Answer:
Step-by-step explanation:
Area of 19 by 29 rectangle = 551 sq ft
White space:
Area of large triangle = 0.5*15^2 = 112.5 sq ft
Area of 15 by 14 rectangle = 210 sq ft
Area of small triangle = 0.5*4^2 = 8 sq ft
Shaded area = 551 - 112.5 - 210 - 8 = 220.5 sq ft
Answer:
Step-by-step explanation:
m∠JXM + m∠NXP = 180° - m∠MXN = 90°
Answer:
base =5 because all angles=60, so an equilateral triangle
height=4.33
Step-by-step explanation:
height^2+1/2(5)^2=5^2
height^2+6.25=25
height^2=18.75
height=4.33
Answer:
11
Step-by-step explanation:
If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.
AC *CB = CD CE
4 * (10-4) = CD * 8
4 * 6 = 8 *CD
24 = 8 CD
Divide each side by 8
24/8 = CD
3 = CD
We want the length DE
DE = CD + CE
= 3 + 8
DE = 11
Step-by-step explanation:
the slope of a line is always the factor of x.
here : 1/2
it is the ratio y/x indicating how many units y changes, when x changes a certain angina amount of units when going from one point to another.
a perpendicular slope puts x and y upside-down and flips the sign.
here : -2/1 = -2
so, the equation looks like
y = -2x + b
b is the y-intercept, and we get this by putting the x and y coordinates of the given point into this equation and solve for b :
-1 = -2×-2 + b
-1 = 4 + b
b = -5
the full equation is therefore
y = -2x - 5
