Find the measure of each unknown angle.

9514 1404 393

Answer:

  ∠S = 38°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so you have ...

  (x+17)° +(2x-2)° +(5x+5)° = 180°

  8x +20 = 180  . . . . .  divide by °, collect terms

  8x = 160 . . . . subtract 20

  x = 20 . . . . . . divide by 8

∠S = (2x -2)° = (2·20 -2)°

∠S = 38°

Answer:

26;40  simplified is 13/20

Step-by-step explanation:

Answer:

1600

Step-by-step explanation:

pls brainliest

Answer:

hope it helped have a good day mate

Answer:

Slope Number 1 is Harry.

Step-by-step explanation:

y = -1/2 + 30

-1 being one less exercise to complete

2 being the 2 minutes spent on each exercise

and 30 being the number of exercises

Answer:

B

Step-by-step explanation:

Hope this helps

Answer:

It would be B

Step-by-step explanation:

Hope this helps

Answer:

15.74

Step-by-step explanation:

7.87 times 2 = 15.74

the density of the other piece of iron is 15.74 g/ml.

Answer:

f(g(x)) = 2x - 7

g(f(x)) = 2x - 2

Step-by-step explanation:

basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function

f(g(x)) = 2(x - 5) + 3

         = 2x - 10 + 3

         = 2x - 7

the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function

g(f(x)) = (2x + 3) - 5

         = 2x + 3 - 5

         = 2x -2

Answer:

negative slope

Step-by-step explanation:

trust me

Answer:

1 cm = 4 km.

Step-by-step explanation:

I think you want the scale of the map.

It is  1 cm = 8/2 = 4 km.

Answer:

I would say 2 hours

Answer:

m

Step-by-step explanation:

Answer:

50 coffees

(and 40 empanadas)

Step-by-step explanation:

x= coffee y=empanadas

.5x+2y=105

x+y=90

Isolate a variable

x+y=90

x-90= -y

-x+90=y

Plug this in for y in the other equation

.5x+2(-x+90)=105

Solve for x

.5-2x+180=105

-1.5x= -75

x=50

we can stop here but that's lame so let's figure out how many empanadas she sold

we know that x=50 so we can just plug this into either beginning equation and solve for y

50+y=90

y=40

Answer:

5,400

Step-by-step explanation:

5% = 270

270 ÷ 5 = 54

54 × 100 = 5400

Answer:

p = 421 - 376 over 376

Step-by-step explanation:

Answer:

38°

Step-by-step explanation:

y = 142°

x + y = 180°{ being supplementary angles }

x + 142° = 180°

x = 180° - 142°

x = 38°

Hope it will help :)

Answer:

The vertex of f(x) is at (-5,-10).

The function g(x) is decreasing at a rate of 5%.

The zeros of h(x) are at x = -3 and x = 1.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]

Decaying exponential function:

A decaying exponential function has the following format:

[tex]A(x) = A(0)(1-r)^{x}[/tex]

In which A(0) is the initial quantity and r is the decay rate.

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Vertex of f:

The function f is given by:

[tex]3(x+5)^2 - 10[/tex]

Expanding the calculations to place at the correct format:

[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]

Which means that

[tex]a = 3, b = 30, c = 65[/tex]

The x-value of the vertex is:

[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]

The y-value of the vertex is:

[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]

The vertex of f(x) is at (-5,-10).

Decreasing rate of g(x).

We have that:

1 - r = 0.95

So

r = 1 - 0.95 = 0.05

Which means that the decreasing rate is of 5%.

The zeros of h(x) are

The zeros are

x + 3 = 0 -> x = -3

x - 1 = 0 -> x = 1

So

The zeros of h(x) are at x = -3 and x = 1.

Answer:

80.3

Step-by-step explanation:

20.075 x 4 = 80.3

Hope that helps!

Answer:

Step-by-step explanation:

You divide 2837 by 3 then your is 947

Answer:

It would cost $30 to buy 10 ice creams.

Step-by-step explanation:

1 ice cream costs $3

10*3=30

Answer:

x = 16

Step-by-step explanation:

Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.

<B is congruent to <E, therefore,

<B = <E

x + 15 = 6x - 65 (substitution)

Collect like terms

x - 6x = -15 - 65

-5x = -80

Divide both sides by -5

x = 16

Answer:

Step-by-step explanation:

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.

Receiver: Kenwood, Sony, Sherwood

Compact disc player: Onkyo, Pioneer, Sony, Technics

Speakers: Boston, Infinity, Polk

Turntable: Onkyo, Sony, Teac, Technics

A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:

A. In how many ways can one component of each type beselected?

B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?

C. In how many ways can components be selected if noneis to be sony?

D. In how many ways can a selection be made if at leastone sony component is to be included?

E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?

ANSWERS:

1) ∛216²=36

2) √81= 9

3) √4∧5=32

4)1.55

5)25

6)X