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photoshop1234 [79]
3 years ago
10

What is CD equal to ?

Mathematics
2 answers:
kumpel [21]3 years ago
8 0
Because of CPCTC (Congruent Parts of a Congruent Triangle are Congruent)

This means that because of CPCTC, line AD is congruent with CD

AD <span>≅ CD

AD = 13, </span>∴ CD = 13

13 is your answer


hope this helps
tigry1 [53]3 years ago
6 0
Judging by the model I would assume that ΔDBC is congruent to ΔDBA.

Thus, line CD should be congruent to line AD as well, which the solution should be line CD=13 units.
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28 Purls

Step-by-step explanation:

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2 companys are in a leage together.
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Answer:

I believe it would be 9 hours for company 1, and 10 for company 2

Step-by-step explanation:

30 x 9 = 270 (+ the first 20) =290

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The following set of points belong to a specific function: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} Based on the se
adelina 88 [10]

Answer:

(a)Degree 3

(b)f(x)=x^3+2x^2-7x+3 .

Step-by-step explanation:

The function represented by the set of points: {(-3,15)(-2,17), (-1,11), (0,3),(1,-1), (2,5),(3,27)} has 2 turning points when plotted on a graph.

(a)Now, we know that the maximum number of turning points of a polynomial function is always one less than the degree of the function.

Therefore, the polynomial has a degree of 3

(b)A cubic function is one in the form f(x)=ax^3+bx^2+cx+d . where d is the y-intercept.

From the set of values, the y-intercept, d=3

Therefore, our polynomial is of the form:

f(x)=ax^3+bx^2+cx+3 .

\text{At } (-3,15), 15=a(-3)^3+b(-3)^2+c(-3)+3 \implies -27a+9b-3c=12\\\text{At } (-2,17), 17=a(-2)^3+b(-2)^2+c(-2)+3 \implies -8a+4b-2c=14\\\text{At } (-1,11), 11=a(-1)^3+b(-1)^2+c(-1)+3 \implies -a+b-c=8

Solving the three resulting equations simultaneously use a calculator), we obtain:

a=1, b=2, c=-7

Therefore, an equation of this function is:

f(x)=x^3+2x^2-7x+3 .

7 0
3 years ago
10 yards&lt;360 inches true or false
masya89 [10]
12 in=1 feet
3 feet=1 yards
10 yards=30 feet
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The answer is false, they both equal to each other
7 0
4 years ago
Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to
Tanya [424]

Answer:

0.2 ; 100 ; 4.84

Step-by-step explanation:

Given that the probability of each of the 5 groups is the same :

Sum of probability = 1

Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2

Expected number for each interval for a sample of 500 : ; X = 500

E(X) = X * P(x) = 500 * 0.2 = 100

Goodness of fit (X²) :

X² = Σ(X - E)² ÷ E

Groups :

113, 95, 108, 99, and 85

X : 113 ____ 95 ____ 108 ____ 99 _____ 85

(113 - 100)^2 / 100 = 1.69

(95 - 100)^2 / 100 = 0.25

(108 - 100)^2 / 100 = 0.64

(99 - 100)^2 / 100 = 0.01

(85 - 100)^2 / 100 = 2.25

(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84

7 0
3 years ago
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