Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem. The sink hole is 52.2 ft and the Perimeter of ABC is 172.2 ft
<h3>What are
congruent triangles?</h3>
Two triangles are said to be congruent if they have the same shape and their corresponding sides are congruent.
In the image shown:
AC = CE, BC = ED and they have the same angle (opposite angles are congruent).
Hence:
Triangle ABC is congruent to triangle CDE using the side - angle - side congruence theorem.
AB = DE = 52.2 ft
Perimeter of ABC = AB + BC + AC = 50 + 70 + 52.2 = 172.2 ft
Find out more on congruent triangles at: brainly.com/question/2938476
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Answer:
A(0,7)
Step-by-step explanation:
The y-intercept is (0,7). The y-intercept is the point in which the line or the function crosses the y-axis.
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Area is:</u>
- A = wl
- A = 3√2*4√2 = 12*2 = 24 in²
Answer:
<h2>x=12</h2>
Step-by-step explanation:
<h2>Hope this helps</h2><h2>I would explain but I have some work so sorry</h2>
Answer:
Q1
- cos 59° = x/16
- x = 16 cos 59°
- x = 8.24
Q2
BC is given 23 mi
<u>Maybe AB is needed</u>
- AB = √34² + 23² = 41 (rounded)
Q3
- BC² = AB² - AC²
- BC = √(37² - 12²) = 35
Q4
Let the angle is x
- cos x = 19/20
- x = arccos (19/20)
- x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
- BC² = BD² + DC² = (AB + AD)² + DC²
<u>Find the length of added red segments</u>
- AD = AC cos 65° = 14 cos 65° = 5.9
- DC = AC sin 65° = 14 sin 65° = 12.7
<u>Now we can find the value of BC</u>
- BC² = (19 + 5.9)² + 12.7²
- BC = √781.3
- BC = 28.0 yd
<em>All calculations are rounded</em>
