Answer:
Yes, Triangles in (1) are congruent
Step-by-step explanation:
Two conditions must be satisfied before two triangles can be deemed or declared as being congruent.
1.) They must posses similar shape
2.) They must posses similar size ( that is the corresponding sides and angles of both triangles must be the same)
Triangles in (1) meet both criterias by possessing similar shape with the size and length of the corresponding angles also being the same.
Therefore, the two triangles are congruent.
The answer you are looking for is b = -6.
There are 2 ways to find this. You could use...
- Add together 7 and 12 to get 19, then subtract 19 from both sides to get b = -6. OR...
- Subtract 12 from both sides to get b + 7 = 1, then subtract 7 from both sides to get b = -6.
Either way, you will get the same answer of b = -6. One method is just longer than the other. I hope this helps!
We can find the area using two ways.
First way:
There is a square and triangle.
The square is a 3 by 3.
3×3=9
The triangle is a 3 by 7.
3×7× .5
10.5
10.5+9
19.5 in²
Second way
The formula to find the area of a trapezoid is:
(b+b)×h/2
Let's fill the information in.
(3+10)×3/2
13×1 1/2
19.5
So the area of the game piece is 19.5 in².
Answer: 7/3
Step-by-step explanation: let the original real number be x. After moving the decimal point of this real number two digits to the right, the number becomes 100x. The positive difference between the two numbers is 100x - x = 99x. Dividing the difference by 11, we have 99x/11 = 9x, which we are told is 21, so we have the equation 9x = 21/9, which equals 7/3. Thus, the original real number is 7/3.