Answer:
HW → CT
∠ X → ∠ S
∠ D → ∠ L
DW → LT
Step-by-step explanation:
The quadrilateral DXHW is similar to quadrilateral LSCT.
So, side HW of the quadrilateral DXHW matches with the CT side of the quadrilateral LSCT.
And angle ∠ X of the quadrilateral DXHW matches with the angle ∠ S of the quadrilateral LSCT.
Again, angle ∠ D of the quadrilateral DXHW matches with the angle ∠ L of the quadrilateral LSCT.
Finally, side DW of the quadrilateral DXHW matches with the LT side of the quadrilateral LSCT. (Answer)
<h3>
Answers:</h3><h3>
x = 12</h3><h3>
Angle B = 45 degrees</h3>
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Explanation:
Angles A and B are alternate exterior angles.
Due to the parallel lines, alternate exterior angles are congruent
A = B
5x-15 = 2x+21
5x-2x = 21+15
3x = 36
x = 36/3
x = 12
Use this x value to find the measure of angle B
angle B = 2x+21
angle B = 2*12+21
angle B = 24+21
angle B = 45 degrees
As a check,
angle A = 5x-15
angle A = 5*12+15
angle A = 60-15
angle A = 45 degrees
Since A and B are both 45 degrees, this confirms the correct x value
Answer:
9.5 cm
Step-by-step explanation:
B ratio of angles ratio are 1:2:3
30-60-90 triangle (angles )
x-x√3 -2x triangle ( sides)
short side -long side- hypothenuse
2x = 19 so x= 19/2 = 9.5 cm
Answer: 40,000
Step-by-step explanation:
Their sum is (1+399) + (3+397) + (5+395) + … + (199+201) = 100 x 400= 40000
