What is the segment 7x+5=8

Answer:

x = 6.5

Step-by-step explanation:

In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).  

Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

Tangent = opposite/adjacent

We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent.  So, our equation would look like this:

tan (57)° = 10/x

Multiply both sides by x

x (tan (57)°) = 10

Divide both sides by tan (57)°

10 / tan (57)° = 6.49408 = 6.5

Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

Remeber that triangles interior angles add up to 180.

Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so

[tex]90 + 57 + x = 180[/tex]

[tex]x = 33[/tex]

So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]

where the numerator are the side measures, and the denominator are the angle measures.

Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]

Multiply both sides by sin 33 to isolate x.

We get

[tex]x = 6.494[/tex]

Round if needed

In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.

#1

[tex]\\ \sf\Rrightarrow -2x=-3x+14[/tex]

[tex]\\ \sf\Rrightarrow -2x+3x=14[/tex]

[tex]\\ \sf\Rrightarrow x=14[/tex]

#2

[tex]\\ \sf\Rrightarrow x^2-3y+12[/tex]

[tex]\\ \sf\Rrightarrow 5^2-3(5)+12[/tex]

[tex]\\ \sf\Rrightarrow 25-15+12[/tex]

[tex]\\ \sf\Rrightarrow 10+12[/tex]

[tex]\\ \sf\Rrightarrow 22[/tex]

Answer:

Step-by-step explanation:

There are only 5 solutions:

x=-1

x=-1/3

x=0

x=1

x=8/3

See the graph

In blue: y=[x]²

In red : y=x+2(x-[x])

Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

we need the image

Step-by-step explanation:

Answer:

C.(CCCXLIII)

Step-by-step explanation:

Answer:

2550-2500 = 50

25% percent increase.

[tex]\\ \rm\Rrightarrow 11+7x=-17[/tex]

[tex]\\ \rm\Rrightarrow 7x=-7-11[/tex]

[tex]\\ \rm\Rrightarrow 7x=-28[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{-28}{7}[/tex]

[tex]\\ \rm\Rrightarrow x=-4[/tex]

Answer: x = -4

Step-by-step explanation:

Given equation

11 + 7x = -17

Subtract 11 on both sides

11 + 7x - 11 = -17 - 11

7x = -28

Divide 7 on both sides

7x / 7 = -28 / 7

[tex]\boxed{x=-4}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

112 guests

Step-by-step explanation:

I. If her total cost is 773$

When Total = DJ + Cake + Guest

            773 = 250 + 75 + 4(x)

            773 = 325 + 4(x)

            773 - 325 = 4(x)

            448 = 4x

               x = 448/4

               x = 112

That makes guests are 112

Step-by-step explanation:

for a=

[tex] \frac{s - n}{n} [/tex]

Answer:

76/99

Step-by-step explanation:

76 ÷ 99 = 0.767676....

Answer:

19/25 is the fraction of 0.76

Step-by-step explanation:

its 0.76

Step-by-step explanation:

steps are in picture above.

Note:if you have any question please let me know.

i also need the ans TT.............

Answer:

33.75

Step-by-step explanation:

1. figure out equation - 45% of 75.

2. 45% = 45/100 = 45 ÷ 100

3. 45/100 /75

Answer:

B) [tex]x\geq0[/tex]

Step-by-step explanation:

The domain of the square root function is all real non-negative numbers. In a numerical format that is as follows:

[tex]D(\sqrt{x})={[0,\infty )}[/tex]

This is more commonly denoted as:

[tex]x\geq0[/tex]

In the case of the given function:

[tex]g(x)=\sqrt{8x}[/tex]

The domain is still ([tex]x\geq0[/tex]) as multiplying a value by (8) does not alter this. A negative number times (8) is still negative and thus cannot be a part of the square root domain. Similarly, a positive number times (8) is still positive and remains a part of the square root domain. Moreover, (0) times (8) is still (0).

Answer:

16 is a natural, whole and integer

Step-by-step explanation:

16 is a natural, whole and integer

it is not rational or irrational because

rational numbers are written in p/q as well as irrational

natural numbers start from 1 till infinite

whole numbers start from 0 to infinite

integers include all the positive and negative numbers

Answer:

creo que es la respuesta 8× +8=72

Answer:

3x

Step-by-step explanation:

[tex] \sqrt{9 {x}^{2} } [/tex]

[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]

[tex] \sqrt{ {3}^{2} } x[/tex]

[tex] = 3x[/tex]

Answer:

Step-by-step explanation:

The largest absolute value gets the sign.

To use an example

4 - 8

Think money for a moment. You have 4 dollars in your pocket. You owe your mother 8 dollars. Where are you?

You should think you are 4 dollars in debt. That being the case, the sign of the answer is minus.

4 - 8 = -4  Eight is the largest number if its absolute value is taken. Absolute value means you turn it positive and subtract.

Suppose the question is

-9 + 5   Again money. You have 5 dollars in your pocket, but this time you owe mom 9 dollars

She wants her -4 dollars right now.

Answer:

A. 7(3) + 3k = total amount of tennis balls bought in 2 years

B. 39 tennis balls

Step-by-step explanation:

B. 7(3) + 3(6)

21 + 18 = 39 tennis balls

Answer:

A

Step-by-step explanation:

a^m * a^n = a^(m+n) so 23^a * 23^b = 23^(a+b)

Answer:

a. b + 3 extra pencils

b. 3b

Hope that's correct

Answer:

3

Step-by-step explanation:

Given:

Berny spent 20 dollars total

He spent 2 dollars on a soft drink

He bought 6 candy bars

Solution:

Amount spent on candy bars = total amount spent - amount spent on soft drink.

Amount spent on candy bars = 20 - 2 = 18

Cost of each candy bar = total amount spent on candy bars / # of candy bars bought

Cost of each candy bar = 18/6 = 3

Answer: Each candy bar costs $3

Step-by-step explanation:

Set variables

Soft drink = $2

Candy bars = $6x

Total cost = $20

Set equation

2 + 6x = 20

Subtract 2 on both sides

2 + 6x - 2 = 20 - 2

6x = 18

Divide 6 on both sides

6x / 6 = 18 / 6

x = 3

Hope this helps!! :)

Please let me know if you have any questions

Sure, I will help you.

25. Measure of MP=152 degrees.

26. Measure of QNL=208 degrees.

27. Measure of WT=155 degrees.

28. Measure of WTV=205 degrees.

I believe that these answers are correct, but if not, please let me know. If you have any questions, feel free to ask.

Answer:

Answer: Rocket distance (rocket sled) =3 mil Time Taken=6seconds

Average Speed=Total Distance ÷ Time Taken. Average speed= 3÷ 6=1/2. So therefore average speed in miles per seconds= Average in miles/seconds

Average speed in miles per seconds=1/2

Average in miles/hour = Average speed in miles per seconds/hour.

Average in miles/hour=1/2÷60=30

Therefore Average speed in miles per hour =30 miles per hour

Answer:

They are: 114, 18, 204.