In triangle $ABC,$ $M$ is the midpoint of $\overline{AB}.$ Let $D$ be the point on $\overline{BC}$ such that $\overline{AD}$ bisects $\angle BAC,$ and let the perpendicular bisector of $\overline{AB}$ intersect $\overline{AD}$ at $E.$ If $AB = 44,$ $AC = 30,$ and $ME = 10,$ then find the area of triangle $ACE.$

please help with this, it will truly be appreciated

Answer:

72

Step-by-step explanation:

this number sentence will be represented as,

72 is 8 times as many as 9

For the given sides AB and BC the angle included would always be Angle B

When we form a triangle we name the vertex as A, B and C. So, the sides AB and BC will always have an Angle B regardless of the naming convention we use.

A triangle is a polygon with three vertices and three edges that has three sides. It is a basic geometric shape. The term "abc" refers to a triangle containing the vertices a, b, and c. Any three non-collinear points in Euclidean geometry combine to create a singular triangle and a singular plane.

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The measure of each angle of the triangle is 40°, 40° and 100°.

What is the triangle?

Given:

In an isosceles triangle two of the three angles measure the same.

Let the two angles be equal to x.

The third angle is 20 more than twice the measure of either angle, which means 2x+20.

The angles of a triangle add up to 180 degrees.

(x)+(x)+(2x+20)=180

4x+20=180

4x=160

x=40 degrees

So, the two angles measure 40° each and the third angle would be,

2x+20

=2*40+20

=100°

Therefore, the measure of each angle of the triangle is 40°, 40° and 100°.

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The amount of the shed that Jack would have built when Kyle finishes the shed is 8/25.

A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 8/25. 8 is the numerator and 25 is the denominator.

When Kyle finishes building the shed, he would have finished building a fraction of 1/1 of the shed. S

So, the amount of shed, that Kyle still needs to build to complete the shed is 1 ÷ 5/8

= 1 x 8/5 = 8/5

The amount of shed that Jack will have built when Kyle finishes the shed is:

8/5 x 1/5 = 8/25

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Answer:

1.75 inches deep into the post

Step-by-step explanation:

First, you do 2.5 - 0.75 which is 1.75 in

The answer is 1.75 in

Hope this helps!

Answer:

Step-by-step explanation:

i don't know if this is right but here is how i would do it.

Wins: Losses = 8:3 = 32: 12 = 32 wins + 12 losses = 44 games played.

Answer:

0.75

Step-by-step explanation:

1. distribute the 2 into the perenthesis

2. combine like terms

3. simplify on both sides

Answer:

umber is greater than or equal to 15.

Step-by-step explanation:

Let number be x

Quotient of number and 3 =

4 more than = 4+

4+ is at least 9

4+≥9

Simplifying it ,we get

≥9-4

≥5

x ≥ 5(3)

x≥15

Number needs to be greater than or equal to 15

    Equation

(x ÷ 3) + 4 ≥ 9

___________

    Solution

x ≥ 15

Step-by-step explanation:

Solve the inequality

[tex]\left(x\div3\right)+4\ge \:9\\x\div 3+4-4\ge \:9-4\\x\div 3\ge \:5\\3x\div 3\ge \:5\cdot \:3\\x\ge \:15[/tex]

Thus, the inequality solution is x ≥ 15

Answer: at least 3 more games

Step-by-step explanation:

70% of 72 is 50.4

50.4 - 48 = 2.4

Because one can't win only a fourth of a game, you need to round up. Bringing us to at least 3 more games to win

The step 2 is incorrect angle o and angle p form supplementary angles not alternate interior angle that is :

∠o +  ∠p = 180°

What are alternate interior angle ?

An alternate interior angle is one formed on the inside side of two parallel lines and opposite on the outer side of the transversal when those two parallel lines are intersected by a transversal and they are equal.

Alternate angles between a transverse and parallel lines are equal .

Here, the step 1 is correct :

as the sum of angles of a triangle is 180 degree therefore,

∠m +∠n + ∠o = 180°.............(1)

the step 2 is incorrect :

as angle o and angle p form supplementary angles not alternate interior angle therefore it will be :

∠o +  ∠p = 180°........(2)

after that step 3 and 4 is correct to get the final result as :

step 3 : ∠m +∠n + ∠o = ∠o +  ∠p

step 4 : ∠m +∠n = ∠p

Therefore, the step 2 is incorrect angle o and angle p form supplementary angles not alternate interior angle.

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The solution of the radical equation of x is 1.

