find the exact length of side a.​

Answer:

EX = 51

Step-by-step explanation:

The 3 intersecting lines in the triangle are medians.

The distance from the vertex to the centroid is twice the distance from the centroid to the midpoint, that is

EJ = 2 JX = 2 × 17 = 34 , then

EX = EJ + JX = 34 + 17 = 51

Answer:

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Step-by-step explanation:

The ratios are 5x + 9x + 6x

5x + 6x = 11x

Caroline and Sarah get a total of 44 pounds. They don't get 44 pounds each.

11x = 44            Divide by 11

x = 44/11

x = 4

Colin gets 9x

x = 4

9*4 = 36

Colin gets 35 pounds.

Caroline gets 4*5 = 20 pounds

Colin gets 9 * 4     = 36 pounds

Sarah gets 6*4      = 24 pounds.

Caroline and Sarah get 20 + 24 = 44

Step-by-step explanation:

I don't know, if I see the full picture. I see only 2 diagrams.

since the line of reflection is y=0 (= the x-axis), it can be only the upper diagram.

and something might be wrong with your translation description.

but as I said, given these two choices, due to the line of reflection, it can be only the upper diagram.

Answer:

13. 100* : 14. 111* : 15. 125* : 16. 47*

Step-by-step explanation:

13. Same side interior angles add to 180.

14. Alternate interior angles equal each other.

15. Alternate interior angles equal each other.

16. Opposite angles equal each other.

Answer:

Step-by-step explanation:

Answer:

1050 people

Step-by-step explanation:

if there are x people at a conference

then 40% of x = 420

40% can be written as 40/100 --> 4/10 --> 2/5

2/5 * x = 420

x = 420 * 5/2

x = 1050

Answer:

I can't help but I hope you succeed

Answer:

7.2

Step-by-step explanation:

5y = 5 *7.2 = 36

36 ÷ 6 = 6

So, y = 7.2

Answer:

C.

Step-by-step explanation:

+4 in the function means the graph crosses the y axis at +4

Answer:

C)

Step-by-step explanation:

See the figure below. I made a table using a different color for each point. I plotted all points in all graphs. Clearly, graph C) is the graph of the given function.

Answer:

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2

Answer:

[see below]

Step-by-step explanation:

Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]

[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]

Other expressions could be:

[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]

[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]

Hope this helps.

Answer:

Option D

Step-by-step explanation:

Alternate Interior angles are angles that are on the opposite sides of the transversal line (which is the line that cuts across the two parallel lines) and are on the inside of the two parallel lines which in this case is Option D.

Answer:

√124

Step-by-step explanation:

Using the Pythagorean theorem, We got: x^2 + (√101)^2 = 15^2

x^2 + (√101)^2 = 15^2

x^2 = 15^2 -  (√101)^2

x^2 = 225 - 101

x^2 = 124

x = √124

The answer is √124

Answer:

[2 , ∞)  

Step-by-step explanation:

y = sqrt( x-2)

The domain is the values that x can take

Since we have a square root

Domain: [2 , ∞)  since the square root must be greater than or equal to zero

The range is the values that y can take

The square root starts at 0 and increases

Range [0,∞)

The inverse swaps the domain and range

Range: [2 , ∞)  

Domain [0,∞)

Answer: it’s A on here but check which is A on your test

Step-by-step explanation:

Answer:

16 direct

17 indirect

Step-by-step explanation:

16.

If it is a direct variation

y/x = constant

4/-2  -2

-8/4 = -2

-12/6 = -2

This is a direct variation

17.

y/x = -1/2 /-2 = 1/4

y/x = -1/-1 = 1

This is not a direct variation

If it is an indirect variation then

yx = constant

-1/2 * -2 = 1

-1*-1 =1

3 * 1/3 =1

This is an indirect variation

Answer:

(4,4)

y = 4

x = 4

Step-by-step explanation:

First we need to input y = 1/2x + 2 into 4x - 2y = 8.

4x - 2 (1/2x + 2) = 8 <-- Then solve

4x - 1x + -4 = 8

3x - 4 = 8

    +4   +4

---------------------

3x    =    12

3             3

x = 4

Now we need to use x and apply it to find y.

y = 1/2x + 2

y = 1/2(4) + 2

y = 2 + 2

y = 4

Now to graph go on the x axis (horizontal axis) and go to 4, then up 4 on the y axis.

