A checking account is

Given ∆ABC with vertices A(−4, −3), B(0, 0), C(2, −3) and ∆DEF with vertices D(3, 1), E(6, -3), F(3, −5), use the definition of

dimaraw [331]

By SSS congruency criteria ΔABC ≅ ΔDEF

<h3>What is congruency?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

The given vertices of the triangles are;

ΔABC: A(−4, −3), B(0, 0), C(2, −3)

ΔDEF: D(3, 1), E(6, -3), F(3, −5)

The lengths of the sides of ΔABC are

AB = √((0+4)² + (0+3)²) = √25 = 5

BC = √((2-0)² + (-3 - 0)²) = √13

AC = √((2+4)² + (-3 +3)²) = √36 = 6

The lengths of the sides of ΔDEF are;

DE = √25=5

EF = √13

DF = √36 = 6

As,

AB= DE, BC = EF , AC= DF

So, By SSS congruency criteria ΔABC ≅ ΔDEF

Learn more about this concept here:

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6 0

2 years ago

Rachel types 162 words in 3 minutes. Rachel types at a constant rate.

Mazyrski [523]

Answer:

rise

Step-by-step explanation:

8 0

4 years ago

Solve this equation.

spin [16.1K]

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer: a = 41/6 or a= 6 5/6

7 0

3 years ago

Find the IQR (interquartile range). 19, 21, 18, 17, 18, 22,46

yanalaym [24]

Answer:

4.

Step-by-step explanation:

Step 1: Formula.

$IQR=Q3-Q1$

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Step 2: Explain/define.

The interquartile range is the difference between quartile 3 and quartile 1.
Quartile 1 is the median of the upper half of a data set.
Quartile 3 is the median of the lower half of a data set.
The median is the 'middle value.'

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Step 3: Order/arrange.

In order to find the median, you must first put the numbers in numerical order.

19, 21, 18, 17, 18, 22, 46

↓

17, 18, 18, 19, 21, 22, 46

The lower half of the data set, not including the median of the whole data set, is 17, 18, and 18.

The upper half of the data set is 21, 22, and 46.

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Step 4: Solve.

17, 18, 18

21, 22, 36

Next, we find the medians of both sets.

The median of the lower half is 18 (Q1).

The median of the upper half is 22 (Q3).

Lastly, we subtract Q3 from Q1.

$22-18=4.$

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Step 5: Conclude.

I, therefore, believe the interquartile range of this data set is 4.

3 0

3 years ago

Answer this question with the image provided

Goshia [24]

Answer:

the z score is 25

Step-by-step explanation:

since 75 needs 25 more for and 100%

4 0

3 years ago