Click on the measure of angle x.
2 answers:
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Answer:
Step-by-step explanation:
The larger number is 10 and smaller number is 6.
Step-by-step explanation:
Given,
The difference between two numbers = 4
Let,
x be the larger number.
y be the smaller number.
According to given statement;
x-y=4 Eqn 1
3y=2x-2 Eqn 2
Multiplying Eqn 1 by 3
Putting value of 3y from Eqn 2 in Eqn 3
Putting x = 10 in Eqn 2
Dividing both sides by 3
The larger number is 10 and smaller number is 6.
Keywords: linear equation, substitution method
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Answer:
m∠2 = 53°
Step-by-step explanation:
We will use two properties of a rhombus to solve this problem.
1). Opposite angles of a rhombus are equal.
2). Diagonals bisect the angles.
Since ∠JFG and ∠JHG are the opposite angles of the rhombus,
m∠JFG = m∠JHG
Since, diagonal FH bisect ∠JHG,
m∠FHJ = m∠GHF = m∠JFH = m∠GFH = 37°
In triangle JFH,
m∠FHJ + m∠JFH + m∠HJF = 180°
37° + 37° + m∠HJF = 180°
m∠HJF = 180 - 74
= 106°
Since, diagonal GJ bisects angle HJF,
m∠FJG = = 53°
Therefore, m∠2 = 53°.