Answer:
First you Set up a ratio where your large side is on top of the fraction and the smaller side is on the bottom of the fraction. Then you Divide the ratio, then set the bottom number to one.
Answer:
The inequality is true.
Step-by-step explanation:
To show that it is true, you simply sub in 4 for x and 5 for y and see if the statement is true or not
7(4)-3(5) < 19
28-15 < 19
13 < 19
Answer:
B) 22.0
Step-by-step explanation:
We solve using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Adjacent = x
Opposite = 8
θ = 20°
tan θ = 8/x
tan 20° = 0.364
0.364 = 8/x
Cross Multiply
0.364 × x = 8
Divide both sides by 0.364
x = 8/0.364
x = 21.978021978
Approximately, x ≈ 22.0
Option B is the correct option
Answer:
32°
Step-by-step explanation:
Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°
147° + ∠2 = 180°
∠2 = 180° - 147° [subtracting 147° from both sides]
∠2 = 33°
Since all internal angles of a triangle add up to 180°,
∠1 + ∠2 + 115° = 180°
∠1 + 33° + 115° = 180°
∠1 + 148° = 180°
∠1 = 180° - 148° [subtracting 148 from both sides]
∠1 = 32°
Answer:
area of the rectangle =
Step-by-step explanation:
width = x cm
length = x + 5 cm
Perimeter = 2(length + width)
width = 7.5cm
length = 7.5 + 5 = 12.5cm
Area of the rectangle = length × width