Answer:
141
Step-by-step explanation:
CD = | 4-(-2)| = 6 
DB = |3-(-7)| = 10 
area of a right triangle 
A = (leg 1 x leg2)/2 = (6 x 10)/2 = 30 
EB = |3-(-3)| = 6 
EF = |-8-(-2)| = 6 
area of a square = side^2 
A = 6^2 = 36 
segment G(and a point with same x coordinate of H) 
|8-3| = 5 
segment H(and the same point) 
|-10-(-8)| = 2 
A = (5x2)/2 = 5 
segment I(and the same point) 
|-8-6| = 14
Area of a rectangle 
A = base x width 
A = (5 x 14) = 70
total area = 70 + 5 + 36 + 30 = 141
 
        
             
        
        
        
Answer:
210 hours
Step-by-step explanation:
<u>Step 1:  Make an expression</u>
(2/3 * 1575) / 5
<u>Step 2:  Multiply</u>
(2/3 * 1575)/5
(1050) / 5
<u>Step 3:  Divide</u>
(1050) / 5
210 hours
Answer:  210 hours
 
        
             
        
        
        
The term that best describes a proof in which you assume the opposite of what you want to prove is proof of contradiction. Contradiction means opposite.
Your answer is: C) Proof of Contradiction 
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Answer:
x = 10 , y = 15
Step-by-step explanation:
8x - 10 and 7x are alternate angles and are congruent , then
8x - 10 = 7x ( subtract 7x from both sides )
x - 10 = 0 ( add 10 to both sides )
x = 10
Then
8x - 10 = 8(10) - 10 = 80 - 10 = 70
6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is
6y + 20 + 70 = 180
6y + 90 = 180 ( subtract 90 from both sides )
6y = 90 ( divide both sides by 6 )
y = 15
 
        
             
        
        
        
Answer:
12 years and 16 years
Step-by-step explanation:
their ages are in the ratio 3 : 4
let Anjali = 3x and Aditya = 4x ← present ages
In 8 years then
Anjali = 3x + 8 and Aditya = 4x + 8, hence
3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years
7x + 16 = 44 ( subtract 16 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old