5/12(poetry) + 2/5(biographies) = 25/60 + 24/60 = 49/60
60/60 - 49/60= 11/60
11/60 are the remainder of the books in the shipment.
Answer:
y=4x-5.
Step-by-step explanation:
slop-interception form of the required line is y=kx+b, where k - slop, b - intercept;
1) to find value of k:
if the required line is parallel to the given line, then slop of the given line = slop of the required line, it means k=4 and the required line is y=4x+b;
2) to find the value of 'b':
if to substitute the given coordinates into the equation of the given line, then:
15=4*5+b, b= -5.
3) finally, y=4x-5
Answer:
The value of x is 3
Step-by-step explanation:
∵ Quadrilateral ABCD is congruent to quadrilateral JKLM
∴ AB = JK and BC = KL
∴ CD = LM and AD = JM
∵ BC = 8x + 7
∵ KL = 31
∵ BC = KL
→ Equate their right sides
∴ 8x + 7 = 31
→ Subtract 7 from both sides
∵ 8x + 7 - 7 = 31 - 7
∴ 8x = 24
→ Divide both sides by 8 to find x
∴
= 
∴ x = 3
∴ The value of x is 3
Step-by-step explanation:
first we notice that the line RS makes a diagonal in the circle.Since we are given ROP we can find SOP by:
180⁰-125⁰=55⁰
since they are in each others opposite point they are equal so that means that if we try the equation we did before: SOQ =ROP and QOR=SOP