The medians of are , , and . They meet at a single point .
(In other words, is the centroid of .)
Suppose , , and .
Find the following lengths.
Note that the figure is not drawn to scale.

Let ∠1 be x

Let ∠2 be x+84

[tex]\rm\:x+x+84= 180 \degree[/tex]

[tex] \rm \: 2x + 84 = 180[/tex]

[tex] \rm \: 2x = 180 - 84[/tex]

[tex] \rm \: 2x = 96[/tex]

[tex]\boxed{ \bf \: x=48 \degree}[/tex]

[tex]\begin{gathered} \sf \: ∠1 = x \\ \sf \: = 48 \degree\end{gathered}[/tex]

[tex]\begin{gathered} \sf \: ∠2 = x+84 \\ \sf = \: 48+84 \\ \sf∠2 = 132 \degree\end{gathered}[/tex]

Answer:

48°

132°

Step-by-step explanation:

Let the measure of one angle be x°

So, Measure of supplementary angle = (x + 84)°

x° +(x +84)° = 180°

(2x + 84)° = 180°

2x + 84 = 180

2x = 96

x = 96/2

x = 48°

(x + 84)° = 48 + 84 = 132°

Answer:

2000 - 150 + 20=

1,870

Answer:

12.60 x 0.075 = $0.945

Total cost:- 12.60 plus 0.945 = $13.55

Step-by-step explanation:

Answer:

60 divided by 2 = 30

We half it because Angle E halfs Angle D

Step-by-step explanation:

As with all quadrilaterals, the sum of the interior angles of a rhombus is 360 degrees; as with a parallelogram, the angles of opposite pairs of vertices are equal, and the sum of the angles of two adjacent vertices is 180 degrees.

Answer:

15

Step-by-step explanation:

Given the following question:

ABC = 2, 4, and 5
DEF = 6, and 12

We know the two triangles are similar, so we can use the given information to find the hypotenuse for the second triangle.

[tex]2\times3=6[/tex]
[tex]4\times3=12[/tex]
[tex]5\times3=15[/tex]

DEF is three times larger than ABC

? = 15

Hope this helps.

Answer:

58

Step-by-step explanation:

(360 - 122 -122)/2= 58

please brainliest

Answer:

58°

Step-by-step explanation:

well first we know that the total degrees all the way around are 360° so the total number must add up to 360°.

vertical angles are the angles across from each other when two lines intersect and we know that vertical angles are congruent (the same) so 122° equals d. Next we look at the angles e and c. It might seem difficult but we remember that vertical angles are congruent so e and c are equal. the sum the first angle(122°) and d(which we already found equals 122°) equals 122+122=244. we learned at the beginning that all the angles must be 360 so 360-244=116. 116 is the sum of e and c but we know e and c are equal so 116/2=58. e=58 and c=58 so there is our answer

d=122°

e=58°

c=58°

I hope this helps!

Answer:

33.9219 (Rounded: 33.9)

Step-by-step explanation:

To find Leg  B or x we will use cos(a) = b/c

Therefore we have a = 32degrees and c = 40

So

Cos(32) = b/40

0.848 = b/40

b = 0.848 * 40

b = 33.9219

Answer:

c. 18%

e. 46%

Step-by-step explanation:

c. Since the time given is 5.9, it is easiest to just calculate for every 0.1 second. So, there are 50 0.1 seconds in 5 seconds. If you divide 100/50 you get 2. So that is your percentage for each 0.1 seconds. It says less than 5.9 so theres 10 0.1 seconds. If you multiply 9x2 you get 18%.

e. based on 2% for every 0.1 seconds, there are 5 0.1 seconds between 5 and 5.5 and 18 0.1 seconds between 7.2 ad 10. 23x2= 46%

I would like to note that this question is incorrectly asked as it says less than which means the time given wouldnt count. It would have made much more sense to say 5.9 minutes or less.

Im pretty sure this is the right answer but it could be c. 20% and e. 50%

Hope this helps!

Suppose the time it takes Lizzie to eat an apple is uniformly distributed:

a. The distribution of X is Uniform, denoted as X ~ U(5, 10).

b. To find the probability that it takes Lizzie more than 11 minutes to finish the next apple, find the area of the distribution curve to the right of 11. Since the distribution is uniform, the probability is the ratio of the length of the interval [11, 10] to the total length of the interval [5, 10].

Probability (X > 11) = (10 - 11) / (10 - 5) = -1 / 5 = 0 (rounded to 4 decimal places)

c. Probability (X < 5.9) = (5.9 - 5) / (10 - 5) = 0.18

d. Probability (5.5 < X < 7.2) = (7.2 - 5.5) / (10 - 5) = 0.34

e. To find the probability that it takes Lizzie fewer than 5.5 minutes or more than 7.2 minutes to finish the next apple, find the sum of the probabilities of these two disjoint events:

Probability (X < 5.5 or X > 7.2) = Probability (X < 5.5) + Probability (X > 7.2)

= (5.5 - 5) / (10 - 5) + (10 - 7.2) / (10 - 5)

= 0.1 + 0.36

= 0.46

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Answer:

3.33lbs. repeating?

