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Serga [27]
2 years ago
10

What additional information would prove each pair of triangles congruent by the HL Theorem?

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
3 0

Answer:

Please don't report me!

I don't know if this will help, but here is the definition of the HL theorem.

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.

Step-by-step explanation:

Additional link to help! ;)

https://tutors.com/math-tutors/geometry-help/hl-theorem

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A bench in the shape of a parallelogram has a base of 25 inches and a height of 40 inches. What is the area of the bench? *
Darina [25.2K]

Answer:

1,000 square inches

Step-by-step explanation:

The formula for the area of a parallelogram is B * H, so multiply 25 and 40 together

6 0
3 years ago
If f(x)=(x+1)(x-2)(x-3) represent a student's displacement from school, what changes would g(x)=-0.5(x-9)(x-12)(x-13)+6 entail?
shepuryov [24]

Answer:

<em>c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further.</em>

Step-by-step explanation:

<u>Function Modeling</u>

Let's take a look at both functions provided by the problem:

f(x)=(x+1)(x-2)(x-3)

g(x)=-0.5(x-9)(x-12)(x-13)+6

We are told that f(x) represents a student's displacement from school. We notice the following changes in g(x) with respect to f(x)

  • All the expressions in parentheses represent a displacement of -10 units in x. If x is time, then in g(x), the time is 10 minutes later than in f(x)
  • The factor that multiplies the three parentheses is 1 in f(x) and -0.5 in g(x). If that factor is the speed, then in g(x) the speed is half the speed in f(x) and in the opposite direction. The distance will be half of the distance of f because the student moves slower.
  • g(x) has an offset of +6, meaning the object is initially 6 miles further.

The option that collects all the conditions observed in both functions is:

c) Going half the distance, going in the opposite direction, starting 10 minutes later and starting 6 miles further

7 0
3 years ago
Anyone really good at math i have some questions.....PLEASE!!
Hunter-Best [27]

Answer:

I can help you!

Step-by-step explanation:

What do you need help with?

3 0
3 years ago
Kurt is buying a watch that had an original price of $195 but is advertised as 35% off. Sales tax of 8.75 % is applied to the di
Schach [20]

Answer:

$137.84

Step-by-step explanation:

We have been given that Kurt is buying a watch that had an original price of $195 but is advertised as 35% off. Sales tax of 8.75 % is applied to the discount price. We are asked to find the amount paid by Kurt for the watch.

First of all, we will find discounted price of watch by calculating 65% of original price as 100% minus 35% is 65%.

\text{Discounted price of watch}=\$195\times \frac{65}{100}

\text{Discounted price of watch}=\$195\times0.65

\text{Discounted price of watch}=\$126.75

Now we will add 8.75% of $126.75 to $126.75 to find price of watch after sales tax.

\text{Price of watch after sales tax}=\$126.75+\$126.75\times \frac{8.75}{100}

\text{Price of watch after sales tax}=\$126.75+\$126.75\times 0.0875

\text{Price of watch after sales tax}=\$126.75+\$11.090625

\text{Price of watch after sales tax}=\$137.840625

\text{Price of watch after sales tax}\approx \$137.84

Therefore, Kurt will pay $137.84 for the watch.

8 0
3 years ago
Choose the correct simplification of the expression a6b3/a4b2
Law Incorporation [45]

Answer:

a2b

Step-by-step explanation:

a6b3 / a4b2

When dividing exponents, you subtract them.

a6-4

b3-2

Leaving you with a2b


8 0
3 years ago
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