Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB = 
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Using the cosine ratio in right triangle DBC
cos p =
=
=
, thus
p =
(
) ≈ 59°
The answer is: " -21 " .
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We are asked to solve for: "6t" ; which is: "6 * t" .
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Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;
3t − 7 = 5t ; Subtract "3t" from each side of the equation;
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3t − 7 − 3t = 5t − 3t ;
to get: -7 = 2t ;
Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;
-7/2 = 2t / 2 ;
-3.5 = t ; ↔ t = - 3.5 ;
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Now, solve for "6t" ;
6 t = 6*(-3.5) = - 21 . The answer is: " -21 " .
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Answer:
JT=19
Step-by-step explanation:
3x+6+3x+7=37
6x+6+7=37
6x+13=37
-13 -13
6x=24
6x/6=24/6
x=4
3x+7
3(4)+7
12+7
JT=19
Answer:

Step-by-step explanation:
The formula for a circle of radius r centered at (h, k) is ...
(x -h)^2 +(y -k)^2 = r^2
Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...
(x -2)^2 +(y -(-1))^2 = 4^2
(x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A
The translation of the sum a and n is a+n