Answer:

Step-by-step explanation:
Given
The attached proof
Required
Complete the missing piece
In (a), we have:

This implies that, the following sides are similar:



An equation that compares the triangle can be any of:


.....
From the options;
is true
Answer:
perimeter = 20.9 units
Step-by-step explanation:
perimeter
perimeter = distance around two dimensional shape
= addition of all sides lengths
<h2>perimeter of the figure</h2><h2>= AB+BC+CD+AD</h2>
distance formula:

<h3>1) distance of AB</h3>
A(-3,0) B(2,4)
x1 = -3 x2 = 2
y1 = 0 y2 = 4
(substitute the values into the distance formula)


AB = 6.4 units
<h3>2) distance of BC</h3>
B(2,4) C(3,1)
x1 = 2 x2 = 3
y1 = 4 y2 = 1



BC = 3.2 units
<h3>3) distance of CD</h3>
C(3,1) D(-4,-3)
x1 = 3 x2 = -4
y1 = 1 y2 = -3



CD = 8.1 units
<h3>4) distance of AD</h3>
A(-3,0) D(-4,-3)
x1 = -3 x2 = -4
y1 = 0 y2 = -3



AD = 3.2 units
<h2>perimeter of figure</h2>
= AB+BC+CD+AD
= 6.4 + 3.2 + 8.1 + 3.2
= 20.9 units
Answer:
sorry not in that grade
Step-by-step explanation:
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Answer:
36
Step-by-step explanation:
Plug in -7 as m and 2 as n into the expression:
4 | m - n |
4 | -7 -2 |
Solve:
4 | -9 |
4(9)
= 36