The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles _____________ those sides are congruent.
Answers
Answer: The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite to those sides are congruent.
Step-by-step explanation:
Isosceles triangle theorem : If two sides of a triangle are congruent , then the angles opposite to these sides are congruent.
Consider an isosceles triangle ABC
Let D is the midpoint of triangle BC
Then, BD=CD
AD=AD[Reflexive Property ],
AB=AC [Definition of isosceles triangle]
Therefore, by SSS postulate ,
ΔADB≅ΔADC
Since corresponding parts of congruent triangles are congruent,
∴ ∠B≅∠C Hence Proved
Therefore, The isosceles triangle theorem states that if two sides of a triangle are congruent, then the angles opposite to those sides are congruent.
the answer is opposite
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The term "y varies directly with x" means that the formula is a direct variation. We need to look for the constant of variation.
y = kx ; where k is the constant of variation.
k = y/x
k = 5/2.5
k = 2
We then use the direct variation formula to get the value of y when x is a certain number.
y = kx
y = 2 * 10
y = 20
The value of when y varies directly with x using the direct variation is 20.
In direct variation, the relationship between x and y can be expressed as:
y = k x
Where k is the constant of variation.
The value of k can be calculated using the data provide in the question
if x = 2.5 then y = 5
5 = k 2.5
The value of k can be calculated by dividing both side by 2.5
k =
k = 2
The value of y can be calculated by substituting x is 10.
y = 2 10
y = 20
Therefore, the value of y is 20 when y varies directly with x.
Learn more about direct variation here:
#SPJ6
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Answer:
I am pretty sure it is x>8 which is B.
Step-by-step explanation:
Answers
Answer:
13.2
Step-by-step explanation:
√175 ≈ 13.2 . . . units
The area of a square is the square of the edge length. Hence, the edge length is the square root of the area.
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From the information given, 4 added to the unknown number is equal to 2 times the unknown number when it is subtracted from 19.
Let the number be x
x + 4 = 19 - 2 (x)
We now expand and simplify the equation by placing unknown on one side and the known on the other side
x + 4 = 19 - 2x
x + 2x = 19 - 4
3x = 15
x = 15 /3
x = 5
Answers
2x² – 7 = 9
2x² - 7-9 = 0
2x² - 16 = 0
This equation is a binomial
2* (x² - 8) = 0
We choose the simplest method . The equation with practice it can be calculated in the memory
The product is equal to 0 if one of the factors is zero
2≠0 ∨ x² - 8 = 0
x² = √8
x = √8 ∨ x= - √8
Answer : x = √8 ∨ x = -√8
By taking -7 to the RHS, you will have
dividing both sides by 2 gives;