Step-by-step explanation:

I think it would just be 10/3 and be 3.33333333 and so on. (im just taking a guess)

Answer: See below

Step-by-step explanation:

Event 1:

When the aces and twos (8 cards in total) are removed:
52 - 8 = 44 total cards

Since 2 cards (an ace and a two) were removed there are a total of 11 hearts

Probability: 11/44

P = 1/4 or 25%

Event 2:

Since 4 cards (2 aces and 2 two's) were removed there are a total of 22 blacks

Probability: 22/44

P = 1/2 or 50%

Event 3:

There are 12 face cards in the deck

Probability: 12/44

P = 3/11 or 27.27%

Event 4:

Probability of a heart + Probability of not a heart = 1 --> 100%

P(not a heart) = 1 - P(heart)

P = 1 - 1/4

P = 3/4 or 75%

Answer: 5

Step-by-step explanation:

V = lwh = 20 * 12 * ? = 1200

240 * ? = 1200

? = 5

Here is your answer

I hope this answer is ok

Answer:

Carlo is 12 and Daniel is 16.

Step-by-step explanation:

There is probably a formula for this but I just used guess and check. Im assuming that carlo is the 3 and daniel is the 5.

Step-by-step explanation:

area of ∆ = .5*b*h

b= x+5

h= x-5/2

let's do (x+5) * (x-5/2)

x^2+5x-5/2x-25/2

x^2+5/2x-25/2

area = .5x^2+5/4x-25/4

The polynomial expression that represents the area of wall space covered by the display case is (1/2)x² + (5/4)x - 25/4.

A polynomial is a mathematical expression made up of two or more algebraic terms that have been added, subtracted, or multiplied (no division). Polynomial expressions generally comprise at least one variable, as well as constants and non-negative exponents.

The area of a triangle is calculated using the formula: (1/2)*base*height.

We find the area of the triangle-shaped display case. We can see the base of this triangle is x+5 and its height is x - 5/2.

∴ Area of the display case = (1/2)*(x+5)*(x-5/2)

or, area = (1/2)*(x+5)*(2x-5)/2

or, area = (1/4)(2x² + 5x - 25)

or, area = (1/2)x² + (5/4)x - 25/4.

∴ The polynomial expression that represents the area of wall space covered by the display case is (1/2)x² + (5/4)x - 25/4.

Learn more about polynomials and areas of triangles at

https://brainly.com/question/2833285

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Answer:16feet

Step-by-step explanation:

The explanation is in the attached file

Answer:

y = -2

Step-by-step explanation:

The midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

From inspection, curve has a maximum at y = 1 and a minimum at y = -5

The midline between these is [tex]y=\frac{1-5}{2}=-2[/tex]

So the equation for the midline of this graph is y = -2  (shown in red on the attached graph)

Perpendicular lines have slope negative reciprocal to each other .

Equation of line in point slope form

[tex]\\ \rm\Rrightarrow y-y_1=m(x-x_1)[/tex]

[tex]\\ \rm\Rrightarrow y-11=\infty(x+8)[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{y-11}{\infty}=x+8[/tex]

[tex]\\ \rm\Rrightarrow x+8=0[/tex]

[tex]\\ \rm\Rrightarrow x=-8[/tex]

Some formats of line

[tex]\boxed{\begin{array}{c|c}\boxed{\bf Form} &\boxed{\bf Equation} \\ \sf Slope\: intercept\:form &\sf y=mx+b \\ \sf Intercept\:form &\sf \dfrac{x}{a}+\dfrac{y}{b}=1\\ \sf Normal\:form &\sf xcos\omega+ysin\omega=p \\ \sf Two\: point\:form &\sf y-y_1=\left(\dfrac{y_2-y_1}{x_2-x_1}\right)(x-x_1)\\ \sf Point\:slope\:form &\sf y-y_1=m(x-x_1) \\ \sf Standard\:form &\sf Ax+By+C=0 \end{array}}[/tex]

Answer:

40

Step-by-step explanation:

[tex]15 \times 2 \frac { 2 } { 3 }\\= 15\times \left(\frac{6+2}{3}\right) \\= 15\times \left(\frac{8}{3}\right) \\= \frac{15\times 8}{3} \\= \frac{120}{3} \\\Longrightarrow \boxed{40}[/tex]

Hope it helps ⚜

Answer:

a) -0.6

b) 8.1

c) -6.5

d) 5.2¯9. The little line on top of the 9 is "bar notation".

Step-by-step explanation:

Hope this helps =)

Answer:

25.6

Step-by-step explanation:

Add 6.4 to all the sides and add them all together-

6.4+6.4+6.4+6.4 = 25.6

Answer:

1/12

Step-by-step explanation:

Since these are dependent events, the fractions will vary on the second trial.

First trial 3 green marbles out of a total of 9 marbles. That's a 3/9 chances of the marble being green.

Second trial if you already pulled out a green. 2 green marbles are left with 6 other colors. That makes it a 2/8 odds.

