The angles with measures (5x + 4y)º and 74º are congruent because they form a pair of alternate interior angles between the parallel horizontal bars, so
5x + 4y = 74
The other two labeled angles are also congruent because they are corresponding interior angles that occur between the parallel vertical bars, so
20x + 4y = 164
Then
(20x + 4y) - (5x + 4y) = 164 - 74
(20x - 5x) + (4y - 4y) = 90
15x = 90
x = 6
which means
5*6 + 4y = 74
4y = 44
y = 11
Answer:
number 1 is c number 2 is b,c,e number 3 is b
Step-by-step explanation:
1: if you see something to the power you will always think of repeated multiplication off the bat. so you just multiply the coefficient by the amount of the exponent.
2: 1*1*1*1*1*1*1*1*1*1*1*1*1*1*1*1=1 no
2*2*2*2=16 yes
4*4=16 yes
8*8=64 no
16=16 yes
3: 3/4*3/4*3/4=27/64
hope this helps! have a nice day!
Answer: total length of frame material is 3.2 meters
Step-by-step explanation:
The perimeter of an object or a plane shape is the distance around the object of plane shape.
Mila plans to frame a poster she bought at a concert. The total length of frame material that she needs would be the perimeter of the rectangular frame. The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(length + width)
The frame will be rectangular with a base of 0.65 meters and a height of 0.95 meters. Therefore,
Perimeter = 2(0.65 + 0.95)
= 3.2 meters
Answer:
3.9 or less
Step-by-step explanation:
This is because 4 times 7 is equal to 28, so it has to be less than that!