You need to graph the point (4,4).

I hope this helps!

Answer:

see graph  (4,4)

to manually graph just pick any two values for X in the first equation and calculate the corresponding Y value ... put a "dot" (a point on the graph)

do for both points , and draw al LINE between them...

repeat fore the second equation... the "solution" is where the two lines cross

Step-by-step explanation:

Answer:

C) 1 fluid Once

Step-by-step explanation:

Answer:

pls use calculater

Step-by-step explanation:

because i also dont know now what shall i do so its a good suggestion for you i hope

Answer:

4

Step-by-step explanation:

Four people will play basketball, so 10 - 4 = 6.

Half as many people will play baseball, and half of 4 is 2, so 6 -2 = 4.

The rest will play soccer, which is 4.

Answer:

x = 8

x = -10

Step-by-step explanation:

Step-by-step explanation:

Let S be the sample space

S={HH, HT, TH, TT}

n(S)= 4

A: both the coins with some place

B: both the coins with different place

C:at least one tail

D:at the most one head

1) A={TT,HH}

n(A)=2

P(G)= n(A)/n(S)

= 2/4

= 1/2

2) B ={HT, TH}

n(B) = 2

P(B) = n(B)/n(S)

= 2/4

= 1/2

3) C= {HT, TH, TT}

n(C)=3

P(C) = n(C)/n(S)

= 3/4

4). D={HT, TH}

n(D) = 2

P(D) = n(D)/n(S)

= 2/4

=1/2

32 km/h

Step-by-step explanation:

Davit's Train travels at 108 km/h

Mila's train travels at 140 km/h

140-108=32

Therefore the difference in their average speed is 32 km/h

Answer:

1 meter

Step-by-step explanation:

Previous spot of the eagle = 9 meters below him

Present spot of the eagle = 8 meters below him

What is the difference from earlier to now?

Diffetence in the spotting = Earlier position - present position

= 9 meters - 8 meters

= 1 meter

Answer:

B

Step-by-step explanation:

A=(3*sqrt(3)*a^2)/2

A=(3*sqrt(3)*400)/2=1038

Answer:

B.  1,038 in.2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.

If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.

Hence the answer is FALSE.

Answer:

1/18 pound each

Step-by-step explanation:

Take the number of pounds and divide by 12 people

2/3 ÷12

Copy dot flip

2/3 * 1/12

Rewriting

2/12 * 1/3

1/6 * 1/3

1/18 pound each

Answer:

Each person will get 1/18 pounds of spice from the bag

Step-by-step explanation:

Divide 2/3 by 12:

Make 12 a fraction by adding 1 as the denominator:

2/3 ÷ 12/1

Reciprocate the second fraction:

2/3 ÷ 1/12

Turn it into multiplication:

2/3 x 1/12 = 2/36

SIMPLIFY 2/36:

2/36

Divide both sides by 2:

1/18

so your answer is 1/18

I hope I helped!

Answer:

The mistake was minus sign before the 15 and putting 15x² instead of 15x³.

The correct answer is:

[tex]-5x^{2} (3x-4)\\ = -15x^{3} + 20x^{2}[/tex]

Answer:

[tex]19 = s + p[/tex] and [tex]121 = 7s + 10p[/tex]

Step-by-step explanation:

First we use constraints given by the problem to set up two equations:

We can only have a total of 19 bags, so:

[tex]19 = s + p[/tex]

Then, we want to maximize her sugar load. Using the info on the weight of each bag and the max carrying capacity:

[tex]121 = 7s + 10p[/tex]

Answer:

Step-by-step explanation:

Let the sugar from 7 pound bags be represented by = s

And let the sugar from 10 pound bags be represented by = p

As given, Captain Liz has room for 19 bags of sugar.

This becomes [tex]s+p=19[/tex]      .......(1)

Also given is , she has room for 19 bags of sugar, so equation becomes:

[tex]7s+10p=121[/tex]     ............(2)

Hence, these are the correct equations.

Answer:

64 is the answer

Step-by-step explanation:

p / 4 = 16

p = 16 x 4

p = 64