Answer:
Area of ΔDEF is 
.
Step-by-step explanation:
Given;
ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Length of AB = 
and
Length of DE = 
Area of ΔABC = 
Solution,
Since, ΔABC and ΔDEF is similar and ∠B ≅ ∠E.
Therefore,
Where triangle 1 and triangle 2 is ΔABC and ΔDEF respectively.
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
Thus the area of ΔDEF is .
8k - 6 = 10k + 6
K= -6
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
8*k-6-(10*k+6)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
-2k - 12 = -2 • (k + 6)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : -2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : k+6 = 0
Subtract 6 from both sides of the equation :
Which gives k = -6
Step-by-step explanation:
The surface area of a cylinder is given by
Answer:
#1) -3 feet
#2) 5hours
Step-by-step explanation:
#1) you need to find the rate of change- feet per minute
To find the rate, divide -12 feet by 4 minutes (the twelve in negative because it decreases, almost like subtraction)
-12/4= -3 feet per minute.
Now, multiply by amount of minutes- -3x1= -3 feet in 1 minute
#2) To find the maount of degrees each hour,
divide 10 degrees by 2 degrees per hour.
10/2=5 hours
Hope this helps :)- please give me brainliest!!
Answer:
A number line is used in the mathematical positioning of real numbers that include the numbers from positive infinity to negative infinity. This includes rational, irrational, fractions, and whole numbers. In this case, we are given with an expression that we have to reduce to lowest terms: negative seven and one over two and +1. The first one is equal to -7.5 while the other one is equal to +1. Positive numbers lie on the right side of zero (center of the line) while negative numbers lie on the left on the other hand. -7.5 lies between -8 and -7 while +1 lies exactly between 0 and 2. Both of which are positive numbers.
