Answer:
A and D are equal
Step-by-step explanation:
Given
Required
The equal matrices
First, we simplify the given expressions
Open bracket
Next:
Open bracket
Next:
Divide by 3
Lastly:
Open bracket
By comparison:
Answer:
JM = 7
Step-by-step explanation:
Triangles LMN and LJK are similar, so corresponding sides have teh same ratio:
LM/MN = LJ/JK
14/(JM+3) = (14 +JM)/15
210 = (JM +3)(JM +14) . . . . . multiply by 15(JM +3)
JM² +17JM -168 = 0 . . . . . . . subtract 210; put in standard form
(JM +24)(JM -7) = 0 . . . . . . factor
The values for JM that make this true are 7 and -24. The length must be positive, so ...
JM = 7
Answer:
19.24 cm
Step-by-step explanation:
Square the outsides of the triangle. 8 squared is 64 and 5 squared is 25.
A^2+B^2=C^2
c^2 is always the diagonal line.
a^2=25
c^2=64
Subtract 25 from 64 to find b^2
64-25= 39
Add all three together to get your perimeter.
The square root of 64 is 8, the square root of 25 is 5 and the square root of 39 is 6.24. Add 8, 5 and 6.24 together and you get the perimeter.
5+8+6.24= 19.24
Peking itis an until mengikutu dusty konferensi Klein’s itis an.
Answer:
122.6 m
Step-by-step explanation:
Shadow cast by the man = 3.1 m
Height of the man = 1.9 m
Shadow cast by the lighthouse = 200 m
Height of the lighthouse = x
If two shapes are similar, the ratio of their corresponding sides would be equal.
Therefore,
x/1.9 = 200/3.1
Multiply both sides by 1.9
x = (200*1.9)/3.1
x = 122.6 m (nearest tenth)
The lighthouse is 122.6 m tall