Which angle or side combinations can make a triangle? Select all that apply. Angles measuring 90°, 45°, and 45°. Angles measuring 27°, 35°, and 108°. Angles measuring 82°, 41°, and 57°. Sides measuring 8 cm, 12 cm, and 5 cm. Sides measuring 7 in., 4 in., and 13 in. Sides measuring 43 cm, 41 cm, and 58 cm.

Hello!

[tex]\large\boxed{Slope = -\frac{1}{3}}[/tex]

x + 3y = 2

Rewritten into slope form: y = mx + b

Find the slope when rewritten:

Move x to the right hand side of the equation. (Subtract)

x - x + 3y = 2 - x

3y = 2 - x

Divide both sides by 3:

y = 2/3 - 1/3x

Rearrange:

y = -1/3x + 2/3.

The slope is equivalent to -1/3.

Answer: 8 skates

Step-by-step explanation:

Given that:

Skate rental = $3

Let number of skates rented by cotters = x

Hence, amount paid by cotters = 3x

The Moores paid $6 more

Moores amount = 3x + 6

Combined amount paid = 42

3x + 3x + 6 = 42

6x + 6 = 42

6x = 42 - 6

6x = 36

x = 36 / 6

x = 6

Hence, amount spent by the Moore's:

3x + 6

3(6) + 6 = 18 + 6 = $24

Cost per skate rental = $3

Hence x number of skates rented by the Moore's = $24 / 3 = 8 skates

Answer:

excuse me these words are some other language

Answer:

It's y= x-5

Step-by-step explanation:

Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

∵ The surface area of a right circular cylinder is 300 square inches

∴ S.A = 300 in.²

∵ Its radius is 5 inches

∴ r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²

∴ 300 = 31.4h + 157

→ Subtract 157 from both sides

∵ 300 - 157 = 31.4h + 157 - 157

∴ 143 = 31.4h

→ Divide both sides by 31.4

∵ 4.554140127 = h

∴ 4.55 = h

∴ The height of the right circular cylinder is 4.55 inches

Answer:

B.) 4.55

Step-by-step explanation:

Edge 2021

Answer:

-9x+7

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

K N

3x 5x

3x+150:5x-150=7:9

3x+150/5x-150=7/9

9(3x+150)=7(5x-150)

27x+1350=35x-1050

27x-35x=-1050-1350

-8x=-2400

8x=2400

X=2400/8

X=300

Kate money 3x=3×300=900

Answer from abid58b

Answer:

$157.5

Step-by-step explanation:

Given that:

Number of hours worked after the school = 1.5 hours

Earnings per hour = $3.50

Earnings for one day or 1.5 hours = 1.5 \times 3.50 = $5.25

Earnings for 5 days or a week = Number of days [tex]\times[/tex] Earnings for 1.5 hours = 5 [tex]\times[/tex] 5.25 = $26.25

Number of weeks for which Ob works = 6

Total earnings in 6 weeks = Number of weeks [tex]\times[/tex] Earnings in one week = Number of weeks [tex]\times[/tex] Earnings in 5 days

Total earnings in 6 weeks = 6 [tex]\times[/tex] $26.25 = $157.5

Answer:

i think about $3.80

Step-by-step explanation:

Answer:

4 books

Step-by-step explanation:

15-3=12

12/3=4

Answer:

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Step-by-step explanation:

Given the linear inequality

x ≤ 3

substitute the value of x = -2

-2  ≤ 3

TRUE

It is clear that -2 is indeed less than 3. Thus, the ordered pair (-2, 6) is a solution to the linear inequality.

Also,

[tex]x\le \:3\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:3\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:3]\end{bmatrix}[/tex]

Thus, -2 comes under the interval domain of the inequality (-∞, 3].

Hence, (-2, 6) is a solution to the linear inequality.

Answer:

147 gallons

Step-by-step explanation:

21 miles x 7 gallons

Answer:

what are the units?

