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3 years ago

In ABC m /_A = 65° and m/_B= 80° Select the triangle that is similar to ABC

Mathematics

2 answers:

Andreyy893 years ago

8 0

The correct answer is option C. Because the missing angle in ABC is 35 degrees

kari74 [83]3 years ago

8 0

Answer:

C is the correct answer.

Step-by-step explanation:

All of the angles in a triangle add up to 180 degrees. 65+80=145 and when you do 180-145, you get 35 degrees. You can check to see if it's correct by adding 35, 65, and 80 together.

$65+80=145$

$180-145=35$

$35+65+80=180$

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What is the range of the function shown in this table?

Nataly_w [17]

Answer: D

Step-by-step explanation:

when you look at the range, you're looking at the Y values. you start with the smallest number and put them in order from least to greatest, no repeats. (ex: 4,4,8,3,12 would become 3,4,8,12

8 0

3 years ago

Find an equation of the circle whose diameter has endpoints , 6−2 and , −4−4 .

MrRissso [65]

If you need just the answer, it's in bold at the bottom. Otherwise, the process for how I got there is below.

In order to find the equation, we first find the midpoint. This will give us the center of the two endpoints. Then, we do the distance formula to find how many units there are between the endpoints and cut it in half to find the radius. After, we plug in the new information into the equation format of the circle.

Midpoint = $( \frac{x_{1}+ x_{2} }{2}, \frac{ y_{1} + y_{2} }{2} )$

So plug in the ordered pairs given to get:

Midpoint = $( \frac{6-4}{2}, \frac{-2-4}{2})$
Midpoint = $( \frac{2}{2}, \frac{-6}{2})$
Midpoint = (1, - 3)

This is your center.

Now for the distance between the endpoints.

Distance = √((X₂ - X₁)² + (Y₂ - Y₁)²)
Distance = √((-4 - 6)² + (-4 - (-2))²)
Distance = √((- 10)² + (- 2)²)
Distance = √(100 + 4)
Distance = √104 which simplifies to 2√26

So the distance between the two endpoints (the diameter) is 2√26 units long. We divide this by 2 and get the measurement of the radius. The radius is √26 units long.

Now we plug in to the equation of a circle:

(x - h)² + (y - k)² = r²

The center of the circle is represented by the ordered pair (h, k) and the radius is represented by r.

So your equation becomes:
(x - 1)² + (y + 3)² = (√26)²

Which simplifies to your final answer:

(x - 1)² + (y + 3)² = 26

4 0

3 years ago

A study was conducted to determine whether a new highway should be built next to the river in a town. Half of the residents in t

Tamiku [17]

Answer:

The sampling of this study is bias

Step-by-step explanation:

Sampling bias is a bias that is gotten during sampling where some members of the population have a lower representation or probability than others in the sample pool. In this case, only the residents living near a river was sampled, and because they are subjected to relatively the same conditions (living near a river), the result of the study will not be a true representation of every member of the town because the people living far away from the river will most likely have different opinions due to their different environmental exposure than the people living close to the river. The correct thing to have been done for the result to be reliable and accurate will be to sample at random, people in the two both close to and far away from the river, or to sample equal number of people each living close to and far away from the river.

Another example of sampling bias is a study to determine the effect of alcohol on pregnancy in women in America, and only pregnant white women who drink are sampled, leaving out Black or Hispanic women, what ever result gotten in the study may hold true for white women in America, but it may not hold true for every woman in America

8 0

3 years ago

Solve the equation P=k x t / V for the letter k

madreJ [45]

P=kt / V

PV = kt

PV / t = k

k = PV / t

6 0

3 years ago

Helpp i am really bad with math

Brut [27]

Answer:

1. 4y-12

2. c

For #1 you distribute the 4 to the y and the 3. 4 times 3 equals 12.

For #2 you factor out the 3 and you get 3(5x+1)

7 0

3 years ago

Read 2 more answers