Find the value of x in the triangle shown below.

Answer:

b^2 = 46

b = √46 (or 6.78 rounded)

Answer:

b≈6.78

Step-by-step explanation:

Just punch in your calculator the square root of 46.

[tex]\sqrt{46} =b[/tex]

b≈6.78

Answer:

ΔABC is congruent to ΔEDC by the Angle-Side-Angle congruency rule

Step-by-step explanation:

The

Statement                   [tex]{}[/tex]                                    Reason

∠FAB ≅ ∠GED                   [tex]{}[/tex]                             Given

C = Midpoint of [tex]\overline {AE}[/tex]                     [tex]{}[/tex]                    Given

∠BAC and ∠FAB are supplementary             Angles on a straight line

∠DEC and ∠GED are supplementary             Angles on a straight line

∠BAC ≅ ∠DEC                     [tex]{}[/tex]                            Transitive property

[tex]\overline {AC}[/tex] ≅ [tex]\overline {CE}[/tex]                    [tex]{}[/tex]                                       Definition of midpoint

ΔABC ≅ ΔEDC                     [tex]{}[/tex]                             ASA congruency rule  

Where two angles and an included side of one triangle is congruent to the corresponding two angles and an included side of another triangle, both triangles are congruent.     [tex]{}[/tex]                              

Answer:

-2.1

Step-by-step explanation:

3.4 minus -5.5

The number with the algebraic sum of its double and 15 is greater than 3 is described by; x > -6

From the question given;

In essence;

By solving;

Read more on inequalities;

https://brainly.com/question/14361489

Answer:

4

Step-by-step explanation:

Answer: This can help you step by step

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

multiply 7 by 5 to get 35. multiply 3 by 5 and get 15.

Answer:

15

Step-by-step explanation:

3/7=?/35

cross multiply

7?=35*3

?=35*3/7

?=5*3

?=15

Answer: B. 4

Hope this helps you!

Answer:

First one 31 oz

Second one 144 pages

Step-by-step explanation:

First one

Divide 434 by 14 (434/14) to get how many oz in a cup since its 14 oz per cup and he has 434 oz

Second one

Add up all the cards since it says "all of his cards" (2592) and divide it by 18 since each page holds 18 cards

Answer:

it's B.

Step-by-step explanation:

41>31>5>3

Answer:

-42

Step-by-step explanation:

(-6)(-7)(-1)

42(-1)

-42

Answer:

they are the same

Step-by-step explanation:

they are not diffrent because its that same

Answer:

They are alternate interior angles.

MARK ME BRAINLIEST!!

Answer:

B

Step-by-step explanation:

hope this helps

Answer:

B.

Step-by-step explanation:

Answer:

4 hours

Step-by-step explanation:

16.5+x2

7.5+x4

16.5+2=17.5+2=19.5+2=21.5+2=23.5

7.5+4=11.5+4=15.5+4=19.5+4=23.5

Answer:

36 ounces

Step-by-step explanation:

There are 16 ounces in a pound so what you have to do is multiply, here's what the equation could look like.

2.25 x 16 = 36

Hope that helps and have a great day!

Answer:

I will

Step-by-step explanation:

15 and 54 are irrational.

Answer:

C

Step-by-step explanation:

Mathematically, the volume of a cube of side L is given as;

V = L^3

Now, given V and we want to find L, what we shall simply do is to find the cube root of both sides

By finding the cube roots of both sides, we can easily get the value of the side of the cube in question

Answer:

Step-by-step explanation:

1. False

2. True

3. False

4. 12/2, 8/8, 2^2

5. 0.375

6. Through the middle vertically

7. a

Answer:

Answer:

4[tex]\sqrt{13}[/tex]

4[tex]\sqrt{13}[/tex] + 8

4[tex]\sqrt{13}[/tex] + 16

Step-by-step explanation:

as per the given information:

shorter leg = x

longer leg = x + 8

hypotonuse = x + 8 + 8

remember the Pythagorean theorem, which states

x^2 + y^2 = n^2

where x and y are the legs and n is the hypotenuse

so now one can set up an equation:

x^2 + ( x + 8 )^2 = ( x + 16 ) ^2

simplify and solve using inverse operations:

first preform the square

x^2 + x^2 + 16x + 64 = x^2 + 32x + 256

then preform inverse opertations and simplify

2x^2 + 16x + 64 = x^2 + 32x + 256

-x^2                       -x^2

x^2 + 16x + 64 = 32x + 256

       -16x            -16x

x^2 + 64 = 16x + 256

       - 64             -64

x^2 = 16x + 192

-16x     -16x

x^2 - 16 = 192

x^2 -4^2 = 192

remember the differnt ways of writing a special square

(x - 4) (x + 4) = 192

x = 4[tex]\sqrt{13}[/tex]

now add 8 to find the longer leg

4[tex]\sqrt{13}[/tex] + 8

an add another 8 to find the hypotenuse

4[tex]\sqrt{13}[/tex] + 8 + 8

4[tex]\sqrt{13}[/tex] + 16

Answer:

30°

Step-by-step explanation:

Step 1:

2x + 10 + 4x + 80 = 180     Sum of a line

Step 2:

6x + 90 = 180      Combine Like Terms

Step 3:

6x = 90     Subtract 90 on both sides

Answer:

x = 30°       Divide

Hope This Helps :)

Answer:

first second and fifth are the answers

Answer:

The vertex

Step-by-step explanation:

Vertex form shows you the vertex of a quadratic equation.

the y coordinate of the point is determined by k.

the x coordinate is determined by:

(x-h)=0

x-h=0

+h    +h

x=h

Answer:

65

Step-by-step explanation:

A=hbb

2=13·10

2=65

Answer:

71

Step-by-step explanation: 2x=142

x=71

Answer:

the missing angles are 71

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

142° is an exterior angle of the triangle, thus

x + x = 142

2x = 142 ( divide both sides by 2 )

x = 71