The adjacent supplementary angle to any of the interior angles of a triangle is called an exterior angle of a triangle.

Answers

Answer 1

Answer:

Correct

Step-by-step explanation:

The supplementary angle to any of the interior angles of a triangle is called an exterior angle, they are supplementary because they form a 180º angle when you extend a straight line from the adjacent side of the angle and any straight angle is a 180º angle, so supplementary angles added up would make 180º.


Related Questions

Aging workers of the Neotropical termite, Neocapritermes taracua, develop blue crystal containing glands ("backpacks") on their backs, When they fight intruding termites and are hampered, these "blue" termites explode, and the glands spew a sticky liquid (Sobotnik et al. 2012). The following data are from an experiment that measured the toxicity of the blue substance. A single drop of the liquid extracted from blue termites was placed on individuals of a second termite species, Labiotermes labralis, and the number that were immobilized (dead or paralyzed) within 60 minutes was recorded. The frequency of this outcome was compared with a control treatment in which liquid from glands of "white" termites lacking the blue crystals was dropped instead.
Is the blue liquid toxic compared to liquid from white termites?
Liquid source Unharmed Immobilized
Blue workers 3 37
White workers 31 9

Answers

Answer:

The blue liquid is toxic

Step-by-step explanation:

From the calculations I have done and attached to this problem

Null hypothesis:

H0 : p1 <= p2

Alternate hypothesis:

H1 : p1 > p2

^p1 = 0.925

^p2 = 0.2250

^P = (x1 + x2)/(n1+n2)

= 0.575

After calculating, I got test statistics = 6.33 ( check attachment)

P(z > 6.33) = 0.0000

In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.

Please check attachment for calculated test statistics.

324 soldiers queued up such that the number of queues is equal to the number of soldiers in each queue. find the number of queues

Answers

I think so answer will be 164.

Helpppppp!!! PLEASE
:((

Answers

Answer:

Using the vertical line test, the functions are b, c, d, and f

Step-by-step explanation:

a and e both fail the vertical line test, therefore, it's not a functions.

B, c, d, and f are functions because they pass the vertical line test. If you were to draw a straight line down the graph, the points would only touch the line once. A and E however, touch the line two or more times.

I mark as brainliest ​

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

:)

Find the slope of the line passing through the points (8,-4) and (-6,-3).

Anybody know this ?

Answers

Answer:

= -1/14

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( -3 - -4)/( -6 -8)

   = ( -3+4)/( -6-8)

   1/-14

= -1/14

Cualquiera de las dos rectas puede ser la de pendiente 1 o pendiente 2, sólo hay que
conservarla hasta el final de la operación.
BLO
Fórmula que vamos a aplicar:
m-m
1+m-m
tan 0=
Pendiente de la recta 3x - 4y + 8 = 0
Pendiente de la recta 2x + 3y - 23 = 0
Sustitución de datos
tan 0 =
Al realizar la operación de la fórmula se obtiene la tangente del ángulo, por lo que hay
que buscar el inverso de la tangente, que es el valor del ángulo de intersección entre
las rectas dadas.
tan 8 =
El valor del ángulo e es

Answers

Lo siento, no sé español, quizá alguien más te ayudaría

If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?

Answers

If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.

So consider two cases:

• If c = 2, then we're left with 6a + 9b = 21.

• If c = 1, then 6a + 9b = 41.

We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.

This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.

solve the quadratic equation 3x^2-5x-7=0

Answers

Step-by-step explanation:

[tex]3x^{2} -5x -7 = 0 \\ 3x^{2} -5x = 7 \\ x^{2} -\frac{5}{3}x = \frac{7}{3} \\ x^{2} -\frac{5}{3}x +\frac{25}{36} = \frac{7}{3} +\frac{25}{36} \\ (x -\frac{5}{6})^{2} = \frac{84 +25}{36} \\ (x -\frac{5}{6})^{2} = \frac{109}{36} \\ x -\frac{5}{6} = ±\sqrt{\frac{109}{36}} \\ x -\frac{5}{6} = ±\frac{\sqrt{109}}{6} \\ x = ±\frac{\sqrt{109}}{6} +\frac{5}{6}[/tex]

Equation from the positive root:

[tex]x = \frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{\sqrt{109} +5}{6}[/tex]

Equation from the negative root:

[tex]x = -\frac{\sqrt{109}}{6} +\frac{5}{6} \\ x = \frac{-\sqrt{109} +5}{6}[/tex]

Answer:

[tex]x = \frac{\sqrt{109} +5}{6}\\[/tex] and [tex]x = \frac{-\sqrt{109} +5}{6}\\[/tex] satisfy your quadratic equation.

Given : A quadratic equation is given to us . The equation is 3x² - 5x - 7 = 0 .

To Find : The roots of the equation .

Solution : Given quadratic equation is 3x²-5x-7=0. So , let's factorise it to get the zeroes of the equation .

⇒ 3x² -5x - 7 = 0.

Here now , use Quadratic formula , of the quadratic equation in standard form of ax² + bx + c = 0.

