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2 years ago

Two complementary angles have measures 4x and x + 50. Find x.

Mathematics

1 answer:

Inessa05 [86]2 years ago

5 0

Answer:

x =17

Step-by-step explanation:

Complementary angles add to 90

4x+ x+5 = 90

Combine like terms

5x+5 = 90

Subtract 5 from each side

5x+5-5 = 90-5

5x = 85

Divide by 5

5x/5 = 85/5

x =17

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A ball is thrown vertically upwards from the ground. It rises to a height of 10m and then falls and bounces. After each bounce,

Citrus2011 [14]

${\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}$

(i)

$\sf{a_n = 20 \times {( \frac{2}{3} )}^{n - 1} }$

(ii)

$\sf S_n = 60 \{1 - { \frac{2}{3}}^{n} \}$

Step-by-step explanation:

$\underline\red{\textsf{Given :-}}$

height of ball (a) = 10m

fraction of height decreases by each bounce (r) = 2/3

$\underline\pink{\textsf{Solution :-}}$

(i) We will use here geometric progression formula to find height an times

${\blue{\sf{a_n = a {r}^{n - 1} }}} \\ \sf{a_n = 20 \times { \frac{2}{3} }^{n - 1} }$

(ii) here we will use the sum formula of geometric progression for finding the total nth impact

$\orange {\sf{S_n = a \times \frac{(1 - {r}^{n} )}{1 - r} }} \\ \sf S_n = 20 \times \frac{1 - ( { \frac{2}{3} })^{n} }{1 - \frac{2}{3} } \\ \sf S_n = 20 \times \frac{1 - {( \frac{2}{3}) }^{n} }{ \frac{1}{3} } \\ \sf S_n = 3 \times 20 \times \{1 - ( { \frac{2}{3}) }^{n} \} \\ \purple{\sf S_n = 60 \{1 - { \frac{2}{3} }^{n} \}}$

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1 year ago

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Mamont248 [21]

2 and 8 are alternate exterior angles

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3 years ago

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Answer fast please and Thank you

11Alexandr11 [23.1K]

<h3>You should pick:</h3>

The relationship is linear because each y-value is 5 more than the one before it.

<h3>Here's why I think so:</h3>

If we look at the relationship between the x values and the y values, we can tell that they both increase periodically. The x values increase by 1('s), while the y values increase by 5('s).

Think about it. If y starts off at 5 when x is at 0, and then goes to 10 by x becomes 1, and increases another 5 values when x increases by 1 (again), then we are witnessing a pattern. For every 1 x value, y increases by another 5 values. Such a repetitive relationship will clearly be shown with a line. Thus, the relationship is a linear one.

Since we know that the relationship of the table is linear, and that it is linear due to the fact that the y-value continuously increase by 5's without fail, the only answer that would make sense is the second one.

Therefore, the answer is 'The relationship is linear because each y-value is 5 more than the one before it.'

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Sveta_85 [38]

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Step-by-step explanation:

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