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lilavasa [31]
3 years ago
15

Answer C,D,E,FSnsjma

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0

Answer:

f) 97° = m∠6

e) 83° = m∠5

d) 83° = m∠4

c) 97° = m∠3

b) 97° = m∠2

a) 83° = m∠1

Step-by-step explanation:

  • m∠5 ≅ m∠4; Angle Correspondence Theorem
  • m∠5 ≅ m∠1; Alternate Interior Angles Theorem
  • m∠6 ≅ m∠2; Alternate Exterior Angles Theorem
  • 180° = m∠2 + m∠1; Definition of Linear Pair [Supplementary Angles]
  • 180° = m∠5 + m∠3; Definition of Linear Pair [Supplementary Angles]

I am joyous to assist you anytime.

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Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. He then created both a histo
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Answer:

(a) The correct option is (A).

(b) The correct option is (B).

Step-by-step explanation:

Nam collected the data for the distance traveled by all the cars in his car lot.

(a)

A histogram is a bar graph representing the distribution of a random variable. The height of the bars of the histogram represents the frequency for a specific interval.

If Nam wants to know how many vehicles had driven more than 200,000 km, the histogram would be the best display of this data. This is because the histogram shows the frequency for various interval values.

The correct option is (A).

(b)

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

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So, if Nam wants to find whether the median distance was approximately 140,000 km, a box plot would be a better choice. This is because the box plot represents the median of the data by a line within the box.

The correct option is (B).

4 0
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The dimensions of a rectangular garden were 5m by 12m. Each dimensions was increased by the same amount. the garden has an area
Alex_Xolod [135]
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so, it was 5 wide and 12 long, now it's 5+a wide and 12+a long

we know the area is 120, so whatever "a" is, we know that

(5+a)(12+a) = 120

so   \bf (5+a)(12+a) = 120\implies 60+17a+a^2=120
\\\\\\
a^2+\underline{17} a\underline{-60}=0\qquad \qquad 
\begin{cases}
20\cdot -3\implies \underline{-60}\\\\
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4 0
3 years ago
What are reasons A,B,and C in the proof?
Vlad [161]

Answer:

Option D is correct.

Explanation:

Commutative Property of Multiplication define that two numbers can be multiplied in any order.

i.e a\times b =b \times a

Distributive property of multiplication states that when a number is multiplied by the sum of two numbers i.e, the first number can be distributed to both of those numbers and multiplied by each of them separately.

a \times (b+c) = a\times b+ a\times c

Associative property of multiplication states that multiplication allows us to group factors in different ways to get the same product.

Given:

A = ( 4\times 3) + (2 \times 4 )= ( 4\times 3) + (4 \times 2 )

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( 4\times 3) + (2 \times 4 )

Using Commutative property of Multiplication we can write 2 \times 4 = 4 \times 2 then we have;

( 4\times 3) + (2 \times 4 ) = ( 4\times 3) + (4 \times 2 )

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( 4\times 3) + (4 \times 2 ) = 4 \times ( 3+2)

by using associative property of multiplication ,

4 \times (3+2) = 4 \times 5

Therefore, the reasons  for A , B and C in this proof are;

A.commutative property of multiplication

B. distributive property

C. associative property of multiplication



6 0
3 years ago
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