Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
Answer:
(-38) / (-8)
equals 4.75
a negative divided by a negative is always a positive
Step-by-step explanation:
Penny reads 14 pages in 1/3 hour.
In order for us to know the rate of penny, the number of hours per page, we need to do ratio and proportion.
14 : 1/3 = X : 1
1/3X = 14
X = 42
So there are 42 pages Penny can read in 1 hour.
3(3)^2-2(5)= 17
2(3)^2-3(5)=3
Answer: 14
Hope this helps!!!!!!!!
Answer:
Mr. Miller's farm is 295 acres, and Mr. Newton's farm is 230 acres.
Step-by-step explanation:
From the problem we can make the following equations.....
Let "N" be the area of Mr. Newton's farm and let "M" be the area of Miller's farm. Then.....
N + M = 525
N + 65 = M
Now substitute and get....
N + M = 525
N + N + 65 = 525
2N = 460
N = 230⇒
⇒N + 65 = M
230 + 65 = 295
