The answer is C. (2x+5)(2x+5)
The statements and reasons for the proof are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
<h3>What is the CPCTC and ASA Congruence Theorem?</h3>
When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
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Answer:
H=22.5ft
Step-by-step explanation:
According to the graph, we must find y to determine the height at which the rope must be placed so that the lowest point of the rope is 17 ft high
.
applying the pythagorean theorem
then H=17ft+5.5ft=22.5ft
Answer:
36 F
Step-by-step explanation:
30 - 5 = 25 (6.00AM)
25 + 11 = 36 (NOON)
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
