All categories

2 years ago

Jan drew a triangle with angle measures that are 125° and 15°. What must the last degree measure be?

2 answers:

7 0

The last angle measure must be equaled to 40 degrees because the sum of all the angles must equal to 180. So 125 + 15 + x = 180; x = 40

timurjin [86]2 years ago

6 0

There is 180 degrees in a triangle, add 125 and 15 and you’ve got 140 that means there is 40 degrees left so the answer must be 40 degrees.

You might be interested in

After a hike, a group of s students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expressi

marissa [1.9K]

Answer:

40/s

Step-by-step explanation:

Number of granola boxes = 5

Number of granola per box = 8

Total granolas = 8 * 5 = 40 granola bars

Number of students = s

If each students takes equal share : Number if granola bars taken by each :

Total number of granola bars / number of students

= 40 ÷ s

40/s

8 0

3 years ago

Find the inverse of f(x)= -x + 3

inna [77]

Let g the inverse function of f.

The most important property of g and f being inverses of each other, is that

g(f(x))=x, also f(g(x))=x

so, what one function 'does' to x, the other 'undoes' it.

Thus, we have:

f(g(x))=x and alos f(g(x))= -g(x)+3, from the rule

thus :

-g(x)+3=x

-g(x)=x-3

g(x)=-x+3

check: f(g(x))=f(-x+3)=-(-x+3)+3=x-3+3=x

Answer: the inverse of f is g, such that g(x)=-x+3

4 0

2 years ago

A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open

svet-max [94.6K]

So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is $[(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours$ where n represents the number of days in the month

apros 501.429

8 0

3 years ago

Question:

prohojiy [21]

Answer:

x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x over the real numbers:

x/x - 1 = x - 3 - 2/x

x/x - 1 = 0:

0 = x - 3 - 2/x

0 = x - 3 - 2/x is equivalent to x - 3 - 2/x = 0:

x - 3 - 2/x = 0

Bring x - 3 - 2/x together using the common denominator x:

(x^2 - 3 x - 2)/x = 0

Multiply both sides by x:

x^2 - 3 x - 2 = 0

Add 2 to both sides:

x^2 - 3 x = 2

Add 9/4 to both sides:

x^2 - 3 x + 9/4 = 17/4

Write the left hand side as a square:

(x - 3/2)^2 = 17/4

Take the square root of both sides:

x - 3/2 = sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

x = 3/2 + sqrt(17)/2 or x - 3/2 = -sqrt(17)/2

Add 3/2 to both sides:

Answer: x = 3/2 + sqrt(17)/2 or x = 3/2 - sqrt(17)/2

3 0

3 years ago

√245c^2 simplify :

raketka [301]

My boiii, tiger algebra helped me out a little on this one, I got 7c * sqrt(5)

8 0

3 years ago