HELP PLEASE I DONT UNDERSTAND THIS AT ALL slope =

Please help me answer #4, #5 and #6

Salsk061 [2.6K]

Answer:

4). The Washington Monument is 169.2-m tall.

Step-by-step explanation:

4). We know this because...

person 1.8 0.7

---------- = ----- = -------

Wash. x 65.8

We then know to cross-multiply to get:

1.8(65.8) = 0.7x

Which simplifies down to:

118.44 = 0.7x

x = 169.2

Answer:

5). The pond is 180ft wide.

Step-by-step explanation:

5). We know this because...

90 120

----- = -------

135 x

We then know to cross-multiply to get:

90x = 120(135)

Which simplifies down to:

90x = 16200

x = 180

Answer:

6). The height of the clock tower is 13ft 9in.

Step-by-step explanation:

6). We know this because...

person 5.5 4

---------- = -------- = -----

clock x 10

We then know to cross-multiply to get:

5.5(10) = 4x

Which simplifies down to:

55 = 4x

x = 13.75 (13 ft 9 in)

7 0

3 years ago

Please help with this....

Dima020 [189]

Answer:

i think its 20

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please help!!!!! I’ll give brainlyist

Eddi Din [679]

Answer:

l×h×w

16×16×16=4096

7 0

3 years ago

Read 2 more answers

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in slope-intercept formula, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of k and m.

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

Will give brainlist!

Ainat [17]

A segment bisector is a geometric figure that divides the line segment exactly in half.

Vertical angles theorem states that vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent.

4 0

3 years ago