Answer:
Step-by-step explanation:
In the diagram shown, the measure of angle 1 is oppositely directed to angle 2 and oppositely directed angles are equal.
Hence <1 = <3
Given < 1 = 3x-1 and <3 = 2x+9
Hence 3x-1 = 2x+9
collect like terms
3x-2x = 9+1
x = 10°
Since <1 = 3x-1
on substituting x = 10
<1 = 3(10)-1
<1 = 30-1
<1 = 29°
<1+<2 = 180 (angle on a straight line)
29+<2 = 180
<2 = 180-29
<2 = 151°
Similarly, on substituting x = 10 into <3
<3 = 2x+9
<3 = 2(10)+9
<3 = 20+9
<3 = 29°
<3+<4 = 180 (angle on a straight line)
29+<4 = 180
<4 = 180-29
<4 = 151°
Answer:
Round 3 the grandmas
Step-by-step explanation:
Answer:
Let x= number of games bowled.
Amount spent at Vista Bowl=2+3.5x
Amount spent at Pinz Bowl=5+3.25x
Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:
2+3.5x=5+3.25x setting equations equal
3.5x-3.25x=5-2 combining like terms
0.25x=3 simplify
(1/4)x=3 changing decimal into a fraction
x=(3)(4) multiply both sides by 4 to isolate the x
x=12 answer
Step-by-step explanation:
Answer $22.50
Step-by-step explanation:
$9 X 2 = 18 and 6 oranges + 6 oranges = 12
if you divide 9 by 6 you get 1.5 so that means its 1.50 for each orange individually.
which makes 15 oranged 22.50
By pythagorus theorum In triangle ADC
AD²=AB²-BD²
AD²=(6.2)²-(2.7)²
AD=5.5
Again in triangle ADC
AC²=AD²+BC²
AC²=(5.5)²-(2.5)²
AC²=30.25-6.25
AC=4.8 approx..