Given: ASTU with ST || XYProve: * -
Statements
1. ASTU with ST || XY
Reasons
1. given
2. def. of corresponding
angles
2. 21 and 22 are
corresponding angles
3. 23 and 24 are
corresponding angles
4. 21 - 22; 23 24
3. def. of corresponding
angles
4. corresponding angles
theorem
5.
5. AA similarity theorem
Complete the steps of the proof.
6. def. of similar triangles
6. U = Tu
7. SU = SX + XU:
TU = TY + YU
8. SXEUXU – TYHYU
7. segment addition
postulate
8. substitution property
X
XII
TY
VII

Answers

Answer 1
Answer:

The correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.

What are similar triangles?

Two triangles are said to be similar if their corresponding sides are equal and if the ratio of the sides are in equal ratios.

The proof is as follows :-

The given steps are;

1. Δ STU with ST || XY,                                1. Given

2. ∠1 and ∠2 are corresponding angles,   2. Def of corresponding angles

3. ∠3 and ∠4 are corresponding angles,  3. Def of corresponding angles

4. ∠1 ≅ ∠2; ∠3 ≅ ∠4,                              4. Corresponding angles theorem

5. Δ UXY ~ Δ UST                                       5. AA similarity theorem

6. SU/XU = TU/YU                                      6. Def of similar triangles  

7. SU = SX + XU, TU = TY +  YU,           7. Segment addition postulate

8. (SX + XU)/(XU) = (TY + YU)/(YU)        8. Substitution property    

9. SX/XU + 1 = TY/YU+1                          9. simplification

10. SX/XU = TY/YU                                 10. subtraction property of equality.

Hence, the correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.

Learn more about similar triangles, click;

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Answer 2
Answer:

Answer: Here is the answer

Step-by-step explanation:


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Record 3 2/25 as a decimal. Please help!!!!!

Answers

The answer is 3.08


3+2/25
= 3.08
= 308%

Answer:

1.28 is the decimal form

Step-by-step explanation:

and 128/100 or 128% is the percentage for 32/25.

// have a great day //

Four ounces of oregano and 2 ounces of garlic powder are mixed to create a poultry seasoning. Oregano costs $4 per ounce, and garlic powder costs $3 per ounce. The table shows the costs of the ingredients

Answers

For this case, the first thing we must do is define variables:

x: ounces of oregano

y: ounces of garlic powder

We write the function to find the total cost of the mixture.

We have then:

We substitute the following values to find the total cost:

Four ounces of oregano:

and 2 ounces of garlic powder:

Substituting we have:

Answer:

The total cost of the mixture is given by:

c (4, 2) = 22 $

There isn't an obvious question to this problem but with the given we can assume what is to be asked. I think we are to find the total cost of a certain poultry seasoning. The poultry seasoning would have a total weight of 4+2=6 ounces. The total cost will then have to be 4(4) + 2(3) = 22 dollars. 

Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees? A) 3 B) 5 C) 6 D) 9

Answers

Answer:

C. 6

Step-by-step explanation:


Answer: C) 6

Step-by-step explanation: usatestprep approved

A fish tank contains 18 goldfish and 22 guppies. If you randomly select 2 fish, what is the probability that they are both goldfish?

Answers

18 goldfish+22 guppies=40 total
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Answers

Answer:

12/40 non simplified and 3/10 simplified.

Step-by-step explanation:

Somebody help (no links please) this is stressing me rn cause this assignment is almost due.

Answers

Step-by-step explanation:

11)

d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2

=√1+49=√50=7.07 approximately

12)

M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)