DF and GI are parallel lines.

Which angles are alternate interior angles?

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:

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:

ok

Step-by-step explanation:

The required amount of potassium-42 left after 62.0 hours is 26.5 grams.

Given that,
Potassium-42 has a half-life of 12.4 hours. How much of an 848-gram sample of potassium-42 will be left after 62.0 hours is to be determined.

The half-life of the element is defined as the time span in which the element grows or decays half of its whole composition of growth and decay.

Here,
Amount left of the potassium after 62 hours is given as,
A = 848 [1 / 2 ] ⁶²/¹²°⁴
A = 26.5 gram

Thus, the required amount of potassium-42 left after 62.0 hours is 26.5 grams.

learn more about half-life here:
https://brainly.com/question/24710827
#SPJ2

Answer:

-2/3

Step-by-step explanation:

-1.5 - 0.5 / 2.5 - (-0.5)

= -2/3

Answer:

x=18 days

Step-by-step explanation:

since the student runs 2 1/2 miles everyday divide that into 45 miles and you get 18 therefore x=18

Answer:

D

Step-by-step explanation:

Answer:

16 more 3/8 mile runs

Step-by-step explanation:

We can just divide 6 by 3/8

6/1 divided by 3/8

6/1 * 8/3

48/3

16

Answer:

yes

Step-by-step explanation:

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:

1.  LCD= 24

2. LCD= 18

Answer:

Area of cardboard required = 468 cm²

Step-by-step explanation:

Area of the cardboard required = Surface area of the triangular prism

Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides

Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]

                                                    = [tex]\frac{1}{2}(12)(9)[/tex]

                                                    = 54 cm²

Area of lateral sides = Perimeter of the triangular base × Height

Perimeter of the triangular base = 9 + 12 + 15

                                                     = 36 cm

Now area of the lateral sides = (36) × 10

                                                = 360 cm²

Surface area of the prism = 360 + 2(54)

                                          = 360 + 108

                                          = 468 cm²

Therefore, area of cardboard required for each box = 468 cm²

9514 1404 393

Answer:

  20, 50

Step-by-step explanation:

Let x and y represent the two numbers.

  x + y = 70 . . . . . . their sum is 70

  2x +10 = y . . . . . . one is 10 more than twice the other

Using the second equation to substitute for y in the first equation, we have ...

  x + (2x +10) = 70

  3x = 60 . . . . . . . . . subtract 10

  x = 20 . . . . . . . . . divide by 3

  y = 70 -20 = 50 . . . find the other number

The two numbers are 20 and 50.

Answer:

i think b

Step-by-step explanation:

Answer:

10π (after use calculator)

Step-by-step explanation:

A = 2πr

so,

A = 2(π)(5)

A = 10π

then use your calculator

and u will get the answer

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:

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:

29160cm³

Step-by-step explanation:

(18*18*18) *5 = 29160

Answer:

H

Step-by-step explanation:

Area of a square is given as 16 unit²

Since formula of square is

A=l²

16=l²

l=√16

=4

Answer:

Hi! The answer to your question is Relation

Step-by-step explanation:

To be a function the x values can't repeat, since they do, its a relation

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

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

Answer: 153

Step-by-step explanation:

Let x = minutes

0.09x + 5 = 18.77

0.09x = 13.77

x = 13.77 ÷ 0.09 = 153

He was billed for 153 minutes

Answer:

x = 14.5

Step-by-step explanation:

This is a supplementary angle, meaning the sum of the angles is 180°.

We can find the value of x by combining like terms.

5x - 6 + 7x + 12 = 180.

5x and 7x are alike.

5x + 7x = 12x.

-6 + 12 = 6.

The final equation is 12x + 6 = 180.

We can solve this by subtracting 6 from 180.

180 - 6 = 174.

12x = 174

Lastly, we divide 174 by 12.

174 / 12 = 14.5

Therefore, x is equal to 14.5

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 because its a complementary angle which has a angle which us added to 90 and a plus c =complementary

Answer:

Answer A is incorrect

Step-by-step explanation:

Just took the test

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:

a_{n} = a_{1} + (n-1)d

a_n = the nᵗʰ term in the sequence

a_1 = the first term in the sequence

d = the common difference between terms

The general term of an arithmetic sequence can be written in terms of its first term a1, common difference d, and index n as follows: an=a1+(n−1)d. ... The nth partial sum of an arithmetic sequence can be calculated using the first and last terms as follows: Sn=n(a1+an)2.

Answer:

Step-by-step explanation:

Volume of prism:

The base is a right triangle, its area is:

The volume is:

Correct choice is A