DF is the altitude to the hypotenuse EC. What is the length of DE?

Select the best answer from the choices provided.
A. 3
B. 6
C.12
D. 24

Answer:

SEE THE IMAGE FOR SOLUTION.

HOPE IT HELPS

Step-by-step explanation:

the answer is in picture

the cost price is 50

Answer:

Step-by-step explanation:

Solve for c:

=========================================================

Explanation:

x = exterior angle

x+108 = interior angle, as its 108 degrees larger than the exterior

The two angle pairs add up to 180, since they form a straight line

exterior+interior = 180

x+(x+108) = 180

2x+108 = 180

2x = 180-108

2x = 72

x = 72/2

x = 36

The exterior angle is 36 degrees which means we have n = 360/x = 360/36 = 10 sides. This polygon is a decagon.

Answer:

Step-by-step explanation:

Let the number of sides is n.

We know the sum of interior angles is:

So each interior angle is:

We also know the sum of exterior angles is 360, so each exterior angle is:

We are given the difference of the interior and exterior angles:

Solve the equation for n:

The polygon has 10 sides

Answer:

False

Step-by-step explanation:

The slope of a line is

Change in y over change in x

This is also known as rise over run

Answer:

T (6, 5 )

Step-by-step explanation:

Using the section formula

If (x₁, y₁ ) and (x₂, y₂ ) are divided in the ratio m : n , then

( [tex]\frac{nx_{1}+mx_{2} }{m+n}[/tex] , [tex]\frac{ny_{1}+my_{2} }{m+n}[/tex] ) are the coordinates of the internal point

Here (x₁, y₁ ) = A (- 4, 10 ) , (x₂, y₂ ) = B (10, 3) , m : n = 5 : 2

T = ([tex]\frac{2(-4)+5(10)}{5+2}[/tex] , [tex]\frac{2(10)+5(3)}{5+2}[/tex] )

   = [tex]\frac{-8+50}{7}[/tex] , [tex]\frac{20+15}{7}[/tex] )

  = [tex]\frac{42}{7}[/tex] , [tex]\frac{35}{7}[/tex] )

  = (6, 5 )

I hope it helps you

Answer:

[tex]y = 0 \: .x = \frac{2}{3} y[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]

[tex]3xy - 2 {y}^{2} = 0[/tex]

[tex]y \times (3x - 2y) = 0[/tex]

[tex]y = 0 = 3x - 2y = 0[/tex]

[tex]y = 0 = 3x = 2y[/tex]

[tex]y = 0[/tex]

[tex]x = \frac{2}{3} y[/tex]

[tex]y = 0. \: x = \frac{2}{3} y[/tex]

Answer:

1)

