∡b is a vertical angle to ∡a and therefore a twin, and we know that ∡a = 120°, thus since ∡b = ∡a, ∡b = 120° as well.
a full circle has a total of 360°, ∡d and ∡c are vertical angles, namely two angles across from each other at a junction, and therefore ∡d = ∡c.
∡a + ∡b is 120° + 120° thus 240°, since a circle has a total of 360°, 360 - 240 = 120, so the other two angles pick up that slack and divide it among each other evenly, 120/2 = 60, so ∡d = ∡c = 60°.
Answer:
Condition 1:
four times the sum of X and Y = 4(X + Y)
Condition 2:
the sum of four times X and Y= 4X + Y
In condition 1, both the variables are first added and then multiplied by four. This can be simplified as:
4X +4Y
I condition 2, only the variable X is multiplied with 4 and then added to Y.
With positive integers, condition 1 will always give a greater value.
With negative integers, condition 2 will have greater value.
I hope it will help you!
Answer:
width=2 ft, length=(3x+4)ft
Area of Rectangle=width x length
=2ft . (3x+4)ft
=6x+8 ft sq
Area of Rectangle <56 ft sq
6x+8 ft sq <56 ft sq
6x < 56 ft sq - 8 ft sq
6x < 48 ft sq Substeracting 8 on both sides
6x/6 < 48 ft sq/6 Dividing by 6 on both sides
x < 8 ft sq
Step-by-step explanation:
<span>v(x)=(s/t)
= (3x - 6) / (-3x+6)
= [3(x-2)] / [-3(x-2)] --> 3 is factored out
= 1/-1 </span>---> common terms are cancelled out.
= -1 ---> This is the
simplified formula.
To find the domain, we equate the denominator to 0.
-3x+6 = 0
3x = 6
x = 2
Domain: all values except 2.
w(x)=(t/s)(x)
= (-3x+6)x / (3x-6)
= [-3x(x-2)] / [3(x-2)] --> 3 is factored out
= -x --> The common terms are cancelled out. This is the simplified formula.
Solving for domain:
3x-6 = 0
3x = 6
x = 2
Domain: all values except 2.
13 hundreds= 130 tens= 1300 ones
