Trapezoid ABCD was the original figure for trapezoid A'B'C'D. They are similar because they are the same shape, Trapezoid A'B'C'D is slightly bigger or smaller because it was dilated from trapezoid ABCD.
Yes. 450 ÷ 9 = 50, 450 ÷ 5 = 90, 450 ÷ 10 = 45
Based on the equation given, it can be deduced that the value of the number will be 36.
Let the number be represented by x
Therefore, seven less than one-fourth of a number will be:
=(1/4 × x) - 7
= 0.25x - 7
Now, seven less than one-fourth of a number is 2 will be written as:
0.25x - 7 = 2
0.25x = 2 + 7
0.25x = 9
x = 9/0.25
x = 36
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Answer:
Given: It is given that and .
To Prove: ABCD is a parallelogram.
Statements
1. and
Reason: Given
2. are alternate interior angles
Reason: Def of alternate interior angles
3.
Reason: Alternate interior angles are congruent
4.
Reason: Reflexive property
5.
Reason: SAS congruency theorem
6.
Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)
7. ABCD is a parallelogram
Reason: Parallelogram Side Theorem
Step-by-step explanation:
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Answer:
a) 0.064
b) 0.109
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 181 centimeter
Standard Deviation, σ = 7.3 centimeter
We are given that the distribution of height for Northern European adult males is a bell shaped distribution that is a normal distribution.
Formula:
a) P(person is between 160 and 170 centimeters)
b) P(person is higher than 190 centimeter)
P(x > 190)
Calculation the value from standard normal z table, we have,