[tex]\boxed{\red{\bf x\:\:=\:\:\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}}}[/tex]

On substituting respective values ,

⇒ x = -(-5) ± √ (-5)² - 4×3×(-7) / 2 × 3.

⇒x = 5 ± √ [ 25 + 84 ]/ 6 .

⇒ x = 5 ± √ 109 / 6 .

x = 5 + 109 / 6 , 5 - 109 / 6.

[tex]\purple{\underbrace{\underline{\boxed{\red{\tt \purple{\longmapsto} x = \dfrac{5+\sqrt{109}}{6}, \dfrac{5-\sqrt{109}}{6}}}}}}[/tex]

A juice box has a length of 2 inches, a width of 1 inch, and a height of 4 inches. What is the volume of the juice box?

Answers

Answer:

8 in

Step-by-step explanation:

L × W × H = V2 × 1 × 4 = 8 in

I hope this helps!

A regular hexagon is rotated about its center. By which angle could the hexagon be rotated so that it is mapped onto itself?
30°
45°
600
90°
Previous

Answers

Answer: 60

Step-by-step explanation:

How much mixed spice will she need for 6 spice

Answers

Answer:

who

Step-by-step explanation:

The slope of a line is 2. The y-intercept of the line is 6. Which statements accurately describe how to graph the
function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2. left 1 to locate the next ordered pair
on the line. Draw a line through the two points.
O Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair
on the line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair
on the line. Draw a line through the two points.

Answers

Answer:

A

Step-by-step explanation:

f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!

What is 5 8/100
as a decimal?
O
A. 5.008
0
B. 5.08
O
C. 5.8
0 D. 58

Answers

Answer:

5.08

Step-by-step explanation:

5   8/100

Since there are 2 zero's in 100, we need two numbers in the top

Replace 8 with 08 which is the same number

5  08/100

Now write as a decimal

5.08

Answer:

B. 5.08

Step-by-step explanation:

[tex]5\frac{8}{100} = \frac{508}{100}[/tex]  508 ÷ 100 = 5.08

I hope this helps!

Write a positive or negative integer that represents the situation.

An elevator goes down 8 floors.

Answers

Negative because it is going down

Top Brass Trophy Company, makes large championship trophies for youth athletic teams. At the moment they are planning production for fall sports: football and soccer. Each football trophy has a wood base, an engraved plaque, a large brass football on top, and returns $12 in profit. Soccer trophies are similar except that a brass soccer ball is on top, and the unit profit is only $9. Since the football has an asymmetric shape, its base requires 4 board feet of wood; the soccer base requires only 2 board feet. At the moment there are 1000 brass footballs in stock, 1500 soccer balls, 1750 plaques, and 4800 board feet of wood.

Required:
a. Define your decision variables and variable restrictions.
b. Build and present your linear programming model.
c. If you can, solve your linear programming model by graphical method. Otherwise, state your reason. Note that you can derive an optimal solution exactly by solving related equations.
d. If the number of available plaques is 200, modify your model and solve it again.

Answers

Answer:

a) maximize 12F + 9S

where:

F = football trophies

S = soccer trophies

b) constraints:

wood ⇒ 4F + 2S ≤ 4800

plaques ⇒ F + S ≤ 1750

brass footballs ⇒ F ≤ 1000

brass soccer balls ⇒ S ≤ 1500

c) using solver, the optimal solution is 650F + 1100S = $17,700

d) plaques ⇒ F + S ≤ 200, then

optimal solution is 200F = $2,400

if m<2 = 115 degrees what is m<1 ? (There you go)

Answers

Answer:

65

Step-by-step explanation:

180 - 115 = 65

This is the easiest way to think about and do it but your teacher might want you to do it a different way.

Answer:

65

Step-by-step explanation:

Determine how many solutions the following equation has using quadratic formula x^2+5x=-8

Answers

Answer:

I will be using differentiation method

Step-by-step explanation:

x^2+5x =-8

2×x ×x^2-1 +5x = -8

2x +5x = -8

7x = -8

divide both sides by the co-efficient of x

7x÷7=-8÷7

x =-1.5

please help explain if you can​

Answers

Answer:

A

Step-by-step explanation:

58-90 bc its a right triangle

hope this helps

8x - 9 = - 2x + 11 ​

Answers

Answer:

10/3

3.333333

3  1/3

Step-by-step explanation:

hope this helps

1. You are eating on a Tootsie Roll Lollipop that is in the shape of a sphere. It is giving up volume at a steady rate of 0.25 in3 /min. How fast will the radius be decreasing when the Tootsie Roll Pop is .75 inches across?

