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

Help Please!

Answers

Answer 1

The area of Triangle ACE from the given diagram is; 150 sq.units

What is the area of the triangle?

We are given;

AB = 44

AC = 30

ME = 10

Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.

Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.

By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM

Thus, we can say that KE = ME = 10

Formula for area of triangle is;

A = ¹/₂ * base * height

where;

base = AC = 30

Height = KE = 10

Thus;

A =  ¹/₂ * 30 * 10

A = 150

Read more about area of the triangle at; https://brainly.com/question/17335144


Related Questions

25.323=36*8 divided by 12

Answers

Answer:

False

Step-by-step explanation:

[tex]36 \times 8 = 304[/tex]

[tex]304 \div 12 = 25.333[/tex]

[tex]25.323=25.333[/tex]

Hence, the equation is false.

What is the volume of a cylinder, in cubic feet, with a height of 8 feet and a base diameter of 18 feet? Round to the nearest tenths place

Answers

Answer:

your answer would be 2035.75ft³

In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if

a=2sqrt3 , c=2b ?

Answers

Answer: b = √6

Step-by-step explanation: Use the Pythagorean Theorem to solve this.

a² + b² = c²

Plug in your values:

2√3² + b² = 2b²

When a square root is squared, the square root is cancelled out so you will be left with this:

2(3) + b² = 2b²

Subtract b² from both sides so you’re left with:

6 = b²

Now, to get rid of the square, just square root both sides:

√6 = √b²

Since the √6 is not a perfect square, leave it in the radical. Then, you get your answer:

b = √6

Answer:

the answer:b is equivalent to 2

what is the mean for 98,78,84,75,91

Answers

the mean is going to be 85.2

Chloe performs two transformations on trapezoid ARCD Io prove that it is congruent to trapezoid EFGH. Move phrases to the table to show two transformations that Chloe could perform reflection across a vertical line reflection across a diagonal line clockwise rotation of 90 degrees reflection across a honzontal line clockwise rotation of ISO degrees​

Answers

Answer:

Clockwise rotation of 90 degrees and reflection across a vertical line. (as shown in picture)

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day! :)

Food poisoning occurs when bacteria like Salmonella and Listeria grow on food. These microorganisms grow at an
exponential rate. When an initial population of 100 bacteria are left at 98.6°F, they will grow at a rate of b= 100(8)". Which
graph could be used to calculate the number of bacteria after a certain number of hours?

Answers

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

What is an exponential function?

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the amount of bacteria after x hours. Hence:

y = 100(8)ˣ

The function that shows the number of bacteria after a certain number of hours is y = 100(8)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

its c third graph

Step-by-step explanation:

right on edge

solve the inequality and state the answer in interval notations 3x-7 ≤ 14

Answers

Answer:

Step-by-step explanation:

3x-7 ≤ 14

3x≤ 14+7

3x≤ 21

x≤ 21/3 = 7

=> x = (-∞;7]

That means that x can be any negative number and any positivi number (1,2,3...7)

Bryan works as a florist. The number of bouquets he makes is given by the equation , where b is the number of bouquets and h is the number of hours. How many hours would it take him to make 6 bouquets?

Answers

Answer:

B -8

Step-by-step explanation:

Answer:

The answer is B. 8

Step-by-step explanation:

Hope this helps :)


Zucchini weights are approximately normally distributed with mean 08 pound and standard deviation 0.25 pound. Which of the following shaded regions best represents the probability that a
randomly selected zucchini will weigh between 0 55 pound and 13 pounds?

Answers

Answer:

The correct option is  A

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 0.8 \ pounds[/tex]

    The standard deviation is  [tex]\sigma = 0.25 \ pounds[/tex]

Generally the the probability that a  randomly selected zucchini will weigh between 0 55 pound and 13 pounds is mathematically represented as

       [tex]P(0.55 < X < 1.3) = P(\frac{0.55 - 0.8}{ 0.25} < \frac{X - \mu}{\sigma } < \frac{1.3 - 0.8}{0.25})[/tex]

=>    [tex]P(0.55 <  X  <  1.3)  =  P( -1 <  Z  <  2 )[/tex]

So looking the option of normal curves given in the question we see that it is option A that matches our interval  

The graph of f ′ (x), the derivative of f(x), is continuous for all x and consists of five line segments as shown below. Given f (0) = 6, find the absolute maximum value of f (x) over the interval [0, 5].


