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3 years ago

Which two triangles are congruent by the ASA Theorem? Complete the congruence statement

Mathematics

2 answers:

astraxan [27]3 years ago

7 0

It would sure help a lot if I could take a peek at the drawings of the triangles.

uysha [10]3 years ago

5 0

In ASA theorem in the triangles angle followed by side followed by angle should be equal then we say the 2 triangles are congruent by ASA theorem.

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Find the equation of the line through point (10,4) and parallel to 3x+5y=8. Use a slash ("/") for fractions (e.g. 1/2 for 12). D

MAXImum [283]

Answer:

3x + 5y = 50

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

3x + 5y = 8 ( subtract 3x from both sides )

5y = - 3x + 8 ( divide terms by 5 )

y = - $\frac{3}{5}$ x + $\frac{8}{5}$ ← in slope- intercept form

with slope m = - $\frac{3}{5}$

Parallel lines have equal slopes , then

y = - $\frac{3}{5}$ x + c ← is the partial equation

to fid c substitute (10, 4 ) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = - $\frac{3}{5}$ x + 10 ← equation of parallel line in slope- intercept form

multiply through by 5 to clear the fraction

5y = - 3x + 50 ( add 3x to both sides )

3x + 5y = 50 ← equation of parallel line in standard form

5 0

2 years ago

Read 2 more answers

Solve the equation.<br><br> m+34=m−6<br> Enter the correct answer in the box.

Yuliya22 [10]

Answer:

No solution

Step-by-step explanation:

You cannot have an equation with variables on both sides. It won't work

6 0

3 years ago

Which equation represents the line shown on the coordinate grid below ?

RoseWind [281]

Answer: B

Step-by-step explanation:

6 0

3 years ago

On her 21st birthday, Sydney deposited $400 in a new bank account that earns 3.7% interest compounded continuously. If there are

tankabanditka [31]

Answer:

$1,649.80

Step-by-step explanation:

7 0

3 years ago

What is the theoretical probability of rolling a number less than 5? Write the fraction, decimal and percent.

stealth61 [152]

Given:

Rolling a fair dice.

To find:

The theoretical probability of rolling a number less than 5.

Solution:

The possible numbers of rolling a dice are 1, 2, 3, 4, 5, 6.

Total outcomes = 6

Numbers less than 5 are 1, 2, 3, 4.

Favorable outcomes = 4

Now, the theoretical probability of rolling a number less than 5 is:

$\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}$

$\text{Probability}=\dfrac{4}{6}$

$\text{Probability}=\dfrac{2}{3}$

In decimal form, it can be written as:

$\text{Probability}\approx 0.67$

In percentage form, it can be written as:

$\text{Probability}=\dfrac{2}{3}\times 100$

$\text{Probability}\approx 66.67%$

Therefore, the theoretical probability of rolling a number less than 5 in the fraction, decimal and percent are $\dfrac{2}{3}, 0.67$ and $66.67\%$ respectively.

8 0

3 years ago