Answer:
Choice B.
Step-by-step explanation:
In a parallelogram, there are two pairs of parallel, opposite sides.
In a parallelogram, there are two pairs of congruent, opposite sides.
In a parallelogram, there are two pairs of congruent, opposite angles.
The pairs of opposite congruent angles of this parallelogram are:
<ABC and <ADC
<BCD and <BAD
This problem asks about an angle, but the angle is <BDC.
Notice that <BDC is not one of the 4 angles of the parallelogram mentioned above. <BDC is formed by drawing a diagonal. The statement above about pairs of congruent, opposite angles does not apply to <BDC.
Side DC is parallel to side AB.
Diagonal BD is a transversal to lines DC and AB.
<BDC and <ABD are alternate interior angles of the two parallel sides and the transversal.
Answer:
Choice B.
<BDC is congruent to <ABD; Alternate interior angles are congruent.
X + y = 17
x - y = 29
x = 17 - y
x - y = 29
x = 17 - y
17 - y - y = 29
x = 17 - y
17 - 2y = 29
x = 17 - y
- 2y = 29 - 17
x = 17 - y
-2y = 12
x = 17 - y
y = -6
x = 17 - (-6)
y = -6
x = 17 + 6
y = -6
x = 23
y = -6
<span>The side opposite the 30 degree angle is half of the hypotenuse.
a^2 + b^2 = c^2 =>
a^2 + (c/2)^2 = c^2
12^2 + c^2/4 = c^2
4*12^2 + c^2 - 4c^2 = 0
576 - 3c^2 = 0
- 3c^2 = - 576
c^2 = 192
c = 8√3
</span>
Answer:
x=45 is the ans
Step-by-step explanation:
x/5-8=1
x/5-8×5=1
x/5-40=1
x-40=5
x=45 hope it may help u