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Alik [6]
3 years ago
14

Q7

Mathematics
1 answer:
Andrew [12]3 years ago
4 0

Answer:  d = 4, n = 14

<u>Step-by-step explanation:</u>

S_n=\dfrac{a_1+a_n}{2}\cdot n

\text{Given:}\quad S_n=196, a_1=-12, a_n=40\\\\\\196=\dfrac{-12+40}{2}\cdot n\\\\392=28n\\\\14=n

a_{n}=a_1+d(n-1)\\a_{14}=a_1+d(14-1)\\40=-12+d(14-1)\\52 = 13d\\4=d

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Mumz [18]

Answer:

5

Step-by-step explanation:

We know that 13 is the hypotenuse. With this we can use the Pythagorean Theorem to solve this problem.

Let the third side be x.

13^2=12^2+x^2

169=144+x^2

169-144=x^2

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Solved.

5 0
3 years ago
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8 0
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3 years ago
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Harlamova29_29 [7]

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4 0
4 years ago
A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?
den301095 [7]
Answer: 23 degrees

---------------------------------------
---------------------------------------

Explanation:

Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC

Angle ABC is given to be 46 degrees, the formula we use is shown below

central angle = 2*(inscribed angle)
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23 = angle ADC
angle ADC = 23 degrees

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