Answer:
Step-by-step explanation:
3x-y = 2
2x+y =4
put them into slope intercept form
y=3x-2
y=-2x+4
Now, you can either graph it or use substitution
3x-2 = -2x+4
+2x +2x
5x -2 = 4
+2 +2
5x = 6
5x/5 = 6/5
x = 6/5
3x -2 = y
3(6/5) -2 = y
3 x 6 / 1 x 5 = 18/5
3 3/5 -2 = 1 3/5
Let me know if it's wrong.
Hope this helps
The length of each of its parallel side are 30 cm and 40 cm.
<u>Step-by-step explanation</u>:
- Perimeter of parallelogram = 140 cm.
- The one side of parallelogram = x cm.
- The other side of parallelogram = x+10 cm.
Perimeter of a parallelogram = 2 (base+height)
⇒ 140 = 2(x+x+10)
⇒ 140 = 2(2x+10)
⇒ 140 = 4x+20
⇒ 4x = 120
⇒ x = 120/4
x = 30 cm
∴ The longer side = 30+10 = 40 cm
Answer:
The value of the side PS is 26 approx.
Step-by-step explanation:
In this question we have two right triangles. Triangle PQR and Triangle PQS.
Where S is some point on the line segment QR.
Given:
PR = 20
SR = 11
QS = 5
We know that QR = QS + SR
QR = 11 + 5
QR = 16
Now triangle PQR has one unknown side PQ which in its base.
Finding PQ:
Using Pythagoras theorem for the right angled triangle PQR.
PR² = PQ² + QR²
PQ = √(PR² - QR²)
PQ = √(20²+16²)
PQ = √656
PQ = 4√41
Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.
Finding PS:
Using Pythagoras theorem, we have:
PS² = PQ² + QS²
PS² = 656 + 25
PS² = 681
PS = 26.09
PS = 26
Answer:
d, 700
Step-by-step explanation:
it's the only one that makes sense
