Answer:
Step-by-step explanation:
Find the diagram attached. From the diagram, we can see that;
<USW = <TSR (vertically opposite angles)
Given
<USW = 7x-34
<TSR = 4x+29
Equate
7x-34 = 4x+29
7x-4x = 29+34
3x = 63
x = 63/3
x = 21°
Find <USW
<USW =7x-34
<USW =7(21)-34
<USW = 147-34
<USW = 113°
Hence the measure of <USW is 113°
Answer:
The answer is 32.6741573034
Step-by-step explanation:
General exponential equation
y = A(1+r)^x
where
A = initial value
r = rate increase (+) or decrease (-)
x = time period of the change
y = projected value
y = 300(1.05)^x
in this problem, x = years after 2017
we want to find an x that makes the value more than or equal to 650
650 <= 300(1.05)^x
The length of the pieces are 5 foot and 8 foot.
<h3>what is Algebra?</h3>
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given:
Total length of board is 13 foot.
let the length of first piece be x
and length of second piece be y
So, x+ y = 13 .......(1)
Now, The length of the shorter piece is 1 ft more than half the length of the longer piece
x = y/2 + 1......(2)
Now, solving (1) and (2) we get
y/2 + 1 + y = 13
3y/2 = 12
y=24/3
y=8
Then x= 13-8
x= 5
Hence, the length of the pieces are 5 foot and 8 foot.
Learn more about Algebra here:
brainly.com/question/24875240
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