An angle measures 52° less than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer 1
Answer:

Answer:

64º and 116º

Step-by-step explanation:

x  + (x - 52) = 1080

2x - 52 = 180

2x = 232

x = 116º

x - 52 = 64º


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A line has a y-intercept of -5 and passes through the point (-3, 1). write the equation of the line.

Can anyone please help with this question

Answers

so 4(x+5)=x+8
first we distribute
using the distributive property of multiplication which is a(b+c)=(ab)+(ac)

4(x+5) is also (4x)+(4(5))=4x+20

4x+20=x+8
subtract x from both sides
3x+20=8
subtract 20 from both sides
3x=-12
divide both sides by 3
x=-4

4(x+5)=x+8
4x+4*5=x+8
4x+20=x+8
4x-x+20=x+8-x
3x+20-20=8-20
3x=-12
3x/3=(-12)/3
x=-4

Simplify radical. Intermediate Algebra

Answers

180 ÷ 2 = 90; 90 ÷ 2 = 45 ; 45 ÷ 3 = 15 ; 15 ÷ 3 = 5 ; 5 ÷ 5 = 1 => 180 = (2^2) * (3^2) * 5 => √(180) = 2*3 * √(5 )=6 √(5)  ;

In the same way we have √(245)=7 √(5)  ; and √(320 )=8 √(5)  ;

Finally, 6 √(5)+7 √(5)  - 8 √(5) = 13 √(5) - 8 √(5) =7 √(5).

Choose the factored form of the given equation.6x2 - 14x + 8 = 0

2(3x - 2)(x - 2) = 0
2(6x - 4)(x - 1) = 0
2(x - 1)(3x - 4) = 0

Answers

6x^2 - 14x + 8 = 0
2(3x^2 - 7x + 4) = 0
2(3x^2 - 3x - 4x + 4) = 0
2(3x(x - 1) - 4(x - 1)) = 0
2(x - 1)(3x - 4) = 0

115 = 5k equations and inequalities
help pl0x

Answers

Answer:

\sf{115 = 5k}

:  \implies \sf{5k = 115}

:  \implies \sf{k =   \cancel(115)/(5) }

:  \implies \sf{k = 23}

Answer: 23

Explanation:

115=5k
115/5=5/5k
23=k

What is the kinetic energy of a 3-kilogram ball that is rolling at 2 meters per seconds?

Answers

E_k=(1)/(2)m.v^2\n \n E_k=(1)/(2).3*20^2\n \n E_k=(1)/(2)*3*400\n \n \boxed{E_k=600 \ J}

The equation of a parabola is shown.x-7=3/4y^2
What are the coordinates of the focus?
A.) (71/3,0)
B.) (7,-1/3)
C.) 73/4,0)
D.) 7,-3/4)

Answers

The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)

Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2

Therefore the coordinates of the focus is:
(7+(1/3),0)

The answer is A.) (71/3,0)