Answers:
The next two terms are 67.5 and 101.25 in that order.
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Explanation:
Divide the second term over the first to get 30/20 = 1.5
Divide the third term over the second term to get 45/30 = 1.5
The common ratio is 1.5, which means we multiply 1.5 by each term to get the next term
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fourth term = 1.5*(third term) = 1.5*45 = 67.5
fifth term = 1.5*(fourth term) = 1.5*67.5 = 101.25
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As a shortcut you can plug n = 4 and n = 5 into the function t(n) = 20*(1.5)^(n-1) to get the fourth and fifth terms respectively.
Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.
x=32 (final answer).
Type 1 and type 2 diabetes share the problem of high levels of blood sugar. The inability to control blood sugar causes the symptoms and the complications of both types of diabetes. But type 1 diabetes and type 2 diabetes<span> are two different diseases in many ways. According to the latest (2014) estimates from the Centers for Disease Control and Prevention (CDC), 29.1 million people, or 9.3 percent of the U.S. population, have diabetes. Type 1 diabetes affects just 5 percent of those adults, with type 2 diabetes affecting up to 95 percent. </span>
Step-by-step explanation:
x1=2. y1=1. x2=4. y2=5
by midpoint formula,
2+ 4/2 = 6/2 =3
1+5 /2 =6/2 = 3
therefore,the midpoints are (3,3)
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7x-4=2
add 4 to both sides
7x=2+4
7x=6
divide 7 to both sides
x=6/7