AB = 23-18.9

AB= 4.1

~~~~~~~~~~~~~~~~~

2) 5x+15 = 50

5x=35

x=7

Step-by-step explanation:

Answer:

x =36

Step-by-step explanation:

The three angles form a straight line which means they add to 180

2x+2x+x = 180

Combine like terms

5x = 180

5x/5 = 180/5

x =36

Answer:

X=36

Step-by-step explanation:

A straight line like the one shown in the image has 180° by one side.

Following that, we should assume that:

2x+2x+x=180°

5x=180°

x=36°

I hope I have helped you.

Answer:

Step-by-step explanation:

Well in London The time is like 12 and stops there it don't go to 13:00 like New York does so basically I'm saying London as a regular time and New York has the Military Time!

Answer:

[tex](a-1)(a^2+a+2)\\[/tex]

Hi,

Step-by-step explanation:

[tex]Remember:\ x^3-y^3=(x-y)(x^2+xy+y^2)\\a^3-1+a-1\\\\=(a-1)(a^2+a+1)+1(a-1)\\\\=(a-1)(a^2+a+2)\\[/tex]

Answer:

have a great day

god bless you

Answer:

Gradient: m = 3

Step-by-step explanation:

m = change in y/change in x

m = [tex]\frac{Y2-Y1}{X2-X1}[/tex]

m = [tex]\frac{9-(-3)}{6-(2)}[/tex]

m = 12/4

m = 3

Answer:

2 cups of yogurt

Step-by-step explanation:

1=1/2

4=4×(1/2)

=2

Answer:

0.31

Step-by-step explanation:

(2/7)-(3/8)+(2/5)

Answer:

LCM: 7,8,5 = 280

80/280 - 105/280 + 112/280

87/280

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

A=13

hope this helped!!!

Answer:

-13

Step-by-step explanation:

-50=6a+28

collect like terms

-50-28=6a

-78=6a

divide both sides by the coefficient of a

-78/6=6a/6

a=-13

Answer:

None of the first 4 do. so I guess the answers E.

Step-by-step explanation:

If 101 is given in base b, then in base 10 you have

[tex]101_b = 1\times b^2 + 0\times b^1 + 1\times b^0 = b^2 + 1[/tex]

For instance, if b = 2, then

101₂ = 2² + 1 = 5₁₀

If b = 3, then

101₃ = 3² + 1 = 9₁₀

If b = 4, then

101₄ = 4² + 1 = 17₁₀

The answer depends entirely on the base of the given number.

Answer:

B

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Let's say the unknown number is x

x/5 = 15

x = 15*5

x = 75

Answer:

AC = 22

Step-by-step explanation:

AB + BC = AC , substitute values

4x - 6 + 4 = 2x + 10 , that is

4x - 2 = 2x + 10 ( subtract 2x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22

Answer:

8a - b + 6c

Step-by-step explanation:

Just combine like terms.

5a + 3a = 8a

-2b + b = -b

7c - c = 6c

Answer:

hey

Step-by-step explanation:

Formal geometric reasoning gives better information than informal geometric reasoning.

Informal Geometry is defined as the aid for understanding geometry via questioning, practices, and conjecture. Subjects include stature, balance, isometries, and proportions, with scaling as a major theme.

Formal geometry is defined as geometric explanations that are ways to formally make an opinion about a particular formation or figures in the geometrical entity, a formal geometric explanation is a detailed way to deliver that specific figures or domains which are congruent.

An an conjecture is made often using observation and detail given on the basis of logical observation is termed informal geometric reasoning,
While in formal geometric reading calculation-based approximation conjectures gives better detail of the informal geometric reasoning.

Learn more about formal geometry here:
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Answer:

C(t)=25+2t

C(1.5)=25+2(1.5)=28

$28 for 1.5 minutes rent

A function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t and the cost for 1.5 minutes will be $28.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Given that the rental charge is $25 plus $2 for every 20 minutes of rental.

The function formed for the given data will be:-

C(t)=25+2t

At 1.5 minutes the rent will be calculated as below:-

C(1.5)=25+2(1.5)=28

Therefore, the function C(t) represents the cost of renting a canoe for t hours is C(t)=25+2t, and the cost for 1.5 minutes will be $28.

To know more about the function follow

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Answer:

your answer is 4x+4

Step-by-step explanation:

x^2-1) x^2+4x+3 (1

x^2 -1

(-) (+)

4x+4

quotiend is 1

remainder is 4x+4

Answer:

your answer is 7x/-1

Step-by-step explanation:

x^2 cancels out x^2

4+3=7

therefore your answer is 7x/-1

Answer:

Hello,

Step-by-step explanation:

[tex]f(n)=4n-5\\\\g(n)=an+b\\\\(gof)(n)=5n+1\\\\f(g(n))=f(an+b)=4*a*n+4b-5=5n+1\\\\4an=5n ==> a=5/4\\4b-5=1 ==> 4b=6 ==> b=3/2\\\\\\\boxed{g(n)=\dfrac{5n}{4} +\dfrac{3}{2} }\\\\[/tex]

Based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

Complementary angles have a sum that is equal to 90 degrees. If two angles are complementary, then their sum = 90 degrees.

Angle 7 and angle 8 are complementary [given]

Angle 5 and angle 6 will also be complementary

Angle 5 ≅ angle 8 [given]

Angle 7 will also be congruent to angle 6

Measure of angle 6 = 29° [given]

Measure of angle 7 = 29°

Measure of angle 5 + measure of angle 6 = 90 degrees

Substitute

Measure of angle 5 + 29° = 90°

Measure of angle 5 = 90° - 29°

Measure of angle 5 = 61°

Therefore, based on the definition of complementary angles:

Measure of angle 7 = 29°

Measure of angle 5 = 61°

Learn more about complementary angles on:

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Answer:

I can't see the question

Step-by-step explanation:

Take a proper picture