Answer:
D
Step-by-step explanation:
Triangle BDC is a right triangle (If you dont understand I can explain in depth). Since it's a right triangle, we can use the pythagorean theorem to find the length of BD. The pythagorean theorem states that the length of the smaller legs squared = the longest side squared. So we can set up the equation 
+
=
where x is the length of the missing side (BD). If we were to solve for x, (I think you should know how to do this but if not I can explain), you get 12
Answer:
HCF of 15 and 18 = 3
3ft long is the greatest he can make
Answer:
A = 222 units^2
Step-by-step explanation:
To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:
(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.
The area of this trapezoid is
A = (average vertical length)(width), which here is:
(21 + 16) units
A = --------------------- * (12 units), which simplifies to:
2
A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2
Answer:
Hi. I am a math teacher. Your correct answer is 210. You're welcome!
First, we know that angle B is congruent to angle E.
2x + 40 = 5x + 10
2x + 30 = 5x
30 = 3x
x = 10
Angle B and Angle E = 60 degrees
Angle C = 14 degrees
Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.
60 + 14 + D = 180
74 + D = 180
D = 106
Angle D = 106 degrees
Hope this helps!
