the measure of the angles of a triangle are shown in the figure below. solve for x.

Answer:

[4,infinity] for DECREASING

[negative infinity, 4] for INCREASING

Step-by-step explanation:

Answer:

F(1) = - 1

Step-by-step explanation:

F(x) = 2x-3

F(1) = 2(1)-3 (plug in 1 for x because 1=x)

F(1) = 2-3 (multiply 1 and 2)

F(1) = - 1

Answer:

Step-by-step explanation:

6)b) Sin A - x Cos A = 0

Sin A = x Cos A

[tex]\dfrac{Sin \ A}{Cos \ A} = x[/tex]

[tex]\dfrac{1}{x}=\dfrac{1}{\dfrac{Sin \ A }{Cos \ A}}=1*\dfrac{Cos \ A}{Sin \ A}=\dfrac{Cos \ A}{Sin \ A}[/tex]

[tex]RHS = x +\dfrac{1}{x}\\\\\\[/tex]

         [tex]= \dfrac{Sin \ A}{Cos \ A}+\dfrac{Cos \ A}{Sin \ A}\\\\\\=\dfrac{Sin \ A*Sin \ A}{Cos \ A*Sin \ A}+\dfrac{Cos \ A * Cos \ A}{Sin \ A* Cos \ A}\\\\\\= \dfrac{Sin^{2} \ A}{Cos \ A*Sin \ A}+\dfrac{Cos^{2} \ A}{Cos \ A* Sin \ A}\\\\= \dfrac{Sin^{2} \ A+Cos^{2} \ A}{Cos \ A*Sin \ A}\\\\=\dfrac{1}{Cos \A*Sin \ A}\\\\= \dfrac{1}{Cos \ A}*\dfrac{1}{Sin \ A}\\\\=Sec \ A * Cosec \ A[/tex]

          = LHS

7a) 1 - Sin A = 1/2

     [tex]1 = \dfrac{1}{2}+ Sin \ A\\\\1-\dfrac{1}{2}=Sin \ A\\\\\dfrac{1}{2}=Sin \ A\\[/tex]

⇒ A = 30°

Sec² A = Sec² 30° = [tex](\frac{2}{\sqrt{3}})^{2}=\frac{2^{2}}{(\sqrt{3)^{2}}}=\frac{4}{3}[/tex]

[tex]tan^{2} \ A = tan^{2} 30 = (\dfrac{1}{\sqrt{3}})^{2} = \dfrac{1}{3}[/tex]

LHS = 6 Sec² A + 9 tan² A

       [tex]= 6*\dfrac{4}{3}+9*\dfrac{1}{3}\\\\\\=2*4 + 3*1\\\\\\= 8 + 3\\\\= 11 = RHS[/tex]

Answer:

16/40 = 0.4

Step-by-step explanation:

Find total marbles then divide the number of green by total.

Answer:

x + 2 + 3x = 30

Step-by-step explanation:

Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.

Let x = Zach's car length.

Zach's car length is x.

"Ginny's car is 2 more than 3 times the length of Zach's car."

Ginny's car length is 2 + 3x.

Add the lengths:

x + 2 + 3x

"The sum of the lengths of both cars is 30 inches."

x + 2 + 3x = 30

Answer: x + 2 + 3x = 30

Answer: 19 macaroons

Step-by-step explanation:

Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.

33=x+x+5

33=2x+5

33-5=2x+5-5

28=2x

28/2=2x/2

14=x

This means that Em made 14 macaroons.

14+5=19

Therefore, Jim baked 19 macaroons.

Answer:

Step-by-step explanation:

The solution of a linear system is the intersection of the lines.

We can see the lines A and B intersect at the point (7.5, 12) which is the solution.

See attached for better visualization.

Answer:

(7.5,12.5)

Step-by-step explanation:

Answer:

12,880

Step-by-step explanation:

You put them in least to greatest and then take one off each end, like the smallest and largest go first(5,468 and 13,215). The median is the one left in the middle and there can be more than one, but in this case there is only one and it is 12,880.

