Actually Welcome to the Concept of the Similarities.
Since here, first figure is a Triangle, hence similarity of a triangle is given by ratio of it sides and make them equate,
hence for,
1.) 16/12 = x/9 ===> 4/3 = x/9 ===> x = 9*4/3 ==> x = 36/3
hence the value of x is 12 , ===> x = 12 .
2.) here,in the case of a Reactangle the relation is such that, length = 2* breadth,
hence we apply the relation,
x = 2*4.5 ===> x = 9 units.
Answer:
(3,-5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates together and divide by 2
The x coordinate is
(x1+x2)/2
We know one point and the midpoint
( -1+x)/2 = 1
Multiply by 2
-1 +x = 2
Add 1
x =2+1
x=3
To find the y coordinate of the midpoint, add the y coordinates together and divide by 2
The y coordinate is
(y1+y2)/2
We know one point and the midpoint
(3+y)/2 = -1
Multiply by 2
3+y = -2
Subtract 3
y = -2-3
y =-5
The other endpoint is (3,-5)
cos A is 0.8511 and tan B is 1.6
Step-by-step explanation:
Find the 3rd length or the hypotenuse.
<u>Pythagoras theorem</u>
= 
+ 
= 
+ 
= 64 + 25
hypotenuse = 
hypotenuse = 9.4
a) Cos A
<u>Data:</u>
Adjacent = 8
Hypotenuse = 9.4
<u>Formula:</u>
Cos (Angle) = 
Cos A = 
Cos A = 0.8511
A = 
(0.8511)
A = 31.7°
b) Tan B
<u>Data: </u>
Opposite = 8
Adjacent = 5
<u>Formula:</u>
Tan (Angle) = 
Tan B = 
Tan B = 1.6
B = (1.6)
B = 58°
Therefore, cos A is 0.8511 and tan B is 1.6.
Keyword: cos, tan
Learn more about cos at
#LearnwithBrainly
Answer:
(a-f)/6 = r
Step-by-step explanation:
The total Bonnie must pay is the weekend fee plus the hourly rate times the hours worked
Cost = weekend fee * hourly rate* hours
hours = 6
weekend fee =f
hourly rate = r
Cost = a dollars
Substituting in what we know
a = f+ 6r
We want to solve for r
Subtract f from each side
a-f =f-f +6r
a-f = 6r
Divide each side by 6
(a-f)/6 = 6r/6
(a-f)/6 = r
Answer:
The angle for the other interior angel is 75°, all you have to do is subtract 180, from the 105
Step-by-step explanation:
