Answer:
she has 90 feet of ribbon in total and she can cut 270 pieces
Step-by-step explanation:
there's 108 inches in 9 feet
108/4=27
now you have 10 rolls so multiply
27x10=270 ribbons
you have 10 rolls of 9 feet to make ribbons
10x9=90 feet
Answer:
All four options are correct.
Step-by-step explanation:
Option 1
m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]
By the converse property of corresponding angles theorem,
CD║EF
Since, angle between AB and CD is 90°,
AB⊥CD
True
Option 2
Since, angles between AB and EF is 90°, both will be perpendicular.
AB ⊥ EF
AB ⊥ CD
True
Option 3
CD║EF and AB ⊥ EF
True
Option 4
CD║EF, AB ⊥ CD and AB ⊥ EF
True
Therefore, all options are correct.
Step-by-step explanation:
Given that,
∠PSQ = 13x+7
∠QSR = 42x+8
We need to find the measure of angles.
We can use the property of linear pair. ATQ,
13x+7 + 42x+8 = 180 (Linear pair)
Taking like terms,
13x+42x = 180 - 7-8
55x = 165
x = 3
So,
∠PSQ = 13x+7 = 13(3) + 7 = 46°
∠QSR = 42x+8 = 42(3) + 8 = 134°
Hence, this is the required solution.