All categories

2 years ago

Which triangles are similar?

Mathematics

2 answers:

erastovalidia [21]2 years ago

8 0

Answer:

the answer is B

Step-by-step explanation:

They are similar because initially they are the same triangle.

Veseljchak [2.6K]2 years ago

6 0

Answer:

Step-by-step explanation:

You might be interested in

a culture started with 6,000 bateria after 6 hours,it grew to 7,200 .predict how many bacteria will be present after 17 hours ro

Genrish500 [490]

Answer:

10058

Step-by-step explanation:

The equation is of the form

y = ab^x

Where a is the initial value, y is the final amount and x is the time

y = 6000 b^x

7200 = 6000 b^6

Divide each side by 6000

7200/6000 = b^6

1.2 = b^6

Take the 6th root on each side

1.2 ^ 1/6 = b^6 ^ 1/6

1.030853321 = b

y = 6000 (1.030853321) ^ x

Let x = 17

y = 6000 (1.030853321) ^ 17

y=10057.68696

Rounding to the nearest whole number

y = 10058

7 0

2 years ago

Read 2 more answers

Given the triangle below, which of the following is a correct statement? Right triangle ABC with AB measuring 5, AC measuring 6,

Elanso [62]

Drawing a diagram to match this figure, BC would have to be the hypotenuse as it is the longest side of the triangle. Angle A would have to be the right angle.
For the first choice, $\cot B = \frac{1}{ \tan B} 
\\ = \frac {1}{\frac {6}{5}}
\\ = 1 \div \frac{6}{5} = \frac{1}{1} \div \frac{6}{5}
\\ = \frac{1}{1} * \frac{5}{6} = \frac{5}{6}$ . The first choice is not correct.
The second choice gives us $\csc C= \frac{1}{ \sin C}= \frac{1}{\frac {5}{8}}
\\ = 1 \div \frac{5}{8} = \frac{1}{1} \div \frac{5}{8}
\\ = \frac{1}{1} * \frac{8}{5} = \frac{8}{5}$ . The second choice is not correct either.
The third choice gives us

6 0

2 years ago

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

2 years ago

The measure of angle B is 839, and the measure of angle C is 420.

Usimov [2.4K]

Answer: C. 55 degrees

8 0

2 years ago

Find two positive numbers whose product is 36 and whose sum is a minimum.

alukav5142 [94]

Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,

8 0

2 years ago