This is a 30-60-90 triangle, in which the side opposite of the 90 degrees is the longest side (2), the side opposite of the 60 degrees is the √3 (2√3 in this case), and the last side (opposite of the 30 degrees) is the (1)
2√3/√3 = 2
So the side opposite of the 30° = 2
a) the width is 2 miles
The length of the side walk is 2(a)
a = 2
2(2) = 4
b) The length of the sidewalk is 4 miles
hope this helps
You would find the sign if the signs are not the same if you are dividing or multiplying its negitve if its the same its positive
Answer:
(3,6)
Step-by-step explanation:
The triangle shown in figure is translated up 5
To find how coordinate of C
Original coordinate of C:(2,1),
Translation has two types: verbal and horizontal.
For verbal translation: either shift up or down
1. For up shift: add value in Y-cordinate
2. For down shift: subtract value in y coordinate
• For horizontal translation: either shift left or right
I. For left shift: subtract value in x-cordinate
II. For right shift: add value in x-cordinate
C: (3,1)shift 5 unit up
So, add 5in y-cordinate
(3,1)→(3,1+5)
(3,1)→(3:6)
Hence, the new coordinate of point C is (3,6)
Answer:
-9
Step-by-step explanation:
The additive inverse of 4 is -4. Why? 4 + -4 = 0
-4 - 5 = -9
Question 2:
The answer is 21
The two angles are vertically opposite, which makes them equal and also means we can make an equation:
4x - 4 = 3x + 17
- 3x
x - 4 = 14
+ 4
x = 21
Question 3:
The answer is 23
Again, the angles are vertically opposite, so we can make them equal each other:
5x - 53 = 3x - 7
- 3x
2x - 53 = -7
+ 53
2x = 46
÷ 2
x = 23
I hope this helps!
