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morpeh [17]
3 years ago
15

Can the angles with measures 80o , 55o and 65o form angles on a line

Mathematics
1 answer:
garik1379 [7]3 years ago
3 0

Answer:

Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees

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Identify all the hyperbolas which open horizontally
dimaraw [331]

Answer:

The hyperbolas which open horizontally are:

(x+2)^2/3^2-(2y-10)^2/8^2=1

(x-1)^2/6^2-(2y+6)^2/5^2=1

Step-by-step explanation:

A hyperbola with equation of the form:

(x-h)^2/a^2-(y-k)^2/b^2)=1 opens horizontally

Then, the hyperbolas which open horizontally are:

(x+2)^2/3^2-(2y-10)^2/8^2=1

(x-1)^2/6^2-(2y+6)^2/5^2=1


6 0
3 years ago
Read 2 more answers
A polling company reported that 33​% of 2302 surveyed adults said that they play basketball. Complete parts​ (a) through​ (d) be
Evgen [1.6K]

Answer:

(a) The exact value that is 33% of 2302 is 759.66.

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball.

(c) The actual number of adults who said that they play basketball is 760.

(d) 11.82% of respondents said that they only play hockey.

Step-by-step explanation:

We are given that a polling company reported that 33​% of 2302 surveyed adults said that they play basketball.

(a) The exact value that is 33% of 2302 is given by;

33\% \text{ of } 2302 = \frac{33}{100}\times 2302

                   = 759.66

(b) No, the result from part (a) could not be the actual number of adults who said that they play basketball because the value in part (a) is in fractions or in decimals and the number of people can't be in fractions. It must be a whole number.

(c) The actual number of adults who said that they play basketball is 760. {As 759.66 rounded to one decimal point}

(d) It is given that among the 2302 respondents, 272 said that they only play hockey.

Percentage of respondents who said that they only play hockey is given by;

=  \frac{272}{2302}\times 100  = 11.82% ≈ 12%

3 0
3 years ago
David cast a shadow 42" long at the same place and time in Emma cast a shadow 28" long. David is 66" tall. What is Emma's height
Nikolay [14]

ANSWER

Emma is 44" tall

EXPLANATION

We have that David cast a shadow 42 inches long and he is 66 inches tall.

At that same place and time, Emma cast a shadow of 28 inches.

Since they are at the same spot and time, we can conclude that the ratio of their height to shadow must be the same.

Let Emma's height be x.

The ratio of David's shadow to height is:

42 : 66 or 42 / 66

For Emma, it is:

28 : x or 28 / x

That means that:

\begin{gathered} \frac{42}{66}\text{ = }\frac{28}{x} \\ \text{Solve for x by cross-multiplying:} \\ 42\cdot\text{ x = 66 }\cdot\text{ 28} \\ x\text{ = }\frac{66\cdot\text{ 28}}{42} \\ x\text{ = 44 inches} \end{gathered}

So, Emma is 44" tall.

3 0
11 months ago
In the right triangle shown, mZA = 45° and AB = 12. How long is BC?
iragen [17]

Answer:

I think BC is 45°÷2 Or 12÷2

Step-by-step explanation:

so the answer is 15° or 6

6 0
2 years ago
What number does x stand for in this equation?<br><br> -7x + 6=27
AURORKA [14]
⓵ You need to solve the left side first in order to isolate the × and find it’s value :

-7× + 6 = 27
-6 -6
↓

-7× = 21
÷-7 ÷-7

↓

× = -3

If you find it too difficult to divide a number by a negative, just divide 21 by 7 and always remember that when dividing, when the signs are different the answer is negative. So knowing that you could just divide 21 by 7, which is 3, and add a negative sign in front!


I hope this helped, if there’s anything let me know! ☻
3 0
3 years ago
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