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lozanna [386]
3 years ago
8

Someone Please help me answer this question.

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Note ∠ Q is a right angle = 90°

Sum the angles and equate to 180

7b + 14 + 6b + 11 + 90 = 180, that is

13b + 115 = 180 ( subtract 115 from both sides )

13b = 65 ( divide both sides by 13 )

b = 5

Thus

∠ R = 6b + 11 = 6(5) + 11 = 30 + 11 = 41°

∠ S = 7b + 14 = 7(5) + 14 = 35 + 14 = 49°

∠ Q = 90°

erica [24]3 years ago
5 0

Answer:

∠Q = 90°

∠S = 49°

∠R = 41°

Step-by-step explanation:

  • the sum of the interior angles of a triangle is 180°

it means ∠Q + ∠S + ∠R = 180°

to find the value of b:

90 + 7b + 14 + 6b + 11 = 180

7b + 6b = 180 - 90 - 14 - 11

13b = 65

b = 65/13

b = 5

so the measure of S:

7 * 5 + 14 =  49

and the measure of R:

6 * 5 + 11 = 41

∠Q = 90°

∠S = 49°

∠R = 41°

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15. a music concert is organized at a memorial auditorium. the first row of the auditorium has 16 seats, the second row has 24 s
Drupady [299]

The equation for the nth term in the arithmetic sequence is   8n + 8.

The number of people that can be accommodated in the 16th row is 136.

<h3>What is an  arithmetic progression?</h3>

Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Given that,

No. of seats in first row = 16

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First term = a = 16

common difference d = 8

Number of terms, n = 50

(A) The formula for the n th term of an arithmetic progression is given by

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(B) Now,

n = 16

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T(16) = 8 x 16 + 8

T(16) = 136 seats

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To learn more about arithmetic progression  from the given link:

brainly.com/question/24205483

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4 0
1 year ago
The rate (in liters per minute) at which water drains from a tank is recorded at half-minute intervals. Use the average of the l
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Answer:

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Step-by-step explanation:

Data provided in the question:

t (min)     0     0.5      1     1.5      2      2.5      3

r (l/min)    44    40     37     34     30     27      23

Now,

left endpoint approximation

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= 0.5 × 212

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Right endpoint approximation

= 0.5 × ( 40 + 37 + 34 + 30 + 27 + 23 )

= 0.5 × 191

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Therefore,

the average of the left- and right-endpoint approximations

= [ 106 + 95.5 ] ÷ 2

= 100.75 liters

3 0
3 years ago
How do I find the answer to 10.3 = 0.6y? Having trouble with my math.
Nuetrik [128]

we are given

10.3 = 0.6y

for finding y , we can isolate y

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\frac{10.3}{0.6} =\frac{0.6y}{0.6}

y=\frac{10.3}{0.6}

y=\frac{103}{6}.............Answer

4 0
3 years ago
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