can u solve it please.​

Given:

The figure of a triangle.

To find:

The missing length.

Solution:

Let x be the missing length.

Basic proportionality theorem(BPT): According to this theorem, if a line is parallel to the one side of a triangle then that the line intersects the other two sides of the triangle in the same ratio.

Using Basic proportionality theorem, we get

[tex]\dfrac{6}{8-6}=\dfrac{12-x}{x}[/tex]

[tex]\dfrac{6}{2}=\dfrac{12-x}{x}[/tex]

[tex]3=\dfrac{12-x}{x}[/tex]

[tex]3x=12-x[/tex]

Adding x on both sides, we get

[tex]3x+x=12[/tex]

[tex]4x=12[/tex]

[tex]x=\dfrac{12}{4}[/tex]

[tex]x=3[/tex]

The missing length is 3 Therefore, the correct option is D.

Answer:

1/4 ×28=7 ::*^ jghjnryh

Answer:

7

Step-by-step explanation:

[tex]\left(\frac{1}{4}\right)\cdot28[/tex]

[tex]\frac{\left(1\right)\cdot\left(28\right)}{\left(4\right)\cdot\left(1\right)}[/tex]

[tex]\frac{\left(28\right)}{\left(4\right)}[/tex]

You should divide both the numerator and the denominator by 4 and get 7 as a result of that.

Answer:

Its probably a because the ones with squared results in a u shape

Answer:

B

Step-by-step explanation:

Do 115000/100x6.5    You get 7.475k

Answer:

convert it to improper fractions first

Step-by-step explanation:

4 x 7 + 3 = 31

So, 7   3/4 = 31/4

Similarly, 5 x 2 + 2 = 12

So, 2  2/5 = 12/5

Now we have,

31/4 - 12/5

Make the denominators same....

Multiply both the denominators by each other...

4 x 5    and 5 x 4 = 20 both the denominators equal to 20.

Now multiply the numerators like that

so, 31 x 5  and 12 x 4

equals to 151/20  and 48/20

Now subtract both ...

151-48 = 103

So the answer is 103/20

Hope it helps!!!

Answer:

Not a linear relationship

Step-by-step explanation:

Given

The attached table

Required

Linear or not

To do this, we simply calculate the slope of the table at different intervals.

Slope (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (0.5,7.2)[/tex]

So, the slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{7.2 - 0}{0.5-0}[/tex]

[tex]m = \frac{7.2}{0.5}[/tex]

[tex]m = 14.4[/tex]

Let:

Let:

[tex](x_1,y_1) = (1,10.7)[/tex]

[tex](x_2,y_2) = (2,12.2)[/tex]

So, the slope is:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{12.2 - 10.7}{2 - 1}[/tex]

[tex]m = \frac{1.5}{1}[/tex]

[tex]m = 1.5\\[/tex]

See that the calculated slopes are not equal.

Hence, it is not linear

Answer:

hope this help you......

Answer:

ab=1/2*34 by mid point theorem

ab=17

so 3x-1=17

3x=17+1

3x=18

X=18/3

X=6

hope it helps

Answer:

Step-by-step explanation:

We see 75% of data lies in the interval 0 - 48, and the 120 is the outlier.

We wouldn't use the range as it won't be a representation of variability.

The best measure would be IQR:

Correct choice is C.

Answer:

Area of triangle ABC = 6 square units

Step-by-step explanation:

By applying Pythagoras theorem in right triangle ADC,

AC² = AD² + CD²

3² = (1.8)² + CD²

9 - 3.24 = CD²

CD = √5.76

CD = 2.4 units

By applying mean ratio theorem,

[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]

CD² = AD × DB

(2.4)² = 1.8 × DB

DB = [tex]\frac{5.76}{1.8}[/tex]

DB = 3.2 units

AB = AD + DB

AB = 1.8 + 3.2

AB = 5 units

Since, area of a triangle ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                                = [tex]\frac{1}{2}(\text{AB})(\text{CD})[/tex]

                                                = [tex]\frac{1}{2}(5)(2.4)[/tex]

                                                = 6 square units

Answer:

The answer is C.x=6,x=-6

Step-by-step explanation:

Greetings!

An assumption

"In general, all equations of the form x² = a, where a is a positive number, will always give two solutions, namely x = - √a or x = √a."

