Two triangles are said to be <u>congruent</u> if they have <em>similar</em> properties. Thus the required <u>options</u> to complete the <em>paragraph proof</em> are:
a. angle 1 is <u>congruent</u> to angle 2.
b. <em>alternate</em> angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
c. 
= 
The <em>similarity property</em> of two or more shapes implies that the <u>shapes</u> are congruent. Thus they have the <em>same</em> properties.
From the given <u>diagram</u> in the question, it can be deduced that
ΔABC ≅ ΔABE (<em>substitution</em> property of equality)
Given that EA is <u>parallel</u> to BD, then:
i. <2 ≅ <3 (<em>corresponding</em> angle property)
ii. <1 ≅ < 4 (<em>alternate</em> angle property)
Thus, the required options to complete the <em>paragraph proof</em> are:
- Angle 1 is <em>congruent</em> to angle 2.
- Alternate angles are <u>congruent</u> if two parallel lines are cut by a <em>transversal</em>.
- =
For more clarifications on the properties of congruent triangles, visit: brainly.com/question/1619927
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Answer:
x = 53
Step-by-step explanation:
Remember that the sum of all 3 interior angles in a triangle is 180∘ so
74 + x + x = 180
74 + 2x = 180
2x = 180 - 74
2x = 106
x = 106/2
x = 53
Answer:
Gianna makes $18 per hour.
Step-by-step explanation:
Given Gianna makes 90$ for 5 hours. That means she should make 
$ = 18$ every hour.
Therefore we have:
a.
HOURS DOLLARS
1 18
2 36
3 54
4 72
5 90
6 108
7 126
b.
For the tabular column mark Hours on the x - axis and Dollars on the Y - axis. It can be plotted from the above table easily.
c.
If Gianna works for 8 hours she would have made 8 X 18 = 144$.
So, she will earn 144$ in 8 hours.
d.
To make 60$ she would have to work 
hours = 3.33 hours.
Based on the graph, the total perimeter of the doghouse Jeremy plans to build s 28 feet (twenty-eight feet).
<h3>What is the perimeter?</h3>
This is the total distance of all the sides in a shape. Due to this, the general formula is:
- Perimeter = side + side + side.
<h3>What is the perimeter of the doghouse?</h3>
- Horizontal side: 8 feet
- Vertical sides: 10 feet
- Diagonal sides: 10 feet
8+10+10= 28 feet.
Note: This question is incomplete because the graph is missing; here is the graph:
Learn more about perimeter in: brainly.com/question/6465134
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Answer:
87,500 kg-m/s
Step-by-step explanation:
Momentum = Mass * velocity
3500*25 = 87,500
