Area=length x width
A=lw
A=12 3/8
l=x
w=2 3/4
first, make your mixed numbers into improper fractions
12 3/8 --> 99/8
2 3/4 --> 11/4
then, set equal denominators
99/8 and 22/8
99/8=22/8x --plug in values
99/22=x --divide both sides by 22/8
convert improper fraction to mixed number
99/22 --> 4 11/22 --> 4 1/2
therefore, the length is 4 1/2 meters
Answer:
38/100
Step-by-step explanation:
To combine the amounts, add the fractions with a common denominator.
3/10 kilogram flour is 30/100.
8/100 kilogram of sugar.
Both now have the same denominator. Add the numerators to find the total.
30/100 + 8/100 = 38/100
Triangle QST is similar to triangle PQR
We are given that measure of angle SRP is 90°
Q is the point of the hypotenuse SP
Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s
We need to find which triangle is similar to triangle PQR
So,
Using Angle - Angle - Angle Criterion We can say that
m∠PQR = m∠SQR (AAA similarity)
m∠SQR=m∠SQT (AAA similarity)
Where m∠Q =90° in ΔQST and PQR
Therefore ΔQST is similar to ΔPQR
Learn more about similarity of triangles here
brainly.com/question/24184322
#SPJ4
Since you need an isolated variable to use the substitution method, we need to re-arrange one of the equations. This will probably be easiest to do with the first one.
Add 5y to both sides of the first equation.
x=10+5y
Now, in the second equation, put in 10+5y in any spot that has an x.
2(10+5y)-10y=20
Distribute the 2 to both numbers in the parenthesis.
20+10y-10y=20
Combine like terms.
20=20
This means that the two equations are actually the same. You can see this if you multiply the whole first equation by 2
2(x-5y=10)
2x-10y=20, which is the same as the second equation. Therefore, the two equations are actually the same one.
