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nikklg
2 months ago
7

Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of t

he run 20 feet. She writes and solves the equation 2l + 2w = 62 to find the width of the run.
Which statements are true of the solution? Check all that apply.

A. The value of w is 10 feet.
B. The value of w can be zero.
C. The value of w cannot be a negative number.
D. Substitution is used to replace the variable l with a value of 20.
E. The subtraction property of equality is used to isolate the term with the variable w.
Mathematics
2 answers:
lawyer [12.5K]2 months ago
6 0

Answer:

The conclusion is: w cannot be a negative value.

The variable l is replaced with the value of 20 through substitution.

The term with the variable w is isolated using the subtraction property of equality.

Step-by-step explanation:

Svet_ta [12.7K]2 months ago
4 0

Answers:

C - The value of w cannot be negative.

D - The variable l is substituted with the value 20.

E - To isolate the variable w, the subtraction property of equality is applied.

~ .

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2 Tables. A 2-column table with 4 rows is titled Table 1. Column 1 has entries 2, 4, 6, 8. Column 2 has entries 3, 6, 9, 12. A 2
tester [12383]

Response:

2:3 is

✔ lesser than

5:6

10:12 is

✔ greater than

6:9

The ratios shown in Table 1 are

✔ smaller than

those in Table 2

Step-by-step explanation:

6 0
10 days ago
George is 1.94 meters tall and wants to find the height of a tree in his yard. He started at the base of the tree and walked 10.
Leona [12618]
Create a visual representation to depict the situation outlined below.

Let h signify the height of the tree.

Since ΔABC is similar to ΔADE, it follows that
DE/BC = AD/AB

This means that
h/1.94 = (5.1 + 10.2)/5.1 = 3
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Final result: 5.82 m

7 0
1 month ago
Toby goes on holiday to Geneva, Switzerland. In Geneva, Toby sees a watch costing 193.75 CHF (Swiss Francs). In Manchester, an i
lawyer [12517]
The watch is less expensive in Geneva, Switzerland by £20. Step-by-step explanation: To identify the city where the watch is cheaper, we need to convert the watch's price to the same currency. Since pounds are utilized in part b of the question, using this currency would simplify the calculations. In Geneva, the watch's price is 193.75 CHF from our conversion: £1 = 1.55 CHF, thus, £x = 193.75 CHF. By cross-multiplying, we solve for x: (193.75 * 1) / 1.55 = 193.75/1.55 = £125. This demonstrates that the watch is cheaper in Geneva and more expensive in Manchester. To find out by how much, we simply deduct the Geneva price from the Manchester price: 145 - 125 = £20 cheaper.
3 0
13 days ago
In the figure, CD = EF and AB = CE. Complete the statements to prove that AB = DF.
Svet_ta [12734]

Answer:

1. Addition Property of Equality

2. Segment addition

3. Substitution Property of Equality.

4. Transitive Property of Equality.

Step-by-step explanation:

Given: CD = EF and AB = CE

To Show: AB = DF

Following the steps outlined:

1. CD + DE = EF + DE by the (addition) Property of Equality.

This shows that the same value has been added to both sides of the equation.

2. CE = CD + DE and DF = EF + DE through (segment addition).

This indicates that CE and DF are segments, and the length of any segment equals the total of its parts.

3. CE = DF according to the (Addition, subtraction, substitution, transitive) Property of Equality. Recognizing that CE = CD + DE and using the fact that CD = EF allows us to replace CD with EF.

So, CE = EF + ED = FD (via substitution) Property of Equality.

4. Since AB = CE and CE = DF, we can conclude AB = DF by the (transitive) Property of Equality.

This follows the rule that if x = y and y = z, then x = z.

3 0
1 month ago
Read 2 more answers
On my 30th birthday, I plan to light 30 candles on my cake and blow 30% of them. How many candles will stay lit after I'm done?
Svet_ta [12734]

30 candles equal 100%

30% of 100% equals 9 candles from a total of 100 candles

After extinguishing 30% of the candles, 9 will remain lit.


8 0
16 days ago
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