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natulia [17]
2 years ago
13

In the figure, Line a is parallel to line b. If angle 1 = 105º what is the measurement of angle 6?

Mathematics
1 answer:
vlabodo [156]2 years ago
8 0

Answer:

75

Step-by-step explanation:

angle 4 is 75 because it forms a linear pair with angle 1, and 6 is alternate interior with 4 which makes it equal

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Four friends are sharing a pizza. The chart shows how much pizza each friend ate. Who ate the most pizza?
eduard

Answer:

Sinla

Step-by-step explanation:

Kanya 0.15

Than three-twentieths  = 3/20 = .15

Sinla two-ninths  = 2/9 = .22222

Jessica 0.2


Divide your fractions to get a decimal.  Compare your decimals.


7 0
3 years ago
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Write an explicit rule for the geometric sequence 4, 8, 16, 32, ..
Paul [167]
First term:  a(1) = 4; common ratio:  r = 2

Then:

a(n) = 4(2)^(n-1)

Check:  Predict the 4th term using this formula:

a(4) = 4(2)^3 = 4(8) = 32  (correct)
5 0
3 years ago
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Please help me with math thanks
Korvikt [17]
Given that a room is shaped like a golden rectangle, and the length is 29 ft with the ratio of  golden rectangle being (1+√5):2, thus the width of the room will be:
ratio of golden triangle=(length if the room)/(width of the room)
let the width be x
thus plugging the values in the expression we get:
29/x=(1+√5)/2
solving for x we get:
x/29=2/(1+√5)
thus
x=(29×2)/(1+√5)
answer is:
x=58/(1+√5)
or
 byrationalizing the denominator by multiplying both the numerator and the denominator by (1-√5)
58/(1+√5)×(1-√5)/(1-√5)
=[58(1-√5)]/1-5
=(58√5-58)/4
7 0
3 years ago
F(x)=√x+11. Find the inverse of f(x).
MaRussiya [10]

Answer:

f(x)⁻¹ = (x - 11)²

Step-by-step explanation:

To find the inverse of the function, you need to (1) swap the places of the "x" and "y" variables and then (2) solve for "y". Remember, f(x) is another way of writing "y".

y = √x + 11                                        <----- Original equation

x = √y + 11                                        <----- Swap variables

x - 11 = √y                                         <----- Subtract 11 from both sides

(x - 11)² = (√y)²                                  <----- Square both sides

(x - 11)² = y                                        <----- Simplify

Another way of writing the output of an inverse function is with f(x)⁻¹.

5 0
2 years ago
72% of ______ days is 18 days.
maks197457 [2]

Answer:

25 days

Step-by-step explanation:

lets the blank = x

Convert 72% to decimal: 0.72

0.72x = 18

x = 18/0.72

x = 25

-Chetan K

4 0
2 years ago
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