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satela [25.4K]
3 years ago
11

Classify a. acute b. obtuse c. right d. straight

Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0
Acute= an angle smaller than 90 degrees
obtuse= an angle larger than 90 degrees
right= an angle that is 90 degrees
straight= an angle that is 180 degrees
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There are books in a library, there are 4 different kinds of books. Science books make up 3/4 of art books. Comic books are 1/4
Sergeeva-Olga [200]

Answer:

The total number of books is 1020.

Step-by-step explanation:

Denote the books by their first letter.

From the provided information:

  • S=\frac{3}{4}A
  • C=\frac{1}{4}T
  • H=\frac{1}{5}T
  • H = A-80

Compute the expression of <em>T</em> as follows:

H = A-80\\\\\frac{1}{5}T=A-80\\\\T=5A-400...(i)

Compute the value of <em>C</em> in terms of <em>A</em>:

C=\frac{1}{4}T\\\\C=\frac{1}{4}\times {5A-400}\\\\C=\frac{5}{4}A-100...(ii)

Compute the value of <em>A</em> as follows:

Use expressions (i) and (ii):

T=S+C+H+A\\\\5A-400=\frac{3}{4}A+\frac{5}{4}A-100+A-80+A\\\\5A-400=4A-180\\\\A=220

Compute the value of <em>T</em> as follows:

T=5A-80\\\\T=(5\times 220)-80\\\\T=1100-80\\\\T=1020

Thus, the total number of books is 1020.

4 0
3 years ago
which is the equation of a line in point slope form that passes through the point 2,5 and has a slope of 1/2
VMariaS [17]

Answer:

see below

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y - 2 = 4(x- -1)

y - 2 = 4(x+1)

slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+b

Substituting the point in

2 = 4(-1)+b

2 = -4+b

6 =b

y = 4x+6

standard form

Ax +by = c  where A is a positive integer and b and c are integers

y = 4x+6

Subtract 4x from each side

-4x+y = 6

Multiply by -1

4x -y = 6

8 0
3 years ago
What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
alexira [117]
The answer is B

Hope I helped
3 0
3 years ago
Thanks for any help!!
KIM [24]
I don’t think so sorry if I am wrong I took algebra like 2 years ago
4 0
2 years ago
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