Answer:
19.0681
Step-by-step explanation:
Given in the question that,
angle from ted to the dog = 60° with the ground
height of ted from the ground = 16ft
To find,
distance between dog and the door of ted's building
Considering the scenario make a right angle triangle:
<h3>By using pythagorus theorem:</h3>
Tan 40 = opposite / adjacent
Tan 40 = height / distance between dog and the door
Tan 40 = 16ft / x
x = 16 / tan40
x = 19.068057
x ≈ 19.0681 (nearest to thousand)
So, the dog need to walk 19.0681ft to reach the open door directly below Ted.
Answer:
5/-3
Step-by-step explanation:
Slope = (y2 - y1)/(x2 - x1)
m = (8 - 3)/(-7 + 4)
m = 5/-3
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
The equivalent expression of a + 5 is -(-a - 5)
<h3>How to rewrite the expression?</h3>
The expression is given as:
a + 5
Multiply by 1
1 * (a + 5)
Express 1 as -1 * -1
-1 * -1 * (a + 5)
Open the bracket
-1 * (-a - 5)
This gives
-(-a - 5)
Hence, the equivalent expression of a + 5 is -(-a - 5)
Read more about equivalent expression at:
brainly.com/question/2972832
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