Answer:

There would be a line going directly through the x-asis

Step-by-step explanation:

Answer:

50000 4000 800 90 6

Step-by-step explanation:

there is the answer.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

[tex]m=\frac{2Ke}{v\\^{2} }[/tex]

Step-by-step explanation:

n+4-9-5n

n-5n+4-9

-4n-5

It is composite because it can be divided by 2 and 4.

Answer:

18).

[tex]n + 4 - 9 - 5n \\ = (n - 5n) + (4 - 9) \\ = - 4n - 5 \\ = - (4n + 5)[/tex]

20).

It is a composite number, because it had more than two factors

Answer:

10, 12, 14

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let (x+2) be equal to the next even integer.

Let (x+4) be equal to the largest even integer out of the three.

We're given:

⇒ smallest number + (2 × middle number) = 20 + largest number

Construct an equation:

[tex]x+2(x+2)=20+(x+4)[/tex]

Combine like terms:

[tex]x+2x+4=20+x+4\\3x+4=x+24\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10, making the next two even integers 12 and 14.

I hope this helps!

Answer:

a²+(b-c)²

hope it helps

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

Answer: I think Plan A is the cheapest

Step-by-step explanation:

I would say this because all it is is a 10 cent incline and 30 dollars cheaper, meaning it would take almost 15 weeks to earn 30 dollars on the plan a, while plan b will already be at like 100 Dollars.

I am sorry if I didn't completely answer your question but I did the best to my ability

Thanks!

Answer:

it would be false

Step-by-step explanation:

Answer:

7.5 degrees per hour.

Step-by-step explanation:

:)

Answer:

x=10

Step-by-step explanation:

do problem like image attached

Answer:

this question doesn`t have much information but here`s my best guess

(2x-y)^2

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y.

1. **Difference between 2x and y:** The difference between 2x and y is calculated by subtracting y from 2x. This gives us the expression "2x - y," which represents the numerical difference between these two quantities.

2. **Square of the Difference:** To square this difference, we simply multiply "2x - y" by itself. When you square something, you multiply it by itself. In mathematical notation, squaring is denoted using an exponent of 2, which is written as "^2."

So, combining the two steps, we have:

[tex](2x - y)^2[/tex]. This expression represents the result of squaring the difference between 2x and y. When you expand this expression, you get a quadratic expression, which may include terms like [tex]4x^2, y^2[/tex], and -2xy, among others, depending on the values of x and y.

To know more about difference :

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Answer:

According to my equation it's 20°

Answer:

c

Step-by-step explanation:

let x represent the equally priced bracelets of which there are 4 , so 4x

We know she spent $64 on rings and a total of $200 was spent , then

64 + 4x = 200 ← represents the situation

x represents the cost of a bracelet

Answer:

c

Step-by-step explanation:

the total amount paid at the jewelry is 200

64 was spent on rings

the rest amount of money was spent on 4 bracelets

let the price of one bracelet be x

200=4(x)+64

200=4x+64

Answer:

Im pretty sure it would be C

Step-by-step explanation:

The location of R on the number line will be 15/7 so option (C) will be correct.

In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Distance from S to T = 3 + 9 = 12

So,

SR + RT = 12

And given,

SR/RT = 3/4 ⇒ SR = (3/4)RT

By substitution,

(3/4)RT + RT = 12

RT ( 7/4) = 12

RT = 48/7

Now the location of point R ⇒

OT - RT = 9 - 48/7 = 15/7

Hence "The location of R on the number line will be 15/7".

To learn more about the number line,

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Answer:

Step-by-step explanation:

Answer: 468 sandwiches

Step-by-step explanation:

subtract 812 from 2450. you're left with 1,638 dollars left.

divide 1638 by 3.5 and you get 468