Answers

Answer:

Step-by-step explanation:

Since the Tootsie Roll lollipop is a sphere

volume of sphere= [tex]\frac{4}{3}piR^3[/tex] = -0.25 [tex]in^3/min[/tex]

the negative sign indicates that the volume is decreasing

upon differentiating

as the diameter given is =0.75 so radius will be = 0.375

[tex]dV/dt = 4piR^2*dR/dt[/tex]

so [tex]dR/dt = 0.25/4*3.14 *(0.375)^2[/tex]

So the radius is decreasing at the rate of dR/dt= 0.142in/min

Solve the equation. Then check your solution.
-4/5 w+ 1/4= 1/5 + 1/3w. A.-27/68.
B.3/68.
C.3/28.
D-3/68

Answers

it would be c hope that helps

Answer:

CORRECT ANSWER IS B

Step-by-step explanation:

edge 2023 ;D

what is the equation of the line perpendicular to the line y = -x + 2 through the point (3, 5)?

Answers

Answer:

First, solve 3x+2y=4 for y.

*Subtract 3x from both sides*

2y=-3x+4

*Divide both sides by 2*

y=-3/2x+2

Parallel lines have the same slope so the answer is y=-3/2x+7/2

Hope this helps!!

Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a
perimeter represented by the expression 6x + 2. Write the expression that represents the
difference in the perimeters of Rectangle ABCD and Rectangle PQRS. Write the steps and
solution.

Answers

Answer:

D. [tex] 3x + 1 [/tex]

Step-by-step explanation:

Perimeter of Rectangle ABCD = [tex] 9x + 3 [/tex]

Perimeter of Rectangle PQRS = [tex] 6x + 2 [/tex]

Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:

[tex] (9x + 3) - (6x + 2) [/tex]

Open Parentheses

[tex] 9x + 3 - 6x - 2 [/tex]

Collect like terms

[tex] 9x - 6x + 3 - 2 [/tex]

[tex] 3x + 1 [/tex]

find the value of x.
The answer is 13, but I need to show my work

Thank you guys

Answers

Answer:

Know the properties of vertical angles.

Step-by-step explanation:

Vertical angles are equal to each other, so we must make them equal to each other in an equation:

6x+2=80

6x=78

x=13

Hi Guys

Please answer this question. I will choose Brainliest.

Also please do a step by step method.

Worth 10 points and it is a Maths question.

Cheers,
Jake

Answers

Answer:

In simplifying this is simple.

2-4 x + 3x-12.2x+9x2-x-12

the function is graphed below. On which interval of X is the average rate of change of the function the greatest?

Answers

Answer:

Between x = 48 and x = 45.

Step-by-step explanation:

Average rate of change of a function in the given interval is represented by,

Average rate of change = [tex]\frac{\triangle y}{\triangle x}[/tex]

From the table attached,

Average rate of change of the function between x = 3 and x = 9

= [tex]\frac{16-7}{9-3}[/tex]

= 3

Average rate of change in the interval x = 9 and x = 22

= [tex]\frac{32-16}{22-9}[/tex]

= [tex]\frac{16}{13}[/tex]

= 1.23

Average rate of change in the interval x = 9 and x = 22,

= [tex]\frac{45-32}{45-22}[/tex]

= [tex]\frac{13}{23}[/tex]

= 0.57

Average rate of change in the interval x = 45 and x = 48,

= [tex]\frac{63-45}{48-45}[/tex]

= 6

Therefore, average rate of change is maximum between x = 45 and 48.

Option given in bottom right will be the answer.

The grid shows the number of hours four people worked and the total amount they each earned in dollars.

Total Amount Earned (dollars)

55

Yves

45+

40+

35+

Mia

30

25+

Sam

20+

Carlos

15+

10+

5+

+++++

0 1 2 3 4 5 6 7 8 9 10 11 12 13

Hours Worked

5

Which statement is true?

O A. Sam worked 20 hours and earned $5.

O C. Mia worked 35 hours and earned $7 an hour.

O D. Yves worked 5 hours and earned $50 an hour.

O B. Carlos worked 2 hours and earned $20.

Ok

Answers

Answer:

The correct statement are D and B.

Step-by-step explanation:

There are 4 data points on the grid labeled with names: Carlos at point (2, 20). Sam at point (5, 25). Yves at point (5, 50). Mia at point (7, 35).

The data can be represented in tabular form as follows:

Employees       Number of hours          Amount earned

  Carlos                        2                                  $20

   Sam                          5                                  $25

  Yves                          5                                  $50

   Mia                           7                                  $35

The provided data can be written in statement form as follows:

Carlos worked 2 hours and earned $20 an hour.Sam worked 5 hours and earned $25 an hour.Yves worked 5 hours and earned $50 an hour.Mia worked 7 hours and earned $35 an hour.

Thus, the correct statement are D and B.

30% of what equals 600

Answers

Answer: it equals 180 hope it helps

Answer:

180

Step-by-step explanation:

30% × 600 =

(30 ÷ 100) × 600 =

(30 × 600) ÷ 100 =

18,000 ÷ 100 =

180

Hope this helps!! Good luck on your assignment!

There is a box with an area of 112 sq inches and a height of 3.5 inches. What is the width of the box?

Answers

Answer:

32 inches

Step-by-step explanation:

Because height times width equals area,

we can divide 112 by 3.5 to get the width

So it is 32 inches

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