
(1,-5)   so the equation would be   -5=-7+2(1)   
                                                      -5=-7+2       -7+2=-5
                                                       -5=-5
hope this helps;)
8 0
3 years ago
X^3 - 5x^2 + 2x + 8 = 0; x - 2 factor and find all roots
balandron [24]

Answer:

The zeroes are -1, 2, and 4. Factored: (x+1)(x-4)(x-2)=0

Step-by-step explanation:

6 0
3 years ago
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