Step-by-step explanation:

depends on the side of 1 square

if it is 1 unit, perimeter is 22 units

Answer:

t-5=12

Step-by-step explanation:

Answer:

The points from the left;

71, 74 , 77, 80, 83, 86 , 89

Step-by-step explanation:

Here, we want to label the normal curve given the mean and the standard deviation

From what we have, the central part is the mean while the other parts are deviations from the mean

We will label the graph starting from the left to the right

1 is 3 SD from the mean (negatively)

That will be 80-3(3) = 80-9 = 71

2 is 2 SD away

That will be;

80 -2(3) = 80-6 = 74

The 3rd part is 1 SD away

That will be 80-3 = 77

The midpoint is for the mean which is 80

The point after this will be;

80 + 3 = 83

The point after this will be;

83 + 3 = 86

Next is

86 + 3 = 89

Answer:

pi/2 ... 2pi -square root 9..... and then pi +3

Step-by-step explanation:

pretty much the opposite of what it is now

Answer:

a

Step-by-step explanation:

edge

Answer:

a

Step-by-step explanation:

edge

Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

x² + kx + 12 = (x - a) (x - b)

Expand the right side and equate the coefficients:

x² + kx + 12 = x² - (a + b) x + ab

Then

a + b = -k

ab = 12

The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.

Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :

a + (a - 1) = -k   →   2a = 1 - k   →   a = (1 - k)/2

a (a - 1) = 12   →   (1 - k)/2 • ((1 - k)/2 - 1) = 12

→   (1 - k)²/4 - (1 - k)/2 = 12

→   (1 - k)² - 2 (1 - k) = 48

→   (1 - 2k + k²) - 2 (1 - k) = 48

→   k² - 1 = 48

→   k² = 49

→   k = ± √(49) = ±7

Answer:

i think they both scored the same

Answer:

Colton did.

Step-by-step explanation:

Jack's score was 80%.

Colton got a score of 83.33...

I got Colton's score by solving 10/12.

Answer:

it is 1

Step-by-step explanation:

because the line goes through 1 on the y-axis

Answer:

The answer is 1

Step-by-step explanation:

Answer:

3, by 100 times

Step-by-step explanation:

a pH of 3 is ten times more acidic than a pH of 4. Likewise, a pH of 3 is one hundred times more acidic than a pH of 5.

Step-by-step explanation:

m=(y1-y)/(x1-x2)

m=(3-(-4))/(-4-(-2))

m=7/-2=-7/2

y=mx+c

y=-7/2x+c

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

Answer:

n = 14

Step-by-step explanation:

(n + 6)4 = 5

1. multiply by 4

n + 6 = 20

2. substract 6

n = 14

The required value of n is 14 in the given sum.

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

We have been given that the sum of a number, n, and 6 is divided by 4 the result is equal to 5.

According to the given question, we can write the algebraic form would be as:

⇒ (n + 6)/4 = 5

Apply the cross-multiplication operation,

⇒ (n + 6) = 5 × 4

Apply the multiplication operation,

⇒ (n + 6) = 20

⇒ n = 20 - 6

Apply the subtraction operation,

⇒ n = 14

Therefore, the required value of n is 14.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

We need to find slopes of AC and AD and tell if they are same or not.

The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Finding slope of AC

We have A=(3,2) and C=(0,1)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]

So, Slope of AC is [tex]\frac{1}{3}[/tex]

Finding slope of AD

We have A=(3,2) and C=(9,4)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]

So, Slope of AD is [tex]\frac{1}{3}[/tex]

So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Answer:

[tex] y = {x}^{2} - 4x + 4[ /tex]

Step-by-step explanation:

[tex] x = t + 2 \\

\implies \: x - 2 = t....(1) \\

y = {t}^{2} ....(2) \\

plug \: t = x - 2 \: in \: equation \: (2) \\

y = {(x - 2)}^{2} \\

\red{ \bold{ y = {x}^{2} - 4x + 4}}[/tex]