A linear equation in one variable is an equation which can be represented in the form of ax+b where x is the variable and 'a' is the coefficient and 'b' is  the two constants.

A radical equation is defined as an equation where the variable is under a radical or root.

We know that n-th root of a variable x can be written as x to the power of (1/n). Mathematically : [tex]\sqrt[n]{x} =x^{\frac{1}{n} }[/tex]

In the given equation:

∛x-1=√x-1

adding 1 to both sides we get:

or, ∛x=√x

Cross multiplying we get:

or, ∛x/√x =1

We know that (aˣ/aⁿ)=a⁽ˣ⁻ⁿ⁾

therefore :

or, [tex]x^{\frac{1}{3}-\frac{1}{2} }=1[/tex]

or, [tex]x^{-\frac{1}{6} }=1[/tex]

or, x=1

Hence the value of x in the radical equation is 1

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The solution to question 8, in scientific notation is  9.563 x 10¹¹.

The solution to question 9, in scientific notation is  9.83 x 10⁸.

The solution to question 10, in scientific notation is 1.35759 x 10⁹.

The solution to question 11, in scientific notation is  8.70366 x 10⁴.

Scientific notation is a form of presenting very large numbers or very small numbers in a simpler form.

(9.5 x 10¹¹) + (6.3 x 10⁹)

= (950 x 10⁹) + (6.3 x 10⁹)

= (950 + 6.3) x 10⁹

= 956.3 x 10⁹

= 9.563 x 10¹¹

(1.03 x 10⁹) - (4.7 x 10⁷)

= (103 - 4.7) x 10⁷

= 98.3 x 10⁷

= 9.83 x 10⁸

(1.357 x 10⁹) + 590,000

= (1.357 x 10⁹) + (5.9 x 10⁵)

= (13570 x 10⁵) + (5.9 x 10⁵)

= (13570 + 5.9) x 10⁵

= 13,575.9 x 10⁵

= 1.35759 x 10⁹

87,100 - (6.34 x 10¹)

= 87,100 - 63.4

= 87,036.6

= 8.70366 x 10⁴

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Answer: 16mph

Step-by-step explanation:

64 miles divided by the 4 hours comes out to 16 per hour

Answer: 16 miles per hour

A. Using subtraction, the distance between the two birds = |-2.5 - 2.5| = |-5| = 5 meters.

B. Using additive inverses, the distance = 2.5 + 2.5 = 5 meters

The distance between any two points on a number line is the absolute difference of the coordinates of the two points.

The additive inverse of a number is the number that is added to the number to make it zero. For example, the additive inverse of a is -a.

Part A:

Using subtraction, the distance between the two birds = |-2.5 - 2.5| = |-5| = 5 meters.

Part B:

The additive inverse of -2.5 is 2.5.

Using additive inverses, the distance = 2.5 + 2.5

Using additive inverses, the distance = 5 meters

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Answer:

[tex] \sf \: x=34[/tex]

Step-by-step explanation:

Let's solve your equation step-by-step.

x/2 = 17/1

Step 1: Cross-multiply.

x/2 = 17/1

x*(1)=(17)*(2)

x=34

Answer:

x + y = 29   equation 1 

Five more than means add 5+5 three times the smaller number:

 3x equals the larger number:  = y 3x + 5 = y    equation 2

 From equation 1x + y = 29subtract x from both sidesy = 29 - x 

We now have two things that are both equal tothe larger number y.

  They must be equal to each other. 
3x + 5 = 29 - x

 Add x to both sides 3x + x + 5 = 29 - x + x4x + 5 = 29

subtract 5 from both sides 4x + 5 - 5 = 29 - 54x = 24

divide both sides by 44x/4 = 24/4x = 6 

We now know x = 6

We also know y=29-x y = 29 - 6y = 23

 Your numbers are 6 and 23

Step-by-step explanation:

Answer:okay

Step-by-step explanation:hm

The correct option is D). The element is sodium, and it is highly reactive.

The atomic number of the element sodium (Na) is 11. It means that the sodium has 11 protons in total and because it is neutral it has 11 number of electrons.

Valence electrons (VE) refers to the electrons that usually presents in the outer shell of an atom. Thus, the sodium has only 1 valence electron.

Basically, the mass number of an element tells about the number of protons and neutrons in an atom and sodium is the atom that has 11 atomic number.

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Complete question:- The atoms of a certain element each contain 11 protons and 1 valence electron. Which statement correctly identifies this element and describes its chemical reactivity?

