Answer:
16
Step-by-step explanation:
Divide 64 by 8 to get 8. this is 1/8 of the books.
3/8 were non fiction, or 24
1/4 (2/8) were picture books, or 16
5/8 were non fiction or picture books, so ’the rest‘ of the chapter books is 3/8.
3/8 were chapter books, or 24.
add the amount of picture books and chapter books since they are the fictional texts.
16+24=40
subtract the amount of non fictional books from the amount of fictional books to get the sum.
40-24=16
Answer:
D. 70°
Step-by-step explanation:
Given:
m<DGB = 35°
m<CGF = 75°
Required:
m<AGE
SOLUTION:
m<EGD = m<CGF (vertical angles are congruent)
m<EGD = 75°
m<AGE + m<EGD + m<DGB = 180° (angles on a straight line)
m<AGE + 75° + 35° = 180° (substitution)
m<AGE + 110° = 180°
Subtract 110 from each side of the equation
m<AGE = 180° - 110°
m<AGE = 70°
Answer:
2/4
Step-by-step explanation:
Answer:
(x - 1) (x + 1) (x - 4) (x + 4)
Step-by-step explanation:
actor the following:
x^4 - 17 x^2 + 16
x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:
(x^2)^2 - 17 x^2 + 16
The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):
(x^2 - 1) (x^2 - 16)
x^2 - 16 = x^2 - 4^2:
(x^2 - 1) (x^2 - 4^2)
Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):
(x - 4) (x + 4) (x^2 - 1)
x^2 - 1 = x^2 - 1^2:
(x^2 - 1^2) (x - 4) (x + 4)
Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):
Answer: (x - 1) (x + 1) (x - 4) (x + 4)
Answer:
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is
90+32+a=180
a+122=180
a=58
Now angle x is adjacent to angle a so their sum must equal 180 degrees so
x+58=180
x=122 degrees
