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3 years ago

1. TRIANGLES The ratios of the measures of the

Mathematics

1 answer:

maw [93]3 years ago

7 0

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

x=180°/36

x=5

angle D=7x

=7(5)

D=35°

angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

F=80°

angle D=35°

angle E=65°

angle F=80°

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Answer:

(1,2)

Step-by-step explanation:

to find the midpoint of a line you have to find the midpoint of the x and the y

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3 years ago

Write the sum using summation notation, assuming the suggested pattern continues.

Usimov [2.4K]

Answer:

Sum of the sequence will be 648

Step-by-step explanation:

The given sequence is representing an arithmetic sequence.

Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6

3 - (-3) = 3 + 3 = 6

Since last term of the sequence is 81

Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence

$T_{n}=a+(n-1)d$

where a = first term of the sequence

d = common difference

n = number of terms

81 = -9 + 6(n - 1)

81 + 9 = 6(n - 1)

n - 1 = $\frac{90}{6}=15$

n = 15 + 1 = 16

Now we know sum of an arithmetic sequence is represented by

$\sum_{n=1}^{n}(a_{n})=\frac{n}{2}(a_{1}+a_{n})$

Now we have to find the sum of the given sequence

$S_{16}=\frac{16}{2}[-9 + (16-1)6]$

= 8[-9 + 90]

= 8×81

= 648

Therefore, sum of the terms of the given sequence will be 648.

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3 years ago

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kicyunya [14]

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3 years ago

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3 years ago

Read 2 more answers

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RoseWind [281]

Answer:

A = 0.43 B = 0.49

Step-by-step explanation:

For A: The options are between 0.40 and 0.45. A is plotted on the 3rd line from 0.40. That makes the answer 0.43.

For B: It is in the middle of 0.45 and 0.50. It is plotted on the 4th line from 0.45, which is 0.49.

A = 0.43; B = 0.49

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3 years ago