Answer:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides. Wikipedia
a² + b² = c²
a = side of right triangle
b = side of right triangle
c = hypotenuse
Answer:
Step-by-step explanation:
recall that the inside angles of a triangle add up to 180°
and also that the angle 115° is the other part of a 180° total
180=115+y
180-115 =65
then the inside angle at Y is 65°
add the three inside (interior of the triangle) angles up
180= 65 + (4k+5) + (6k+10)
180 = 65 + 10k + 15
180 = 80 + 10k
100 = 10k
10 = k
see how I did that?
B. Stretching
C. Shrinking
D. Reflecting
E. Translating
The answer choices which represent congruencetransformations are; Choice A; Rotating, Choice D; Reflecting and Choice E; Translating.
According to the task content; it follows that the answer choices which represent congruence transformations be identified.
Congruence transformations are simply characterized by the fact the size of the object undergoing transformation remains unchanged after transformation. Hence, such congruence transformations are as identified above.
Read more on congruence transformations;
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Answer:
Step-by-step explanation:
12/15 or simplified: 4/5
The number 10 is a hundred times greater than the number 0.1.
The fundamental concept of making the same number of additions repeatedly is expressed by the action of multiplication. The results of multiplying two or more integers are known as the outcomes, and the factors that are used in the multiplication are referred to as the factors. The process of the complementing system of the same number is made simpler by multiplication.
From the given data in the question,
0.1 is times 10
0.1 × x = 10
x = 100.
To know more about multiplication:
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Answer:
AB║CD and AD║BC
Step-by-step explanation:
By the property of a parallelogram,
" Consecutive angles of a parallelogram are supplementary"
In the figure attached,
∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.
[Given: m(∠DCB) + m(∠CDA) = 180°]
And the pair of opposite sides of the parallelogram ABCD will be parallel.
AD║BC and AB║CD