An airplane descends 1.6 miles to an elevation of 6.95 miles. Find the elevation of the plane before its

Mathematics

1 answer:

kolezko [41]3 years ago

8 0

Answer:

Step-by-step explanation: First, let's call the starting elevation of the plane: e

We can then write an equation representing this problem as:

e−1.5mi=5.25mi

Now, add 1.5mi to each side of the equation to solve for e

while keeping the equation balanced:

e−1.5mi + 1.5mi=5.25mi + 1.5mi

e−0=6.75mi

e=6.75mi

The plane's starting elevation was 6.75 miles

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See the figure attached and the explantion below.

Explanation:

The figure attached shows the three squares that you have to fill to complete the table to summarize the different theorems to prove triangles are congruent.

1. SAS

SAS stands for Side Angle Side. That means that whenever two sides and the included angle on one triangle are congruent to two sides and the included angle of another triangle, then those two triangles are congruent.

Thick marks are used to mark the corrsponding parts, sides or angles that are congruent. That is why the two triangles to the first triangles on the image (on the upper square to the right) are marked:

One thick straight mark for two sides that are congruent
Two thick straight marks for the other two sides that are congruent
On thick curved mark for the two angles that are congruent

In that way, the figures show two triangles, with two congruent sides and the included angle congruent, to prove that the two triangles are congruent by the SAS theorem.

2. ASA

ASA stands for Angle Side Angle.

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