Answer:
Step-by-step explanation:
11) strategy: since they tell us. indirectly, that the length of JK is the same as LM then we can set those two equal, solve for X and then.. when we have X we can figure out the lenght of JK and LM and then just divide that by 2 go get PK ( :0 Player Killer ??? no , not that PK)
solve JK and LM
3x + 23 =9x-19
42 = 6x
7 = x
now that we know x = 7 plug it into either equation to come up with the length of JK or LM . I'll pick JK just b/c it was 1st
3(7) + 23 = JK
21+23 = JK
44 = JK
now take half of 1/2*JK= 22 that is PK ( are you sure that 's not player killer?)
PK = 22
12) strategy: set the two arcs BG and GC equal and solve for X, then plug x into either equation and the multiply the answer by 2 to find arc AB
9x-20 = 5x + 28
4x = 48
X = 12
9(12) -20 = BG
88 = BG
2*88 + AB
176 = AB
13) done
14) strategy: find the angle at L, and that will also be the arc of MK
<em>copy and past the below</em> helpful trig functions into your computer
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
<em>copy and past the above</em> :
use which ever trig function you want , we have all the sides of the triangle, I'll use CAH
Cos(Ф) = 9/15
Ф = arcCos(9/15)
Ф = 53.13010°
arc MK = 53.13010°
15) strategy: arc JK is just 2 times MK
2*MK = 106.26020°
arc MK = 106.26020°
16) find arc JPK strategy: JPK is just the remaining part of a full circle of 360 - MK = 253.7397°
arc JPK = 253.7397°
Right triangle means we can use a^2+b^2=c^2
isosceles means 2 sides are equal legnths
the hypotenuse is normally the longest side so the equal sides are the other sides so therefore
a=b
therefor
(a^2)+(a^2)=c^2
2(a^2)=16^2
2(a^2)=256
divde both sides by 2
a^2=8
the side legnth of the other 2 sides is the square root of 8 which is aprox 2.8284271247452
but we only want the tenth so we look at the hundreths as well
2.82
round to the nearest tenth
2.8 cm is the answer of the legnths
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, 
![\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}](https://tex.z-dn.net/?f=%5CRightarrow%5C%207y-3y%3D40-8%5C%5C%5C%5C%5CRightarrow%5C%204y%3D32%5C%5C%5C%5C%5CRightarrow%5C%20y%3D8%20%5Ctext%7B%20%5BDivide%20both%20sides%20by%204%5D%7D)
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
The coordinates of the vertices of triangle A'B'C' are 
, 
and 
.
Step-by-step explanation:
According to this statement, triangle ABC must be translated 5 units in the -y direction to form triangle A'B'C'. We need to use the following operations:
(1)
(2)
(3)
If we know that 
, 
and 
, then the new vertices of the rectangle are, respectively:
, ,
The effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is C. The graph of f(x) is shifted 7 units down.
<h3>What is a graph?</h3>
A graph is a diagram showing the relation between variable quantities, each measured along with one of a pair of axes at right angles.
In this case, the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is that the graph of f(x) is shifted 7 units down.
The missing options include:
A. The graph of f(x) is shifted 7 units up
B. The graph of f(x) is shifted 7 units to the left
C. The graph of f(x) is shifted 7 units down
D. The graph of f(x) is shifted 7 units to the right.
Learn more about graph on:
brainly.com/question/19040584
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