A The element is sodium, and it is highly reactive.

B The element is fluorine, and it is not very reactive.

C The element is sodium, and it is not very reactive.

D The element is fluorine, and it is highly reactive.

Answer:

x = 7

Step-by-step explanation:

Ok, so these angle are equal, because they are opposite angle

So we could write as x+16 = 4x - 5

Now we solve the equation:

x+16 = 4x - 5

16+5 = 4x -x

21 = 3x

7 = x

Answer:

Since 30% of 100 ml = .3*100 = 30 ml

60 % of X ml = .6x which we are trying to solve

add

(X+100).36 = 30+.6x

.36x+36 = 30+.6x

so

6 = .24x

x = 25 ml

Step-by-step explanation:

I hope this helps you

Angles ECD and ACB are congruent, since they form a pair of vertical angles. Let their measure by [tex]y[/tex].

The sum of the interior angles of any triangle is 180°. This means

• in ∆CDE, we have

[tex]x + 100^\circ + y = 180^\circ[/tex]

• in ∆ABC, we have

[tex]4x + 49^\circ + y = 180^\circ[/tex]

Solve for [tex]x[/tex] by eliminating [tex]y[/tex].

[tex](x + 100^\circ + y) - (4x + 49^\circ + y) = 180^\circ - 180^\circ[/tex]

[tex]-3x + 51^\circ = 0[/tex]

[tex]3x = 51^\circ[/tex]

[tex]\boxed{x = 17^\circ}[/tex]

5x + 8

2(5x+8)

2(5x+8) is the express of twice the sum of 5 times a number and 8

answer: 2 (5x+8) = 12

Answer:

9!

Step-by-step explanation:

Because a person who switch with 9 people, then another person switch with 8 people (because the first person was already counted), then another person who switch with 7 people (becsuse the first and the second person was already counted)... and you will get 9!. 9! is 9 factorial which is 9×8×7×6×5×4×3×2×1. :)

Answer:

Parallel

Step-by-step explanation:

The number of large bins that the pieces will completely fill is 3.

Each large bin can contain only one type of colour. In order to determine the number of large bins that would be used for each color, divide the color for each piece.

Number of large bins that would be used for Brown color = 283 / 150 = 1.89.

1 large bins would be completely filled with brown glass color

Number of large bins that would be used for Green color = 116 /1 50 = 0.7

No large bin would be completely filled with the green glass color

Number of large bins that would be used for Clear color = 315 / 150 = 2.1

2 large bins would be completely filled with the clear glass color

The total number of large bins that would be completely filled = 1 + 2 = 3

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The length of DC found using Pythagorean theorem given AD = 10.6 and DB = 5.6 and AD and AB are tangent of circle O, is DC = 1.6

The given parameters are;

The tangents of circle O = AD and AB

The segment passing through O = DB

AD = 10.6

DB = 5.6

Required; The length of DC

Solution;

According to Pythagorean theorem, we have;

AB = √(10.6² - 5.6²) = 9

AB = AC = 9

AD = DC + AC

Which gives;

10.6 = DC + 9

DC = 10.6 - 9 = 1.6

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Answer:

x=4

Step-by-step explanation:

The contrapositive statement is:

If x ≠ 2, then x^2 ≠ 4

And it is false.

First, we have two propositions:

p = "x^2 = 4"

q = "x = 2"

The contrapositive statement is:

¬q → ¬p

The negation of the propositions are:

¬q  = "x ≠ 2"

¬p = "x^2 ≠ 4"

Then the contrapositive statement with the given propositions is:

If x ≠ 2, then x^2 ≠ 4

Now, is this statement true?

No, because we can have:

x = -2 (which is different than 2, so the hypothesis is true)

and x^2 = (-2)^2 = 4

Then the conclusion is false, so the statement is false.

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The volume of Ruth's new lunch box is 1,540 cm³.

The volume is a measure of an object occupied in a three-dimensional space.

Volume is a three-dimensional quantity that measures the capacity of a shape or the amount of three-dimensional space a closed figure can occupy.

The formula for computing a volume is height x length x width.

Height = 5 cm

Length = 22 cm

Width = 14 cm

Volume = 1,540 cm³ (5 x 22 x 14)

Thus, the volume of Ruth's new lunch box, showing the three-dimensional space within, is 1,540 cm³.

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Answer:

I think the constraint of proportionality is 25 because each dot it increases buy 25.

I also believe that at 10 the total should be at 225.