Answer:
The answer is below
Step-by-step explanation:
Two polygons are said to be congruent if they have the same size and shape that is their corresponding angles and sides are equal.
Hence since Quadrilaterals ABCD is congruent to EFGH, then their corresponding angles and sides are equal.
In quadrilateral ABCD:
∠A + ∠B + ∠C + ∠D = 360° (sum of angles in a quadrilateral)
Substituting:
47 + 39 + 112 + ∠D = 360
∠D + 198 = 360
∠D = 360 - 198
∠D = 162°
The image of Quadrilaterals ABCD and EFGH is not given but let us assume that they have the same orientation, hence:
∠A = ∠E = 47°
∠B = ∠F = 39°
∠C = ∠G = 112°
∠D = ∠H = 162°
Answer:
18,72
Step-by-step explanation:
Complementary angles add to 90 degrees
Multiply the ratio by x
1x+4x = 90
Combine like terms
5x = 90
divide by 5
5x/5 = 90/5
x =18
The first angle is 18 degrees
4*18 =72
The second angle is 72 degrees
O 5(-8) = -40 this is the correct one and the question ask except
Answer:
The us based motorcycle manufacturer says that it expects to build 140,000 motorcycles this year up from 126,000 last year.
This means the increased production is
144,000 - 126,000 = 18,000
The percentage change in production can
be found using the formula as listed below
PERCENTAGE INCREASE = change / initial × 100
Substitute the values we get
18,000/126,000 × 100
14.28 = percentage increase
