A reference angle is always between 0-90. so 360-295=65deg.
<span>Hints: </span>
<span>Quadrant I angle: reference angle is same as given angle. </span>
<span>Quad II: subtract angle from 180 </span>
<span>Quadrant III: subtract 180 from angle </span>
<span>Quad IV: subtract angle from 360.</span>
Answer/Step-by-step explanation:
1. 7x + 2 = 5x + 22 (alternate interior angles are congruent)
Collect like terms
7x - 5x = -2 + 22
2x = 20
2x/2 = 20/2
x = 10
2. 13x - 6 = 10x + 24 (alternate interior angles are congruent)
Collect like terms
13x - 10x = 6 + 24
3x = 30
3x/3 = 30/3
x = 10
3. (12x + 26)° + 46° = 180° (same side interior angles are supplementary)
12x + 26 + 46 = 180
12x + 72 = 180
12x + 72 - 72 = 180 - 72
12x = 108
12x/12 = 108/12
x = 9
4. (5x + 5)° + 135° = 180° (same side interior angles are supplementary)
5x + 5 + 135 = 180
5x + 140 = 180
5x + 140 - 140 = 180 - 140
5x = 40
5x/5 = 40/5
x = 8
Answer:
area of figure = area of rectangle + area of triangle
area of rectangle= length × width
6×4
24yd²
area of triangle= 1/2×base×height
1/2×3×4
3×2
=6yd²
area of figure= 24+6
= 30yd²
Answer: 4x - 13
<h2>
Step-by-step explanation:
</h2>
<em>First, we need to get triple of x:</em>
Triple of x is: 3x
<em>Next is to get the difference between 3x and 13:</em>
x + 3x -13
4x - 13
Hence, the variable expression is 4x - 13
A student ticket cost $4 which is half the price of a full price ticket
