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sergeinik [125]
1 year ago
8

Given: ΔABC with Prove: Statement Reason 1. given 2. Addition Property of Equality 3. using common denominators 4. AB = AD + DB

CB = CE + EB segment addition 5. Substitution Property of Equality 6. ∠ABC ≅ ∠DBE Reflexive Property of Congruence 7. ΔABC ~ ΔDBE SAS similarity criterion 8. Corresponding angles of similar triangles are congruent. 9. If the corresponding angles formed by two lines cut by a transversal are congruent, then the lines are parallel. Question 19 of 44 What is the missing step in this proof? ∠BAC ≅ ∠ACB ∠BDE ≅ ∠DEB ∠ADE ≅ ∠DEC ∠BAC ≅ ∠BDE ∠ABC ≅ ∠DBE NextReset
Mathematics
2 answers:
Aliun [14]1 year ago
8 0

Answer:

AD/DB+1=CE/EB+1

Addition Property of Equality

Step-by-step explanation:

11111nata11111 [884]1 year ago
5 0

Answer:

AD/DB+1=CE/EB+1

Addition Property of Equality

Step-by-step explanation:

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2 years ago
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In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equatio
Nitella [24]

In the game of cornhole, when Sasha tossed a bean bag to the edge of the hole, in which the equations of the hole and bean bag's path are x² + y² = 5 and y = 0.5x² + 1.5x - 4, respectively, she could have tossed her bean bag to the points (1, -2) or (2, 1).              

 

To find the points in which she could have tossed her bean bag, we need to intersect the two equations of the function as follows.

<u>The equation for the hole</u>

x^{2} + y^{2} = 5   (1)

<u>The equation for the path of the bean bag</u>

y = 0.5x^{2} + 1.5x - 4    (2)

By entering equation (2) into (1) we have:  

x^{2} + (0.5x^{2} + 1.5x - 4)^{2} = 5

x^{2} + 0.25x^{4} + 1.5x^{3} - 4x^{2} + 2.25x^{2} - 12x + 16 = 5    

0.25x^{4} + 1.5x^{3} - 0.75x^{2} - 12x + 11 = 0

By solving for <em>x</em>, we have:

x₁ = 1

x₂ = 2

Now, for <em>y</em> we have (eq 2):

  • <u>x₁ = 1</u>    

y_{1} = 0.5(1)^{2} + 1.5(1) - 4 = -2

  • <u>x₂ = 2</u>

y_{2} = 0.5(2)^{2} + 1.5(2) - 4 = 1                                              

Therefore, the points are (1, -2) or (2, 1).

To find more about intersections, go here: brainly.com/question/4977725?referrer=searchResults        

I hope it helps you!

8 0
1 year ago
A machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1. A can containing 500 of these mixed n
luda_lava [24]

Answer:

the machine is mixing the nuts are not  in the ratio 5:2:2:1.

Step-by-step explanation:

Given that a machine is supposed to mix peanuts, hazelnuts, cashews, and pecans in the ratio 5:2:2:1.

A can containing 500 of these mixed nuts was found to have 269 peanuts, 112 hazelnuts, 74 cashews, and 45 pecans.

Create hypotheses as

H0: Mixture is as per the ratio 5:2:2:1

Ha: Mixture is not as per the ratio

(Two tailed chi square test)

Expected values as per ratio are calculated as 5/10 of 500 and so on

Exp        250      100    100       50        500

Obs       269      112       74       45         500

O-E          19        -12      -26       -5           0

Chi          1.343   1.286  9.135   0.556   12.318

square

df = 3

p value = 0.00637

Since p value < alpha, we reject H0

i.e. ratio is not as per the given

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2 years ago
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Answer:

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