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Answer:
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ASA and AAS
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Step-by-step explanation:
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We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
<span>To link the displayed Wright flyer in the museum with the
actual plane, we have to calculate for the relation of the corresponding
parameter. In this problem, for both the display and the actual plane, we are
given with the length. Computing for the ratio gives us,</span>
<span>
ratio = length of the model / length of the actual plane
Length of the model = 35 cm</span>
<span>
We need to calculate for the length of the model in ft.</span>
<span>
length of the model = (35 cm)(1 in/2.54 cm)(1 ft/12 in)
length of the model = 1.148 ft
</span>
<span>
</span>
<span>Going back to the calculation for the ratio,
ratio = (1.148 ft)/21 ft
ratio = 0.055
Therefore, the measurements used in the model is equal to 0.055 times the
actual dimensions.
Error may occur because of the number of significant figures measured for
rounding up or down of the answers after each calculation. </span>
It has not been indicated whether the figure in the questions is a triangle or a quadrilateral. Irrespective of the shape, this can be solved. The two possible shapes and angles have been indicated in the attached image.
Now, from the information given we can infer that there is a line BD that cuts angle ABC in two parts: angle ABD and angle DBC
⇒ Angle ABC = Angle ABD + Angle DBC
Also, we know that angle ABC is 1 degree less than 3 times the angle ABD, and that angle DBC is 47 degree
Let angle ABD be x
⇒ Angle ABC = 3x-1
Also, Angle ABC = Angle ABD + Angle DBC
Substituting the values in the above equations
⇒ 3x-1 = x+47
⇒ 2x = 48
⇒ x = 24
So angle ABD = 24 degree, and angle ABC = 3(24)-1 = 71-1 = 71 degree
First, let's subtract the whole pool by the water currently in to find the water needed to fill it:
4500 - 1500 = 3000
Because we need to represent an inequality:
30m = 3000
Divide both by 30:
m = 100
It will take 100 minutes
300 acres. because <span>multiply 60 by 5.</span>
