Answer:
sin(x) = opposite_side / Hypotenuses
sin(35) = x/5
x = 5 sin(35) = 2.87
Step-by-step explanation:
answer
congruent trapezoide for one
0,5(9+12)×1,5=15,75
area of picture frame =4×15,75=63
Answer:
4.53
Step-by-step explanation:
Given the data :
4, 5, 10, 11, 15
The mean = 9
The standard deviation of a sample :
s = √[Σ(x - mean)²/(n-1)]
s = √[((4-9)² + (5-9)²+(10-9)² + (11-9)² + (15-9)²) / (5-1)]
s = √(25+16+1+4+36)/4
s = √20.5
s = 4.527
s = 4.53
Answer:
1)m<ABH=121°
2)m<GDF=59°
3)X=35
4)m<ABC=59°
5)m<EDA=59°
Step-by-step explanation:
1. You want to find X, so since the two expressions are Alternate Interoir Angles they equal each other
5x-54=3x+16
5x-3x-54=3x-3x+16
2x-54=16
2x-54+54=16+54
2x=70
2x/2=70/2
X=35
2. Now plug in X to each equation to test if it works
5(35)-54=3(35)+16
175-54=105+16
121=121
3. Now replace the two expressions with 121
4. Let's begin with <ABH. Since <ABH is verticle to 3x+16 they equal each other.
5. <GDF is right next to 5x-54 and they're on the same line meaning they equal 180°. So 180-121=59, this is also the reasoning with <EDA with 5x-54 and <ABC with 3x+16
NOTE: THIS ONLY IS TRUE IF LINE HC AND LINE GE ARE PARALLEL.
