Answer:
(3x) ° + (x+ 10)° = 90°
Step-by-step explanation:
(3x) ° + (x+ 10)° = 90°
3x + x + 10 = 90
4x = 90 - 10
4x = 80
x = 20
(3x) ° = 3 x 20 = 60°
(x + 10)° = 20 + 10 = 30°
Answer:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
Step-by-step explanation:
For the rectangle
Length=ℓ
Breadth=b
Area is 12 cm2
ℓb=12
Perimeter is 16 cm
2(ℓ+b)=16
ℓ+b=8
Substitute b=12ℓ from first equation
ℓ+12ℓ=8
ℓ2+12=8ℓ
ℓ2−8ℓ+12=0
Use quadratic formula (x=−b±√b2−4ac2a) to find ℓ
ℓ=−(−8)±√(−8)2−(4×1×12)2×1
ℓ=8±√162
ℓ=8±42
ℓ1=8+42=6
ℓ2=8−42
It should be 153! Hopefully that helps
The answer is 5580270.9797421
Step-by-step explanation:
The sum of two positive numbers is four and three times the smaller number is one more than the larger. What are the two numbers?
Explanation:
To find such a word problem, we can first note that
1.25
+
2.75
=
4
, which makes a nice easy number to refer to verbally.
In addition, note that
3
⋅
1.25
=
3.75
=
2.75
+
1
, which allows us to formulate the second part of the system.
So we can pose a question like:
The sum of two positive numbers is four and three times the smaller number is one more than the larger. What are the two numbers?
How would you solve it?
Let
x
,
y
represent the smaller and larger numbers respectively.
Then from the question:
{
x
+
y
=
4
3
x
=
y
+
1
Subtracting
y
from both sides of the second equation gives us:
3
x
−
y
=
1
Adding this to the first equation gives us:
4
x
=
5
Then dividing both sides by
4
gives us:
x
=
5
4
=
1.25
Subtracting
x
from both sides of the first equation, we have:
y
=
4
−
x
=
4
−
1.25
=
2.75
