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Tanzania [10]
3 years ago
10

Given m||n, find the value of x. + (2x-26) (7x+8)​

Mathematics
2 answers:
melomori [17]3 years ago
6 0

Answer:

value of x is 22°

Step-by-step explanation:

Correct answer

horsena [70]3 years ago
5 0

Given :

m||n, interior angles are (2x-26) and (7x+8).

To Find :

Find the value of x.

Solution :

We know, alternate interior angle of a triangle are supplement to each other.

So, (2x-26) + (7x+8) = 180°

9x - 18° = 180°

9x = 198°

x = 22°

Therefore, the value of x is 22°.

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Read 2 more answers
Exponential growth/decay problem 1
RUDIKE [14]

Answer:

a) growth

b) $500

c) 6% = 0.06

d) f(x)=500(1.06)^x

e) $595.51

Step-by-step explanation:

<u />

<u>Part (a)</u>

Exponential GROWTH, since interest is applied to the account each year.

<u>Part (b)</u>

Initial amount = $500

<u>Part (c)</u>

Growth factor = 6% = 0.06 (in decimal form)

<u>Part (d)</u>

General form of exponential growth function:

f(x)=a(1+r)^x

where:

  • a = initial amount
  • r = rate of growth (in decimal form)
  • x = time (in years)

Given:

  • a = 500
  • r = 0.06

\implies f(x)=500(1+0.06)^x

\implies f(x)=500(1.06)^x

<u>Part (e)</u>

when x = 3

\begin{aligned}\implies f(3) & =500(1.06)^3\\ & = 595.51\: \sf(nearest\:hundredth)\end{aligned}

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2 years ago
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