Two angles of a triangle have the same measure and the third one is 30 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer:

Step-by-step explanation:

          Steps                                     Property

x(1 + y) + y(2 + x)                           Given

x + xy + 2y + xy                            Distributive property

x + xy + xy + 2y                            Commutative property of addition

                                                     [a + b = b + a]

x + (xy + xy) + 2y                           Associative property of addition

                                                      [(a + b) + c = a + (b + c)]

x + 2xy + 2y                                  Combine like terms

Explanation:

There are 5 slices that aren't blue out of 6 total

The probability of landing on a non-blue slice is 5/6

Answer:

3x°

Step-by-step explanation:

50°+2x°+3x°=180°

50°+5x°=180°

collect the like terms

5x°=180°-50°

5x°=130°

x°=130°÷5°

x°=26°

2x°=2×26°=52°

3x=3×26°=78°

Answer:

(4,5)

Step-by-step explanation:

Hehe Hope it helped yu.

The reflection across the x-axis is an illustration of transformation, and the coordinates of the transformed point is (-4,-5)

The point is given as:

Point = (-4,5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

(x,y) -> (-4,-5)

Hence, the coordinates of the transformed point is (-4,-5)

Read more about transformation at:

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9514 1404 393

Answer:

  4 + 4 = 8

  5 + 5 = 10

Step-by-step explanation:

If we assume Mr Noris restricted himself to integer facts, we require both ...

  2n > 6

  n < 6

Dividing the first inequality by 2 gives ...

  n > 3

Writing the two inequalities as a compound inequality, we have ...

  3 < n < 6

There are two integers that satisfy this requirement:

  n = 4 or n = 5

So, the doubles fact could have been either of ...

  4 + 4 = 8

  5 + 5 = 10

Step-by-step explanation:

Acceleration= (final velocity - initial velocity)/ time

= v-u/t

v = 20m/s

u = 5m/s

t= 30s

= 20-5/30

= 15/30

= 0.5ms^-2

Answer:

Step-by-step explanation:

We are told that the perimeter is 48 = 2L + 2W.  This reduces to

24 = L + W.  Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a)  If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b)  If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c)  If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm

Answer:

1c

 [tex]n = 33[/tex]

1d

 [tex]n = 19[/tex]

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  [tex]p = 0.15[/tex]

     The mean is  [tex]\mu = 5[/tex]

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     [tex]\mu = n* p[/tex]

=>  [tex]5= n * 0.15[/tex]

=>  [tex]n = 33[/tex]

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      [tex]P( X \ge 1) = 1 - P( X < 1 ) > 0.95[/tex]

=>    [tex]P( X \ge 1) = 1 - P( X =0 ) > 0.95[/tex]

=>    [tex]P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95[/tex]

=>    [tex] 1 - [1  *  1*  (0.85)^{n}] > 0.95[/tex]

=>    [tex]  [(0.85)^{n}] > 0.05[/tex]

taking natural  log of both sides

[tex]n = \frac{ln(0.05)}{ln(0.85)}[/tex]

=>  [tex]n = 19[/tex]

Answer:

q=2

Step-by-step explanation:

I am not sure but it can't be 0 and its says higher than 1

Answer:

q=2

Step-by-step explanation:

Step-by-step explanation:

x= the extra minutes

y= the total cost

General: y=40+.15x

Western: y=45+.10x

I hope this helps!

Answer:

f(x) = 6x - 4

Step-by-step explanation:

PLEASE MARK AS BRAINLIEST!

Answer:

0.576

Step-by-step explanation:

First, you would change the percent to a decimal which is 0.0008

Second, you would multiply that by 720 (0.0008 x 720)

Third you would find your answer by calculating it, which is 0.576.

Another way

0.0008/ 100 ×  a/720 ≡ 0.576

The value of 0.08% of 720 is 0.576.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

0.08% of 720

= 0.08/100 x 720

= 0.576

Thus,

0.576 is the value of 0.08% of 720.

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Answer:

X = 30°, y = 15° and z = 150°.

Reason: Look below.

Step-by-step explanation:

Hey there!

When we look into the figure, we find that;

For x:

x+ 2x + 90° = 180° {Being linear pair}

or, 3x = 180°-90°

or, 3x = 90°

or, x= 90°/3

Therefore, X = 30°.

For y :

2y = x = 30° {Alternate angles are equal}

or, 2y = 30°

y = 30°/2

Therefore, y = 15°

For z:

2y + z = 180° { Being linear pair}

or, 30°+z = 180°

or, z = 180°-30°

or, z = 150°

Therefore, z = 150°.

Hope it helps...

Answer:

$4.40

Step-by-step explanation:

you do 24=5x-2 so first you do 24-2 and u get 22 so then divide that by 5 since they each pay 5. then u end up with 4 dollars and 40 cents

Answer:

[tex]x^{6}[/tex]/[tex]z^{-1}[/tex]

Step-by-step explanation:

Answer:

the answer is 43. Plz mark branliest :-)

Step-by-step explanation:

Answer:

236:241

Step-by-step explanation:

how i got this is dividing each by a number that can fit into both (i did 2)

i hope this is correct

Answer:

y=1/2x+5

Step-by-step explanation:

Answer:

y=1/2x+5

Step-by-step explanation:

slope intercept form is y=mx+b

m= slope

b= y-intercept

Answer:

<PKA and <IKR

Step-by-step explanation:

They are across from each other!

Answer:

Number 16 is D & 15 is D

Step-by-step explanation:

Answer:

14/2=u

7=u

the value of U is 7

Answer:

r = 8,9,10

Step-by-step explanation:

The given inequality is :

​5r≤6r−8​  ...(1)

We need to find the value of r.

Subtracting 5r to both sides of the inequality .

​5r-5r≤6r-5r−8

0≤r−8

r ≥ 8

Hence, the values of r are 8,9,10.

Answer:

The answer is r 8,9,10

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

A. Both factors are negative, so the product will be positive

Step-by-step explanation:

Remember negative times negative will always be positive

And use the process of elimination:

You know that negative times negative is not negative so that eliminates B.

And there are two negatives in the equation not one positive and one negative so it is not choice C.

The same concept applies is for choice D.

Hope this helps!

Answer:

13

Step-by-step explanation:

1. Distribute each term in the first binomial to each term in the second binomial, FOIL (first, outer, inner, last)

(3 - 2i) (3 + 2i)

9 + 6i - 6i - [tex]4i^{2}[/tex]

2. Simplify

9 - [tex]4i^{2}[/tex]

3. Solve for i. [tex]i^{2}[/tex] = -1

9 - 4 (-1)

9 + 4 = 13

hope this helps!

Answer:

A) Multiply 8 and 9

Step-by-step explanation:

to find common denominators multiply the two denominators

Answer:

a

Step-by-step explanation:

Answer:

I believe the answer the 3rd option because a cylinder is a closed shape and had two parallel lines

Step-by-step explanation:

Answer:

circle

Step-by-step explanation:

took the test :) and cylinder bases are circles so!

Answer:

A is the direct variation equation

Answer:

put a point a and extend to point b

Step-by-step explanation:

Answer: put the point on the line in two spots and create a circle. at the top two points draw a line and you have a parallel. put a point in the center then draw a line down.

Step-by-step explanation: