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
Answer:
? is that the question? is there a link for it or something?
Step-by-step explanation:
Answer:
B - Lower case letters
Step-by-step explanation:
In algebra, unknown quantities are usually represented as lower-case letters like
etc.
Here you go!! Hope this helps
The sum of the interior angles of the polygon shown is 540 degrees
<em><u>Solution:</u></em>
<em><u>The sum of the measures of the interior angles of a polygon with n sides is:</u></em>

From given figure in question,
Number of sides in polygon = 5 ( which is a pentagon )
Therefore,
n = 5
<em><u>Thus the sum of measures of interior angles is:</u></em>

Thus the sum of the interior angles of the polygon shown is 540 degrees