The correct answer is
°.
To solve for
, you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures
°, you can subtract the given values from
° to find the measures of the respective supplementary interior angles. That would give you
°
and
°
.
Now, knowing that the measure of all the interior angles of a triangle is also
°, you can add the two interior angles you know
and subtract those from
°. Doing so would give you the measure of the missing third angle, which is
°.
Finally, because angle
is the supplementary angle of the missing angle from the previous step, simply subtract that angle's measure from
° to find
°, which is
or
°.
The slope (m) represents the cost per person.
That inequality can be written as n >= 4
The ">=" represents greater than or equal to. On paper you would just add a horizontal line under the ">" and not include the "="
Answer:
<h2>12.5</h2>
Step-by-step explanation:
That would be 12.5 because 12.51 is closer to 12.50 than it is compared to 12.6.
The distance, In feet, from the base of the ladder to the base of the wall is 4.2 ft.
He needs to move the ladder 0.1 ft closer to the base of the building.
The situation forms a right angle triangle.
<h3>Right angle triangle</h3>
Right angle triangle has one of its angles as 90 degrees. The sides and angle can be found using trigonometric ratios.
The length of the ladder is the hypotenuse of the triangle formed. Therefore, the distance, In feet, from the base of the ladder to the base of the wall can be calculated as follows;
cos 65° = adjacent / hypotenuse
cos 65° = d / 10
d = 10 × 0.42261826174
d = 4.22618261741
d = 4.2 ft
She needs to move the ladder so it reached a window 9.6 feet above the ground. Therefore, the distance from the base of the ladder and the wall is as follows;
cos 65 = d / 9.6
d = 9.6 × 0.42261826174
d = 4.05696
d = 4.1
Therefore, he needs to move the ladder 0.1 ft closer to the building.
learn more on right angle triangle here: brainly.com/question/14988069
