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Sav [38]
3 years ago
11

What additional information would you need to prove by the HL theorem?

Mathematics
1 answer:
Butoxors [25]3 years ago
8 0

Answer:

<em>Answer:</em> <em>A</em>   \overline{TM}\cong \overline{OR}

Step-by-step explanation:

The HL Theorem states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Triangles TRO and OMT share the hypotenuse, so the first part of the theorem is met.

Both triangles are right because they have an internal angle of 90°, so the second condition is also met.

Since there is no indication of any leg to be congruent to another leg, we need additional information to prove that both triangles are congruent.

One of these two conditions should be met:

Side TM is congruent to side OR, or

Side MO is congruent to side RT.

From the available options, only the first is correct.

Answer: A \mathbf{\overline{TM}\cong \overline{OR}}

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They both involve writing a rate.

Step-by-step explanation:

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Two integers, a and b, have a product of 24. What is the least possible sum of a and b?
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The least possible sum is 10.

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6+4
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Mr. Gutierrez had $100 to purchase candy for his students that completed their work. He
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Answer:

$21.50

Step-by-step explanation:

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He bought 8 bags of jolly ranchers

Each bag of jolly ranchers cost $3.25.

Hence, the cost of 8 bags of jolly ranchers = 8 × $3.25

= $26

He also bought 25 bags of assorted chocolate and each bag of assorted chocolate cost $2.10.

Hence, the cost of 25 bags of assorted chocolates = 25 × $2.10

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Therefore, the amount of money Mr. Gutierrez has left over after these purchases is calculated as:

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= $100 - ( $26 + $52.5)

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7 0
3 years ago
Which expression is equivalent to cot t sec t?
Solnce55 [7]

Answer: csc(t)

Step-by-step explanation:

Alright, lets get started.

The given expression is given as :

cot( t) \times sec (t)

We know quotient identity as :

cot(t)=\frac{cos(t)}{sin(t)}

Similarly, we know reciprocal identity as :

sec(t)=\frac{1}{cos(t)}

lets plug the value of cot and sec in given expression

\frac{cos(t)}{sin(t)}  \times \frac{1}{cos(t)}

cos will be cancelled, remaining will be

\frac{1}{sin(t)}

Using reciprocal identity again, that will equal to :

csc(t)  ................... Answer (A)

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Stephen's lunch bill is currently at $8.33. Stephen orders a fruit salad for take-out, and wants to leave $2.25 as a tip for his
Salsk061 [2.6K]

Answer:

$1.53

Step-by-step explanation:

The computation of the change in the bill is shown below:

Total money he has to pay is

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And, he have  

= $10 + $5

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So, the change would be

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