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oksano4ka [1.4K]
3 years ago
8

What’s the answers for all of these

Mathematics
1 answer:
cupoosta [38]3 years ago
6 0
1. angles 7 and 3, angles 2 and 6
2. angle 1
3. they’re alternate exterior angles
4. they’re consecutive interior angles
5. angle 2
6. angle 4
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A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
3 years ago
Find the total mass of 32 nails each of mass 1.7 grams
Andrews [41]

Answer:

The answer is 54.4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Is 4-6x=4 no solution
Basile [38]
No it has a solution
X=0

Subtract 4 from both sides to get -6x=0
Divide by -6 on both sides you get x=0
4 0
3 years ago
Read 2 more answers
A plumber’s apprentice needs to cut a 54-inch length of pipe so that one piece is twice the length of the other piece. How far f
Burka [1]

Answer:

18 inches

Step-by-step explanation:

To to this you would just divide 54 by 3 and you would get how far away from the endpoint which is 18 inches

5 0
3 years ago
the average of two numbers is 34 the first number is three times the second number what are the two numbers
tino4ka555 [31]
Hi there!

To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, we plug the value of y in the equation to solve for x.

x = 3*17
x = 51

Hope this helps!
7 0
3 years ago
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