Thus,

Answer:

i cant put the picture

Step-by-step explanation:

d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median

Answer:

102.96

Step-by-step explanation:

Answer:

[tex]102.96[/tex]

Step-by-step explanation:

7 . 2

× 14 . 3

___________

²2 . 16

²28 . 80

72 . 00

____________

¹1¹02.96

Therefor, the answer is 102.96

Answer:

the second and last one

....................

Answer:

58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the two remote interior angles.

m∠A + m∠C = measure of exterior angle at B

2x + 2 + 54 = 4x

2x + 56 = 4x

2x = 56

x = 28

m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°

Answer:

A

Step-by-step explanation:

Remark

<A + <C = the exterior angle.

Two remote interior angles = the exterior angle that neither connects to.

Remote means that the angles do not share any line in common with the remote angle. One of them might share a line extended with the exterior angle.

Equation

<A + <C = Remote angle connected to the supplement of B

Givens

m<A = 2x + 2

m<C = 54

Remote angle = 4x

Solution

2x + 2 + 54 = 4x           Combine like terms on the left

2x + 56 = 4x                 Subtract 2x from both sides

56 = 4x - 2x

2x = 56                         Divide by 2

x = 56/2

x = 28

Answer

<A = 2x + 2

<A = 2*28 + 2

<A = 56 + 2

<A = 58  

Answer: The amount of outcomes is 26 because you have 26 cards which are all possible to draw so they are the outcomes.

Step-by-step explanation:

Basic arithmetic really.  8+6+5+7 = 26. The color was just added to confuse u.

Answer:

A and F, x=35

Step-by-step explanation:

The correct answers are :

A ) x + y = 57

F) 6x + 2.5ʏ = 265

Answer:

4a) Irrational

Step-by-step explanation:

The square root of 20 is irrational. There is no number that can multiplied by itself to equal 20.

For a better explanation, the square root of 25 is rational. 5 can be multipled two times to be equivalent to it. Meanwhile, 20 can't.

9514 1404 393

Answer:

  49 cm^2

Step-by-step explanation:

The shape is a 3 × 3 square on top of a 4 × 10 rectangle. The area of each rectangle is found by multiplying the dimensions.

  Total Area = (3 cm)(3 cm) +(4 cm)(10 cm) = 9 cm^2 +40 cm^2

  Total area = 49 cm^2

Answer:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

Step-by-step explanation:

Table:

                              Vitamin A        Vitamin B         Cost $/oz

Wheat  (x)                10.5                    2.4                   0.05          

Oats     (y)                 6                       1.8                    0.10          

Requirements           48 (mg)              20 (mg)

Requirements           1,693 (oz)           0,7054 (oz)

The problem is minimized z subject to two constraint

z  =  0.05*x  + 0.1*y   to minimize

Subject to:

Requirement  of  Vitamin A

10.5*x + 6 * y  ≥  48

Requirement  of  Vitamin B

2.4*x   + 1.8*y ≥  20

x≥0  y≥0

Using  the on-line solver AtomZmaths and after 3 iterations the solution is:

z (min ) = 0.4167    $

x = 8,33 oz

y = 0

Answer:

I'm not sure would love to help but dont know the answer

Answer:

h = 12 cm

Step-by-step explanation:

Given that,

The area of the can of a soup, A = 354.2 cm²

Radius of the can, r = 4.7 cm

We need to find the height of the can. The formula for the volume of a cylinder is given by :

[tex]A=2\pi rh\\\\ 354.2=2\times 3.14\times 4.7h\\\\h=\dfrac{354.2}{2\times 3.14\times 4.7}\\\\h=12\ cm[/tex]

So, the height of the can is equal to 12 cm.

Answer:

ok

Step-by-step explanation:

Answer:

mode of this question is 71

Answer:

71

Step-by-step explanation:

because mode is the number that occurs most frequently

9514 1404 393

Answer:

  r = ±√47

Step-by-step explanation:

  -7r^2 = -329 . . . . given

  r^2 = 47 . . . . . divide both sides by -7 (multiplication property of equality)

  r = ±√47 . . . .  square root both sides (square root property of equality)

Answer:

This is what I got.

Step-by-step explanation:

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5