In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?. . 60. . 41. . 28. . 30
Answers
I added a screenshot with the diagram
Answer:
x = 28
Explanation:
When two triangles are congruent, corresponding sides as well as corresponding angles are equal
We are given that:
ΔGEF and ΔHEF are congruent
This means that:
angle G = angle H
angle GEF = angle HEF
angle EFG = angle EFH
GE = HE
GF = HF
EF = EF
We are given that:
angle GFE =60° and angle HFE = 2(x+2)
Since the two angles are equal, we can get x as follows:
2(x+2) = 60
x + 2 = 30
x = 30 - 2
x = 28
Hope this helps :)
2 ( x + 2 ) = 60 / : ( -2 ) we will divide both sides of the equation by -2.
x + 2 = 30
x = 30 - 2
x = 28
Answer : C ) 28°
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The explicit formula for the given Geometric sequence is
The given sequence is a Geometric sequence with the first term,
a = 0.5 and the common ratio, r = -0.2.
We are supposed to find the explicit formula for this sequence.
The general formula for a Geometric sequence is given by
where a is the first term, r is the common ratio, and n is the nth term of the sequence.
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Therefore, the explicit formula for the given Geometric sequence is:
.
The explicit formula for the given Geometric sequence is
.
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The product of the exponential expressions are .
Given data:
The first expression is represented as p.
The second expression is represented as q.
The value of
The value of
So, the product is A = p * q
Substituting the values in the expression:
From the laws of exponents:
So,
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Answers
reciprocal of x=1/x then
sum of reciprocals means 1/x+1/y=2/5
subsitute x=5y for x in 1/x+1/y=2/5 and get
1/5y+1/y=2/5
multiply 1/y by 5/5 to make it 5/5y so you can add since the denomenators (bottom number) are the same
1/5y+5/5y=2/5
6/5y=2/5
multiply both sides by 5y
6=2y
divide both sides by 2
3=y
put this into x=5y so
x=5(3)
x=15
y=3