Part A: A pair of similar triangles is triangle DEF and triangle GFD.
Part B: Traingle DEF ~ triangle GFD by the AA Similarity Theorem
Part C: By applying the Leg Rule, the length of segment ED = 4 units.
<em><u>Recall:</u></em>
- Based on the Angle-Angle Similarity Theorem (AA) two triangles that have two pairs of congruent triangles can be proven to be similar to each other.
- In a right triangle where the altitude intersects the hypotenuse, the Leg Rule applies, which is: Hypotenuse/Leg = Leg/Part
The Figure of the given triangle DEF is shown in the attachment below.
<em><u>Part A: A Pair of Similar Triangles</u></em>
A pair of similar triangles are traingle DEF and triangle GDF
<em><u>Part B: Reason for Similarity</u></em>
Triangle DEF and GDF have two pairs of congruent angles, ∠EDF ≅∠DGF and ∠EFD ≅∠GFD.
- Therefore, based on the AA Similarity Theorem, Traingle DEF ~ Triangle GDF.
<em><u>Part C: Length of Segment ED</u></em>
Given the following,
- EF = 8 (Hypotenuse)
- EG = 2 (Part)
- ED = ? (Leg)
Thus:
8/ED = ED/2 (Leg Rule)
ED² = (8)(2)
ED² = 16
- Find the square root of both sides
ED = 4
Learn more about AA Similarity Theorem on:
brainly.com/question/24147586
Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that triangle ABC is an isosceles triangle.
From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).
Distance formula:

Using this formula, we get



Now,
Perimeter of triangle ABC = AB + BC + AC


So, perimeter of triangle ABC is
units.
Therefore, the correct option is B.
Answer:
$990 per unit.
Step-by-step explanation:
The Unit Cost (C) and Unit Revenue R from the production and sale of x units are related by the function:

We are required to find the rate of change of revenue per unit when the cost per unit is changing by $9 and the revenue is $1,000.
Rate of Change of C,

The Revenue is changing at a rate of $990 per unit.
Answer:
1/5=t
Step-by-step explanation:
1. the answer is "0.62%".
We can calculate this as;
Rate = <span> 7.5% per year
there are 12 months in a year so,
= 7.5/ 100 x 1/12
=0.075 x 1/12
= 0.00625
for percentage multiply it with 100,
= 0.00625 x 100
=0.625% = 0.62%
2.</span>the answer is "1.53%".
We can calculate this as;
Rate = 18.3% per year
there are 12 months in a year so,
= 18.3/ 100 x 1/12
=0.183 x 1/12
= 0.01525
for percentage multiply it with 100,
= 0.01525 x 100
=1.525% = 1.53%