Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?

A. 0
B. 1
C. 2
D. Infinitely many

Answer:

D x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation:

Apply this method when doing problems similar to this one.

9514 1404 393

Answer:

  (b)  x ≥ 1; f⁻¹(x) = 1+√(x+1)

Step-by-step explanation:

We can find the inverse function by solving for y:

  x = f(y)

  x = y² -2y

  x +1 = y² -2y +1

  x +1 = (y -1)²

  √(x +1) = y -1

  1 +√(x +1) = y

So, the inverse function is ...

  [tex]f^{-1}(x)=1+\sqrt{x+1}[/tex]

For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.

The domain restriction is x ≥ 1.

The inverse function is f⁻¹(x) = 1+√(x+1)

Answer:

B. 15

Step-by-step explanation:

Answer:

w+7=-2

Step-by-step explanation:

The solution of the given inequality is t ≤ -10.

When two values are not equal to one another, there is an inequality between them, which is a mathematical concept. It is a claim that one value exceeds or falls short of another.

Mathematical symbols for inequalities include (less than), > (greater than), (less than or equal to), and (greater than or equal to).

Given that,

t - 4 ≤ -14

The inequality can be solved as below,

t - 4 ≤ -14

t ≤ -14 + 4

t ≤ -10

Therefore, the solution to the inequality is t ≤ -10.

To know more about inequality follow

https://brainly.com/question/24372553

SPJ2

Answer:

D) 6

Step-by-step explanation:

set Q has 16 values which are all even values from 4 to 36

set Z has 11 values that are multiples of 3 from 4 to 36 (6,9,12,15,etc.) however, we have to eliminate the odd ones, leaving the following six:

6, 12, 18, 24, 30, 36

Answer:

D. 6

Step-by-step explanation:

Key skills needed: Set Similarity

1) The easiest way to teach this is by writing out each set, but I will show it to you in 2 ways.

2) The first way is by writing everything out.

Set Q = 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36

Set Z = 3,6,9,12,15,18,21,24,27,30,33,36

(I only wrote out Set Z to 36 since Set Q ends at 36. Anything greater than 36 won't even be there in Set Q, so no point in writing more.

3) The next way is with using a simple pattern.

Set Q contains all even numbers from 4 to 36

Set Z contains all multiples of 3 (no limits)

Therefore, the numbers that are in both sets would be:

The even multiples of 3 that are bigger than 4 and less than 36.

4) Those even multiples of 3 would be  ---> 6,12,18,24,30,36

Both show that D is the answer, so I would say D as the answer very confidently.

Hope you understood and have a nice day!! :D

Answer:

y = 1/2x - 11

Step-by-step explanation:

Step one convert to y = mx+b form

6x + 3y =15

Isolate Y

3y = -6x + 15

Divde the 3 among the other numbers

y = -2x + 5

That is the equation

perpindiculr to that is y = 1/2x + 5 but solve for the points and plug in

the points are (12,-5)

So -5 = 1/2 (12) +b

-5 =  6 + b

Solve for B

-5 - 6 = b

b = -11

FINAL EQUATION

y = 1/2x - 11

Answer:

a side of a square with a 18cm ´perimeter would be 4.5cm

area would be 20.25

Step-by-step explanation:

You can calculate the area of a square by using both the length of one side and its perimeter. Divide the perimeter length by 4 to get the measurement for each side of the square.

Answer:

360 seconds

Step-by-step explanation:

15 * 24 =360

Answer:

minutes lost per day 360/60=6

hope that helps

Sorry if its wrong

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

Answer:

Yes, There is significant difference.

Step-by-step explanation:

Null Hypothesis , H0 : Mean income = 15000

Alternate Hypothesis , H1 : Mean income  ≠  15000

t = (x - u) / ( s / √n)

x = sample mean = 14500 here, u = population mean = 15000 here ,             s = standard deviation =  975 here  , n = sample size

t = (14500 - 15000) / (975 / √169)

-500 / 75 = - 6.66

As  calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠  15000'

Answer:

6% are Adaline's mythical creatures

Step-by-step explanation:

Its you the number of mythical creatures Adaline's has, Hope this works!!

Answer:

3.3

Step-by-step explanation:

I think so I don't know

Answer:

x=4, y=5

Step-by-step explanation:

You obtain an answer by subtracting the second equation from the first.

Step-by-step explanation:

2x-3y=7-----------(1)

multiply by 2 in first equation

4x-6y=14------------ (2)

4x-4y=4---------------(3)

then, subtracting eqn (3) from (1)

4x-6y=14

4x-4y=4

sin change - + -

_________

-2x=10

x=-5

putting value of x on eqn (3)

4x-4y=4

-20-4y=4

-4y=24

y=-6

Answer:

D

Step-by-step explanation:

Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.

Answer:x+2=y

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step One: Cancel 3x and 6x.

6x/3x = 2

Step Two: Factor x^2 + 5x + 6

(x+3)(x + 2)

Step Three: Factor x^2 + 9x + 14

(x + 2)(x +7)

Answer

2*(x + 3) / (x + 7)    The (x + 2 )s cancel out

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271

Hey there!

Here is a graph of the points:

A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.

A line of best fit is a line that goes evenly through the points, or as best as it could.

Answer:

w = -10

Step-by-step explanation:

[tex]w+4=(-6)\\\\w+4=-6\\\\w+4-4=-6-4\\\\\boxed{w=-10}[/tex]

Hope this helps.

Complete question :

Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?

Corresponding chart for the problem is attached below.

Answer:

The 0.2 in the expression could be changed to 2.

Step-by-step explanation:

40% of 70

Directly working this out, we obtain :

0.4 * 70 = 28

From the table :

To obtain same from the columns, 0.2 is adjusted to 2.

Hence, 2 * 14 = 28

Answer:

Step-by-step explanation:

A

Answer:

First one

Step-by-step explanation:

If you simplify the first answer, the numbers in the answer will not repeat

Answer:

12.5H

Step-by-step explanation:

Number of hours worked per day:

Tuesday = 3 hours

Wednesday =5 hours

Thursday = 4.5 hours

H = hourly pay rate

Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H

= 3H + 5H + 4.5H

= 12.5H

The expression which shows the total amount she earned = 12.5H

Answer:  Choice A.   [tex]x \le -7[/tex]

=====================================================

Explanation:

Every point in the shaded region has an x coordinate that is equal to -7 or smaller.

Example points include

The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.

Answer:

Step-by-step explanation:

e

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

Answer: C) Large objects clumped together due to gravity to form larger objects.

Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.

Answer:

Large objects clumped together due to gravity to form larger objects.

Explanation:

All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.