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suter [353]
2 years ago
8

Identify the property that justifies the following statement: If <1≈ <2, then <2≈<1.

Mathematics
1 answer:
Colt1911 [192]2 years ago
7 0

Symmetric property of congruence.

Solution:

Given statement:

If ∠1 ≅ ∠2, then ∠2 ≅ ∠1.

<em>To identify the property used in the above statement:</em>

Let us first know some property of congruence:

Reflexive property:

The geometric figure is congruent to itself.

That is \overline{A B} \cong \overline{A B} \text { or } \angle B \cong \angle B.

Symmetric property of congruence:

If the geometric figure A is congruent to figure B, then figure B is also congruent to figure A.

That is \overline{A B} \cong \overline{C D}, \text { then } \overline{C D} \cong \overline{A B}.

Transitive property of congruence:

If figure A is congruent to figure B and figure B is congruent to figure C, then figure A is congruent to figure C.

That is \angle A\cong \angle B, \ \angle B\cong \angle C \  \text{then} \ \angle A\cong \angle C

From the above properties, it is clear that,

If ∠1 ≅ ∠2 then ∠2 ≅ ∠1 is symmetric property of congruence.

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Hayden earns $9.50 per hour as a lifeguard.He earns a bonus of $50.00 for taking a training course.How many hours must he work t
mel-nik [20]

Answer: he must work for at least 26.32 hours

Step-by-step explanation:

Let x represent the number of hours that Hayden works as a life guard.

Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be

9.5x

He earns a bonus of $50.00 for taking a training course. If he takes this bonus cost, the amount that he would earn for working for x hours is

9.5x + 50

Therefore, the number of hours that he must work to earn at least $300.00 would be

9.5x + 50 ≥ 300

9.5x ≥ 300 - 50

9.5x ≥ 250

x ≥ 250/9.5

x ≥ 26.32

4 0
3 years ago
Solve for I when 3/5 +I-1/15
Ugo [173]

Answer:

23 over 15 or 1.533

Step-by-step explanation:

Group like terms:

1+(3/5+-1/15)

Find LCD:

1+9/15+-1/15

Combine numerators:

15/15+8/15

And you get 23/15

Simplified:1 8/15

Decimal: 1.533

4 0
2 years ago
A box has a base of 12 inches by 12 inches and a height of 30 inches. What is the length of the interior diagonal of the box? Ro
Wittaler [7]

The sides of the box are 12in by 12in by 30in.

The interior diagonal =[12^2+12^2+30^2]0.5

=[144+144+900]^0.5

=1188^0.5

The final answer is 34.47in.

My deepest apology if this is not what you meant.

= 34.47in.

3 0
3 years ago
A pack of gum costs 75 cents. That is 3 cents less than three times what the pack cost 20 years ago. Which equation could be use
Tamiku [17]
75-3×3x=?
I believe that would be the equation. 
7 0
3 years ago
Read 2 more answers
Mr Martin rent a car for one day the charge is $36 plus $0.18 per mile Mr Martin has a budget of $60 how many miles can you driv
enot [183]

Answer:

133 full miles

Step-by-step explanation:

$36 + $0.18x = 60

Subtract 36 on both sides

$0.18x = 24

Divide 0.18 on both sides

x = 133.333333333

Answer: 133 full miles

6 0
3 years ago
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