Answer:
Area of resulting triangle will be 900 
.
Step-by-step explanation:
When sides of any polygon if scaled by a factor of k
then area is scaled by 
According to the above statement
therefore here in the question since area of original triangle was 36
and both base and height are scaled by a factor of 5.
therefore area of scaled triangle will be 
times of the original
that is 25 x 36 which gives 900
So area of resulting triangle will be 900
The value of x in the equation is 26. 087
<h3>What are algebraic expressions?</h3>
Algebraic expressions are defined as expressions made up of terms, constants, coefficients, factors and variables.
They may also include certain mathematical or arithmetic operations which includes;
- Bracket
- Division
- Addition
- Subtraction
- Parentheses
- Multiplication and so on
Given the equation;
(0.020) (0.030) / (0.10)x = 2.3 × 10-4
We can simply the equation following the steps;
expand the brackets, we have;
6× 10^-4/ 0.10x = 2.3 × 10^-4
Now, cross multiply
0.10x × 2.3 × 10^-4 = 6× 10^-4
Divide both sides by 2.3 × 10^-4
0. 10x = 6× 10^-4/2.3 × 10^-4
Find the quotient
0. 10x = 2. 608
Let's make the variable 'x' by dividing both sides by it's coefficient
0. 10x/0.10 = 2. 608/0. 10
x = 26. 087
Hence, the value is 26. 087
Learn more about algebraic expressions here:
brainly.com/question/4344214
#SPJ1
The answer is 12>x>-7
Step-by-step explanation:
it's first divided into 2 parts
1 . 15 > 2x - 9
2. 2x - 9 > -23
Then solve them individually.
let's do it,
<u>First half</u>
15 > 2x - 9
15+9 > 2x
24 > 2x
24/2 > x
12>x
<u>Second half</u>
2x-9>-23
2x>-23+9
2x>-14
x>-14/2
x>-7
<u>Joining of the two halves</u>
We have :
12>x>-7
.1.Scale Factor of Triangle STU to Triangle PQR= 1.5
2.Scale Factor of Trapezoid EFGH to Trapezoid JKLM =2
3. about 90 armadillo
1.Side ST: 15 ÷ Side PQ: 10 = 1.5
2.Side JM: 14 ÷Side EH: 7 = 2
3.843/7=120.428571429
843/4=210.75
210.75-120.428571429=90.321428571
This rounds to 90 armadillo
Hope this helps :3 ❤
