Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Option C:
x = 30
Solution:
The given image is a triangle.
angle 1, angle 2 and angle 3 are interior angles of a triangle.
angle 4 is the exterior angle of a triangle.
m∠4 = 2x°, 
, m∠3 = 20°
Exterior angle theorem:
<em>In triangle, the measure of exterior angle is equal to the sum of the opposite interior angles.</em>
By this theorem,
m∠4 = m∠2 + m∠3
Subtract 
on both sides of the equation.
To make the denominator same and then subtract.
Multiply by 
on both sides of the equation.
x° = 30°
x = 30
Hence option C is the correct answer.
Answer:
4 + 3x
Step-by-step explanation:
Let the number = x
Product of three and a number = 3*x = 3x
Sum of four and 3x = 4 + 3x
Subtract what has already been loaded from total amount allowed:
23500 - 9700 = 13,800
Divide the amount left by the weight of each crate:
13,800 / 70 = 197.14
They can load 197 crates.
50 over 360 * 7.2*pi = 3.14159...
