Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
Answer:
85 degrees
Step-by-step explanation:
its really easy just make them equal to eachother and then solve
9x + 13 = 11x-3
-11x (subtract because 11x is positive)
-2x +13 = -3
-13 (subtract because 13 is positive)
-2x = -16
divide both sides by -2
x= 8
substitute 8 for the x's and you have your answer
Answer:
Step-by-step explanation:
sin(2x) = 2 sin(x) cos(x) cos(2x) = cos2(x) – sin2(x) = 1 – 2 sin2(x) = 2 cos2(x) – 1. Now I am not sure if this is right but I remember another similar formula. Here is the correct formula cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
cos² x + sin² x = 1
Answer:
A dictionary has the mass of about 1 killo so the book!
Step-by-step explanation:
Answer:
5.414
Step-by-step explanation:
Formula to find circumference is 3.14 x 2r
So we can create a algebraic expression.
3.14 x 2r = 34 / 3.14 = 10.828 / 2 = 5.414
