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Answer:

108.9

Step-by-step explanation:

30.3 + 40.8= 71.1

180 - 71.1= 108.9

The measure of unknown ∠m is equal to 108.9°.

According to the triangle inequality theorem the sum of the length of any two sides will always be greater than the third side. Mathematically -

(a + b) > c

Given is a triangle with its angle measurements.

We know that the sum of the angles of a triangle is equal to 180 degrees.

Therefore, we can write -

∠m + 30.3° + 40.8° = 180°

∠m = 180° - 71.1°

∠m = 108.9°

Therefore, the measure of unknown ∠m is equal to 108.9°.

To solve more questions on triangles, visit the link below-

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1/8k + 80 = 1/2k + 120

Step 1: Subtract 1/2k from both sides.

1/8k + 80 - 1/2k = 1/2k + 120 - 1/2k

-3/8k + 80 = 120

Step 2: Subtract 80 from both sides.

-3/8k + 80 - 80 = 120 - 80

-3/8k = 40

Step 3: Multiply both sides by 8/(-3).

(8/-3) x (-3/8k) = (8/-3) x (40)

Answer: k = -320/3 or −106.667

Answer:

Step-by-step explanation:

in this problem we are looking at an alternative expression to the given expression for the total earning which is

Given data

T=11.50x + 125 + 11.50y + 153

let us collect like terms we have

T=11.50x + 11.50y + 153+ 125

T=11.50x + 11.50y +278

we can factor out 11.5 since it is common

T=11.50(x +y) + 278

The alternative expression the girls could use is

T=11.50(x +y) + 278

Answer:

No Solutions

Step-by-step explanation:

Equation:

2s - 8 = 2(s - 2)

2s - 8 = 2s - 4

2s = 2s + 4

No Solutions

Answer:

1.25 meters a second

Step-by-step explanation:

Calculator

Answer:

Area of rectangular field = 12750 square yards

Width = 150 feet

<< Find the length of the field in yards. >>

Your conversion factor: 3 feet = 1 yard

Width = 150 feet = 150/3 = 50 yards

Therefore,

Area = 12750 = L(50)

where

L = length of field = 12750/50

L = 255 yards

<< What is the length of the field in feet? >>

L = 255 yards * 3 feet/yard

L = 765 feet

< .What is the area of the field in square feet? >>

Since there are 3 feet in 1 yard, then there are 9 sq ft in 1 sq yard. Therefore,12750 sq yards * 9 sq feet/sq yd = 114,750 sq feet

Step-by-step explanation:

Answer:

$153

Step-by-step explanation:

180 * 0.85 = 153

Answer:

100

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

-15=-30x

-15/-30=0.5

Answer:

x = 10.2

Step-by-step explanation:

10.2 × 10 = 102...

Answer:

x+10=102

Step-by-step explanation:

the word "increased" signifies addition because of the value getting larger. the word "is" indicates an equal sign. therefore, the equation is x+10=102

Answer: Melendez

Step-by-step explanation:

If you divide the amount of water each family uses by the ammountof people in the family, melendez has the lowest per person.

Answer:

what do you not understand

Answer:

The smallest angle is 6x-6 which is 36°

Answer:

H. Decreasing a y-intercept moves the graph down

Answer:

[tex]a_{n}[/tex] = 4n - 2

Step-by-step explanation:

There is a common difference d between consecutive terms in the sequence, that is

6 - 2 = 10 - 6 = 14 - 10 = 18 - 14 = 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = 4 , thus

[tex]a_{n}[/tex] = 2 + 4(n - 1) = 2 + 4n - 4 = 4n - 2

Answer:

x = 92/11

Step-by-step explanation:

10x + 1 + 12x - 5 = 180

*group the like terms*

(10x + 12x) + (1-5) = 180

*simplify*

22x - 4 = 180

*add four on both sides to cancel out -4*

+4. +4

*simplify*

22x = 184

*divide both sides by 22 to cancel out the quantity and solve for x*

÷22 ÷22

*simplify*

x = 92/11

Answer:

x = 92/11, x = 8.36 repeating the .36, or x = 8 4/11

Step-by-step explanation:

Answer:

3- (-5) + -2.

Step-by-step explanation:

Anything plus a negative number will either make that negative number go closer to zero, or turn into a positive number.

Answer:

Answer is -24/25.

Step-by-step explanation:

Got it right on egde2020

The value of cos (t) is - (24/25), as per  the relation between the sine and cosine of an angle.

For any angle 'Ф',  the relation between the sine and cosine of an angle is:

sin² (Ф) + cos² (Ф) = 1, when 0 < Ф < (π/2)

Given equation,

sin (t) = (7/25), for (π/2) < t < π

Here, 't' is in the second quadrant.

Therefore, sine is positive here.

However, cosine is negative there.

Therefore, the value of cos (t) is

= - √[1 - sin² (t)]

= - √[1 - (7/25)²]

= - √[1 - (49/625)]

= - √(576/625)

= - (24/25)

Learn about the relation between the sine and cosine of an angle here: https://brainly.com/question/8339068

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Answer:

no solution

Step-by-step explanation:

if you solve for x then you get x-x which leads you to -6=0 that is no true and undefined

x-6=x

answer

x=6

why? pag nilipag mo yung negative 6 sa kanan . magiging positive sign na sya

Answer:

There are total 50 teachers, 30% are male, 70% are female

Step-by-step explanation:

There is no specific question, but I just put the percentage of each gender teacher. Hope this is the question you were trying to find!

Answer:

First Option (A) -22

Step-by-step explanation:

Answer:

a) 22

Step-by-step explanation:

just took it on edge

second problem is c!

Answer:

After 5 hours.

35 bacteria cells.

Step-by-step explanation:

Andy’s population is represented by [tex]B=6x+5.[/tex]

Samantha’s population is represented by [tex]B=2^x+3[/tex]

Where B represents the total population given the number of hours x.

We want to find at what hour will their population be the same. We are told to use graphing technology.

Graphing them, we will get the graphs below.

Graphically, their population will be the same where the two graphs intersect.

So, we can see that they intersect at (5, 35).

Therefore, after 5 hours, the total number of bacteria cells for both experiments will be the same.

And the total number of bacteria at that time will be 35 bacteria cell.

Answer:

t = 17

Step-by-step explanation:

Plug in 46 for H(t) into the above equation and solve for t.

46 = 3t - 5 (add 5 to both sides)

51 = 3t (divide both sides by 3 to isolate t)

17 = t or t = 17

Answer:

B

Step-by-step explanation:

they are real numbers that are greater than 0 but less than 4

Answer:

Things like:

2/9 + 7/9  = 9/9 = 1

3/4 + 1/4 = 4/4 = 1

If the number is the same for the numerator and denominator it adds up to 1.

More examples:

6/10 + 4/10 = 10/10 = 1

9/15 + 6/15 = 15/15 = 1

Answer:

27 days

Step-by-step explanation:

I put a picture of the graph for you.