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3 years ago

Can you help with this? Thank you!

Mathematics

2 answers:

Gnom [1K]3 years ago

5 0

To solve for j, cross multiply:

4 x 45 = 18 x j

180 = 18j

Divide both sides by 18:

j = 10

ExtremeBDS [4]3 years ago

3 0

j=10

if you dont need an explanation dont read this:

firstly you reduce the 4/18 by 2 (<em>basically simplifying</em>) , which then becomes 2/9..

then you cross the 2 by 45 and 9 to j (<em>you multiply 2x45 and 9xj=9j</em>)

so it equals to 90=9j

then you divide both sides by 9

j=10

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Given:

Line a passes through (2, 10) and (4, 13).

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Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution:

If a line passes through two points, then the slope of line is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Line a passes through (2, 10) and (4, 13). So, slope of this line is

$m_a=\dfrac{13-10}{4-2}=\dfrac{3}{2}$

Line b passes through (4, 9) and (6, 12). So, slope of this line is

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Line c passes through (2, 10) and (4,9). So, slope of this line is

$m_c=\dfrac{9-10}{4-2}=\dfrac{-1}{2}$

Product of slopes of to perpendicular lines is -1.

$m_a\cdot m_b=\dfrac{3}{2}\times \dfrac{3}{2}=\dfrac{9}{4}\neq -1$

$m_b\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1$

$m_a\cdot m_c=\dfrac{3}{2}\times \dfrac{-1}{2}=\dfrac{-3}{4}\neq -1$

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3 years ago

14. One angle of a triangle has measure 23° 40' and another

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Hello!

180 °- 23°40' - 41°19'

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Let p be the population proportion of crashes.

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From z-table , the z-value corresponding to 95% confidence interval = z=1.96

Required sample size will be :

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