Multiply the fractions and you get 6/72, which simplifies to 1/12.

Answer:

3/9

Step-by-step explanation:

Simply add up the marbles the total being 9 and the 3 green marbles.  

Answer:

What are you referring to?

Step-by-step explanation:

Answer:

e=26

Step-by-step explanation:

e= 8 + 18 = 26

The answer is:   " x – (x + 8) " .

{Note:  The simplified form is:  " -8 ."}.
_______
Step-by-step explanation:
We are given:  

→  " A number decreased by the sum of the number and eight."
_______

Let "x" represent the number referred to as "a number."

_______

"{A number} decreased by {the sum of the (number and eight).}"  ;

        ↑                 ↑                                       ↑

       "x"              "(minus)"                       " (x + 8) "          ;
_______

So; we can write this as:
_______
   →    "   x – (x + 8) "  ;
_______

Edit—Addendum:

{Now, if are then asked to simply this expression}:
     →    "   x – (x + 8) "  ;
_______

Then: Rewrite as:
     →    "   x – 1(x + 8) "  ;
_______
Take note of the distributive property of multiplication:
      →  " a(b + c) = ab + ac " ;

_______
Likewise:
     →    "   x – 1(x + 8) "  ;

→ Note the:  " -1(x + 8) ";
_______

 →   -1(x + 8) = (-1*x) + (-1*8) ;

                    = (-1x) + (-8) ;
                    = (-1x – 8) ;
Now, bring down the " ⁺x " :
         →  " x – 1x – 8 " ;  
  Rewrite as:
         →  " 1x – 1x – 8 " ;
      Simplify:
     →  " 1x – 1x – 8 " ;

                      = " (1x – 1x) – 8 " ;

                       = " (0 – 8) " ;

                       =  " -8 " ; which is the simplified form of the
                                          given algebraic expression.
_______

Hope this explanation is helpful to you!
________

Hi!

I can help you with joy! :)

First of all, "the sum of" means we add.

Let the number be r.

So, we add r and 8:

r+8

Now, "decreased" means we subtract, so we subtract

r-(r+8) (Final Answer)

Simplified Form:

r-(r+8)

r-r+8

[tex]\fbox{8}\checkmark[/tex]

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts.

~Misty~

Answer:

6/16 and if you want the fraction simplified it would be 3/8. As a percentage 37.5%.

Step-by-step explanation:

Answer:

$321.6915

Step-by-step explanation:

original price= $399.00

20% off $399 is $319.2

$319.2-$15.00=$304.2

0.75% of 304.2 is 2.2815

5% of 304.2 is 15.21+2.2815=17.4915+304.2=321.6915

hope this helps

A percentage is a way to describe a part of a whole. The final cost of the television is $321.69.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that a 55" flat screen television is regularly priced at $399.00. Now, It is on sale for 20% off. Therefore, the cost of the flat screen is,

Cost after discount = $399 - 20% of $399

= $399 - 0.20($399)

= $319.2

The cost after the application of the coupon of $15.00 off on any purchase over $100.00. Therefore, the new cost will be,

New Cost = $319.20 - $15.00

                 = $304.2

Since the tax on the cost is 5.75%, therefore, the cost after the application of the tax is,

Cost after the tax = $304.2 + 5.75% of $304.2

                             = $304.2 + 0.00575($304.2)

                             = $321.69

Hence, the final cost of the television is $321.69.

Learn more about Percentages:

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Answer:

D) 3 1/3 hours

Step-by-step explanation:

10÷3=3.3=3 1/3

1) 4x + 5y

→ 4*6 + 5*1

→ 24 +5 = 29

2) 2x (20-y)

→ 2*6 (20-1)

→ 12 *19 = 228

3) x ÷ 3 + y

→ 6 ÷ 3 + 1

→ 2 +1 = 3

4) 4y ÷ 2 + (8x + 10)

→ 4*1 ÷ 2 +(8*6+10)

→ 2 + (48+10)

→ 2 + 58

→ 60

5 ) 5. Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts for her family, how much money does she have left?

Money made each weekend = $34

Money made in 3 weekend = $34*3 =$102

Money spent = $50

Therefore ,

→Money left = Money made in 3 weekends - Money spent

→ Money left = $102 - $50 = $52

6.Carlos solved 20-(2x6) + 8 divide 4 = 29. Is this the correct answer? ( In attachment it's written 29 and not 28 .)

Given equation is ,

→ 20 - (2 × 6) + 8 ÷ 4 = 29

Solve inside the brackets ,

→ 20 - 12 + 8 ÷ 4

Perform division ,

→ 20 -12 + 2

Perform addition ,

→ 22 - 12

Perform subtraction,

→ 10

No , he is wrong the answer should have been 10 but he got 29 .

I hope this helps .

Answer:

1. Correct

2. Correct

3. Correct

4. Correct

5. Incorrect

6. Correct

7. Incorrect

8. Incorrect

9. Correct

10. Correct

11. Incorrect

Step-by-step explanation: