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3 years ago

Is there enough information to prove that the triangles are congruent?

Mathematics

2 answers:

m_a_m_a [10]3 years ago

7 0

Answer:

Step-by-step explanation:

<u>Given</u>

Right triangles with congruent hypotenuse and one leg.

This is sufficient for HL (Hypotenuse, Leg) congruence theorem

Dmitriy789 [7]3 years ago

3 0

Step-by-step explanation:

The triangles are congruent due to Hypotenuse-Leg congruence. (HL congruence)

Each of the triangles have a right-angle, a congruent hypotenuse and a congruent side of the triangle.

Therefore Triangles ABC and PRQ are congruent.

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according to "Black Hole Beginnings," the destruction of some stars results in inbursts of light. an intense gravitational pull.

Colt1911 [192]

According to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.

To answer the question, we need to know what Black Holes are.

<h3>What are Black Holes?</h3>

Blackholes are regions of space in which no matter can escape

<h3>Characteristics of black holes</h3>

Black holes are formed from the remnants of large star that dies in a supernova
As long as the star is three times or more larger than the sun, it will collapse
The gravitational force on the star causes it to collapse into a black hole

So, when black holes are formed, some stars are destroyed and collapse due to intense gravitational forces.

So, according to "Black Hole Beginnings," the destruction of some stars results in an an intense gravitational pull.

Learn more about black holes here:

brainly.com/question/6037502

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5 0

2 years ago

I really need help with this please help best aswer gets brainliest

svet-max [94.6K]

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

$Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}$

The total frequency of the given data is 6+8+4+2+5+2

$Total\ Frequency = 27$

The class with lower limit 27 has a frequency of 2;

Hence;

$Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}$ becomes

$Relative\ Frequency = \frac{2}{27}$

$Relative\ Frequency = 0.07407407407$

$Relative\ Frequency = 0.0741$ (Approximated)

You may also leave your answer in percentage form

$Relative\ Frequency = 0.0741 * 100\%$

$Relative\ Frequency = 7.41 \%$

Hence, the relative frequency is 7.41% or 0.0741

7 0

4 years ago

Read 2 more answers

GIVING OUT BRAINLIEST!! All sacks of sugar have the same weight. All sacks of flour also have the same weight, but not necessari

Vsevolod [243]

Answer:

flour = 11.5, sugar has to be equal to 2.75 pounds.

Step-by-step explanation:

your 2 inequalities are:

2x + 3y <= 40

y <= 2x + 6

the second equation can be shown as:

-2x + y <= 6

solve the equality portion of these 2 inequalities.

those are the following equations:

2x + 3y = 40

-2x + y = 6

add these equations together and solve for y to get

y = 11.5

that appears to be a break even point.

when y = 11.5, the first inequality is solved as follows:

2x + 3y <= 40

replace y with 11.5 and the inequality becomes:

2x + 34.5 <= 40

solve for x to get

x <= 2.75

when y = 11.5, the second inequality is solved as follows:

-2x + y <= 6

replace y with 11.5 and the inequality becomes:

-2x + 11.5 <= 6

solve for x to get x >= 2.75

this indicates that, when y = 11.5, x has to be equal to 2.75.

both constraints are satisfied.

6 0

3 years ago

Read 2 more answers

In ΔABC, m∠ACB = 90°, CD ⊥ AB and m∠ACD = 45°. Find: AC, if CD = 6√2 in.

klio [65]

Answer:

AC = 12 units.

Step-by-step explanation:

Δ ACD is right-angled. ( as CD ⊥ AB).

cos 45° = CD / AC = 6√2 / AC

AC = 6√2 / cos 45°

AC = 6√2 / 1 /√2

= 6√2 *√2

= 6 * 2

= 12 (answer)

HOPE THIS HELPED ;3

5 0

4 years ago

Five times the sum of a number and 3 is the same as 3 multiplied by 1 less than twice the number

olga nikolaevna [1]

5(3+n)=3(2n-1)
15+5n=6n-3
18=n

7 0

3 years ago