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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Check the picture below, notice, after 0 goes up then down back up at 4, and then it begins repeating after that, it begins to "periodically" be the same curve, that's the period.
Answer:
1/2
Step-by-step explanation:
4/8 are red. If you simplify that you get 1/2.
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
s = 25
Step-by-step explanation:
First we go from point (30, 50) to point (-10, 30).
Change in x: -10 - 30 = -40
Change in y: 30 - 50 = -20
Since a change in x of -40 results in a change in y of -20, we divide both changes by 4 to get:
a change of -10 in x results in a change of -5 in y.
Now we go from point (-10, 30) to point (-20, s).
The change in x is -20 - (-10) = -10
The corresponding chang ein y must be -5.
y = 30 - 5 = 25
Answer: s = 25
