Solve for x. Round to the nearest tenth, if necessary.

True, the three sides will form exactly one unique triangle.

A triangle is three dimensional shape, whose third length is less than the sum of the first and second length.

(b - a) < k < (b + a)

(6.3 - 5.2 ) < k (6.3  + 5.2 )

1.1 units < k < 11.5 units

The third length = 10.5 units which is greater than 1.1 units and less than 11.5 units.

Thus, the three sides will form exactly one unique triangle.

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Answer:

Use long division to get the answer of 78.75

Step-by-step explanation:

long division ends with this answer, ➗

Answer:

because the when you multiply that the fraction answer is 2/2 or just simply 1

Step-by-step explanation:

2 1 2

— × — = — or 1

1 2 2

Answer:

169 cm or 1.69 m

Step-by-step explanation:

the area of the square=length of any side^2

Answer:

Both A and B are true,

Step-by-step explanation:

The median of set A equals the median of set B.

The mean of set A equals the mean of set B.

Answer:

Slope:-2

Step-by-step explanation:

You have to do y-y divided by x-x so 3-9 which equals -6 and 5-2 which equals 3 and then you have -6/3 and simplifying that you get -2.

Answer:

Disagree because the slopes are different.

Step-by-step explanation:

When an equation is in y=mx+b form, answering these kinds of questions becomes easier. "M" is your slope, so if m for both equations match, then your lines will be parallel. This one shows the first equation as 2/1, so you would rise 2 and run 1. but the second is 2.5 or 5/2, so you would rise 5 and run 2. rise meaning y-axis and run being the x-axis. Whenever possible, I turn equations to the y=mx+b form because it makes everything a bit clearer, in my opinion.

Answer:

Step-by-step explanation:

m∠E = m∠H

( 3x - 20 )° = ( x + 15 )°

3x - 20 = x + 15

3x - x = 15 + 20

2x = 35

x = 17.5

m∠H = 3(17.5) - 20 = 32.5 °

Option D is the correct answer

About 5 employees have ages that are older than 54 years.

A box plot provides the summary of a data using the five number summary that is minimum, lower quartile, median, upper quartile and maximum.

From the diagram, the third quartile is 54 years. Hence 75% of the employees are between 35 to 57 years.

25% are older than 54 years, hence:

Employers older than 54 years = 25% of 23 employees = 5.75

About 5 employees have ages that are older than 54 years.

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Answer:

5 is the answer

Step-by-step explanation:

Answer:

62.8

Step-by-step explanation:

So, keep in mind that the area of a triangle is equivalent to: 1/2(b)(h) with b being your base and h being your height.

We have our base: 10, and our angle: 105. Now we need to find our height. You don't just have to look at a triangle the way that it's oriented in the problem. Rotate it so that 10cm is at the bottom, and it will be much easier.

From there, you can create a right triangle and draw a line from the top of the triangle straight to the base. Then, you have a right triangle, where you can solve the height, and then plug your answer into the area formula. Further steps are detailed in the picture.

Answer:

- 4

Step-by-step explanation:

the minimum value of the parabola is the value of the y- coordinate of the vertex.

given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

then the x- coordinate of the vertex is

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

y = x² - 2x - 3 ← is in standard form

with a = 1 and b = - 2 , then

[tex]x_{vertex}[/tex] = - [tex]\frac{-2}{2}[/tex] = 1

substitute x = 1 into the equation for corresponding y- coordinate

y = 1² - 2(1) - 3 = 1 - 2 - 3 = - 4

then minimum value is - 4

Answer:

B. Line segment

Step-by-step explanation:

A line segment starts with a point and ends with a point.

Answer: The two integers are 8 and 9.

Step-by-step explanation: Let n represent the number.

n^2 + (n + 1)^2 = 145

By foiling, this can be rearranged to:

n^2 + n^2 + 2n + 1 = 145

Subtract 145 from both sides:

2n^2 + 2n - 144 = 0

Divide both sides by 2:

n^2 + n - 72 = 0

Factor the polynomial:

(n + 9)(n - 8) = 0

Solve for n:

n = -9, n = 8

Since they need to be consecutive, make the 9 positive. It will be positive either way because it is being squared.

Now, n = 9 and n = 8.

These are your two integers. Hope this helps!

Answer:

x = 20

Step-by-step explanation:

given a line parallel to a side of a triangle and intersecting the other two sides, then it divides those sides proportionally , that is

[tex]\frac{10}{5x+10}[/tex] = [tex]\frac{11}{121}[/tex] = [tex]\frac{1}{11}[/tex] ( cross- multiply )

5x + 10 = 110 ( subtract 10 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Step-by-step explanation:

Because 3^-3=0.037 and 1/27 also equals 0.037 so they are equivalent thats why.

Using compound interest, it is found that:

a) He will have paid $18,774 in total.

b) He paid $4,774 more than the price of the car.

The amount of money earned, in compound interest, after t years, is given by:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

In which:

In this problem, the parameters are:

[tex]P = 14000, r = 0.049, n = 12, t = \frac{72}{12} = 6[/tex].

Item a:

[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]

[tex]A(6) = 14000\left(1 + \frac{0.049}{12}\right)^{12 \times 6}[/tex]

[tex]A(6) = 18774[/tex]

He will have paid $18,774 in total.

Item b:

18774 - 14000 = $4,774.

He paid $4,774 more than the price of the car.

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Answer: See below

Step-by-step explanation:

Sophie's speed is --> s miles/hour

Yesterday, Sophie biked for --> t hours

Distance = speed * time

Distance = (s miles/hour)(t hours)

Distance = (s)(t)

Therefore, Sophie's route was s*t or st miles long

Answer:

13,693

Step-by-step explanation:

3 years x 12 months a year = 36 months.

322 per month x 36 months = 11,592

+

the 2,101 down payment

=

13,693

Answer:

5600

Step-by-step explanation:

160000 x 0.035= 5600

Answer:

B)

Step-by-step explanation:

[tex]\textsf{2 is a rational number as }2=\dfrac21[/tex]

[tex]\sqrt{3} \textsf{ is an irrational number}[/tex]

[tex]2\sqrt{3} \textsf{ is an irrational number}[/tex]

Answer:

35.5?

Step-by-step explanation:

I am not 100 % but this is the answer I got

Answer:

23.4units

Step-by-step explanation:

√(22)²+(8)²

√484+64

√548

23.4

Answer:

Perpendicular lines are lines that are at right angles to each other.

For perpendicular lines, the product of their slopes is -1.

[tex]\implies m_2=\dfrac{-1}{m_1}[/tex]

(where [tex]m_1[/tex] and [tex]m_2[/tex] are the slopes of perpendicular lines)

The slope of the given equation is -3.  Therefore, to find the slope of the line that is perpendicular:

[tex]m_2=\dfrac{-1}{-3}=\dfrac13[/tex]

Now we have the slope, we can use the point-slope form of a linear equation with [tex]m=\dfrac13[/tex] and [tex](x_1,y_1)=(2,-6)[/tex] to find the equation of the perpendicular line:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-(-6)=\dfrac13(x-2)[/tex]

[tex]\implies y+6=\dfrac13x-\dfrac23[/tex]

[tex]\implies y=\dfrac13x-\dfrac{20}3[/tex]

Answer:

-4 integral and 2 prime number