Answer:
Option (4)
Step-by-step explanation:
By the property of exterior angle of a triangle,
"Exterior angle of a triangle is equal to the sum of two opposite interior angles."
In the triangle ABC,
∠ACD is an exterior angle and ∠BAC and ∠ABC are the opposite interior angles.
m∠ACD = m∠BAC + m∠ABC
95° = m∠BAC + m∠ABC
Therefore, Option (4) will be the correct option.
Answer:
where is diagram?.........................
Answer
A- 22 square units
B- 28 square units
C- 18 square units
Step-by-step explanation:
A. You can break it up into 3 different rectangles
(1*2)+(2*4)+(2*6)=22
B. You can first start by finding the area then subtracting the the places where it is not covered.
So the area of the whole square is 6*6=36
Now you can subtract the small squares 2*2=4.
This will be put 2 times as there are two small squares.
So you will subtract 8 square units from 36.
36-8=28
C- You can decompose C into a triangle and a rectangle.
The area of a triangle is 1/2*width*height. When you plug the dimensions in you get 1/2*6*2=6 square units.
Now to find the rectangle. The formula is width*length. Plug the dimensions in and you get 2*6=12 square units.
Just add those two together and you get 18 square units.
Answer and explanation:
Given : Equations
1) 
2) 
To find : Tell whether the following equations are true or false. Then, explain your reasoning.
Solution :
Equation means when left hand side and right hand side of the equation is same.
1) 
Take LHS,

Same term with opposite sign cancel each other or sum is zero,


Therefore, Yes, it is true as it satisfy definition of equation.
2) 
Take LHS,

Same term with opposite sign cancel each other or sum is zero,


Therefore, Yes, it is true as it satisfy definition of equation.