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Viktor [21]
3 years ago
9

Find the value of x.

Mathematics
1 answer:
Leona [35]3 years ago
3 0

This is an isosceles triangle. Therefore, at the base we have congruent angles (look at the picture).

We have the equation:

(5x + 13)° + (3x + 7)° = 180°

5x + 13 + 3x + 7 = 180    <em>combine like terms</em>

(5x + 3x) + (13 + 7) = 180

8x + 20 = 180     <em>subtract 20 from both sides</em>

8x = 160      <em>divide both sides by 8</em>

<h3>x = 20</h3>

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the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence​
Crazy boy [7]

Answer:

The  sequence  is:

10, 30, 50, 70, 90.....................

Step-by-step explanation:

We have,

First term (a) = 10

Common difference (d) = ?

Sum of first 5 terms (S_{5}) = 250

or, \frac{n}{2} [{2a+(n-1)d}] = 250

or, \frac{5}{2} [2*10 + 4d]=250

or, \frac{5}{2} * 4[5+d]=250

or, 10(5 + d) =250

or, 5 + d = 25

∴ d = 20

Now,

2nd term = a + d = 10 + 20 = 30

3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50

4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70

5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90

8 0
3 years ago
Your Numbers are; 25, 75, 50, 1, 9, 3 and your Target is 386 How do i get to 386 using only these numbers once and I can use Sub
GuDViN [60]

Answer:

You must order the operations  in the way that it unfolds in the explanation;:

Step-by-step explanation:

(25 x 9) +75 + 50+ 9 x ( 3 + 1)

When performing the operations we have the following results:

(25 x 9) =225 +75= 300+50 = 350+9 = 359 x (3+1 )

Now we must solve the following: 359 x (4) = 386

8 0
3 years ago
How do you solve this y= 6x - 3 y= -3 i need to graph so if you can show how to graph it also
nalin [4]

Answer:

:)

Step-by-step explanation:

y=6x-3

y=-3

-3=6x-3

-3=6x-3

+3     +3

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3 0
3 years ago
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8 0
3 years ago
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Can you help me on this
grigory [225]

Answer:

The answers are x < -65, x > 85, x < 180, x<= -13, and x >=25.

Step-by-step explanation:

For the first three, there's an open circle so the sign for the inequality would be < or > but for the last two, there's a closed circle so the sign for the inequality would be <= or >=, the ones with a line underneath. For 1, 3, and 4, the line goes to the left, showing that x is a number less than the point so it would have <, the less than sign. For 2 and 5, the line goes to the right, showing that x is a number greater than the point so it would have >, the greater than sign.

There's a trick to figuring out the right sign. If the line is pointing to the left, the inequality would be x < __, and the sign is pointng to the left. If the line is pointing to the right, the inequality would be x > __, and the sign is pointng to the right. This only works is x is on the left side of the inequality.

7 0
2 years ago
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