2
8
11
13

Answers

The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.

Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.

By the fundamental theorem of calculus,

[tex]\displaystyle f(5) = f(0) + \int_0^5 f'(x) \, dx[/tex]

The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so

[tex]\displaystyle \int_0^5 f'(x) \, dx = \frac{5+2}2 \times 2 = 7[/tex]

[tex]\implies \max\{f(x) \mid 0\le x \le5\} = f(5) = f(0) + 7 = \boxed{13}[/tex]

PLEASE ANSWER FAST!!!

Answers

Angle QPR is equal to 92 degrees

Jessie is following a chocolate milk recipe that requires of 2 cups milk and 5 tablespoons of cocoa powder. He wants to make a large batch. How many cups of milk does he need if the batch requires 40 tablespoons of cocoa powder?

Answers

Step-by-step explanation:

5 tablespoons = 2 cups milk

1 tablespoon = 2/5 cups milk

40 tablespoons = 2/5 × 40 = 16 cups milk

1
Ramsey has 16 books to read for AR.
1/8 of the books are biographies.
1/4 of the books are fantasy.
The remaining books are adventure books.
How many of the AR books are adventure
books?

Answers

Answer:

10

Step-by-step explanation:

1/8 of 16 is 2

1/4 of 16 is 4

2+4=6

16-6=10

PLEASE GIVE ALL RIGHT
A female hippopotamus can weigh 48,000 ounces. How many tons can a female hippopotamus weigh?



__ tons

Give total of tons correctly

Answers

The answer is 1.5 tons

What is the value of 5.7 x 1089

Answers

Answer:

570,000,000 is the answer hope this helps ^^

Step-by-step explanation:

Answer:

6,207.3

Step-by-step explanation:

=> 5.7 x 1089

multiply 1089 by 5.{=[tex]6,207.3[/tex]

7. A student is paid K50 for each day he works and fined K25 for each day he failst work. After 20 days, he is paid K700. For how many days has he worked?​

Answers

Answer:

14

Step-by-step explanation:

The student is paid K50 each day so after 20 days they should have K1000 but he is paid K700 which means they missed some days of work.

So we divide K700 by K50 which then gives us 14, therefore the student worked 14 days out of 20.

11. The smaller the
absolute value of a
the
negative number, the
number is.
A larger

B smaller

C farther from zero

Answers

Answer:

B. Smaller

Step-by-step explanation:

This is because absolute value doesn't matter about negative or positive

Х
Area of a circle
You might need: Calculator
What is the area of the following circle?
Either enter an exact answer in terms of " or use 3.14 for # and enter your answer as a decimal.
d=14
units?

Answers

Answer:

153.86 units^2

Step-by-step explanation:

the area of a circle = pi * r^2

To find r, divide the diameter in half.

14/2 = 7

Now, area = pi * 7^2

= pi * 49

= 153.86

hope this helps!

Answer:

153.94 square units

Step-by-step explanation:

d=14 units

r=d/2

=14/2

=7 units

Area of a circle=math.pi x r^2

=3.14 x (7)^2

What would be the answer of 5(x-2)=30 in dustributive property

Answers

Answer:

x = 8

Step-by-step explanation:

5(x-2)=30

Distribute

5x- 10 = 30

Add 10 to each side

5x-10+10 = 30+10

5x= 40

Divide by 5

5x/5=40/5

x = 8

Answer:

x=

Step-by-step explanation:

using distributive property, you multiply 5 by x and by 2, which gets you 5x and 10

5(x-2)=30

5x-10=30

5x=40

x=8

What are the answers??

Answers

Answer:

1. $180

$43,187

$23,187

2. $335

$100,703

$60,703

3. $341

$81,798

$41,798

I'm doing a project for math where I have to come up with a real-life story problem using the Pythagorean theorem. I need to write a story problem of finding a leg.

Please help me
I'll give brainiest

Answers

Answer:

One of the sails on your ship is a right triangle and your friend, the one who made the sail, had forgotten one of the legs but tells you that the height is 4ft and the hypotenuse of the sail is 5ft. What is the missing leg?

Step-by-step explanation:

If JM = 5x – 8 and LM = 2x – 6, which expression represents JL?

Answers

Answer:

The green line is LM

The red line is JM

The blue point is at the coordinates (2/3, -14/3)

Step-by-step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.

Answers

The slope would be -1/2

help plss help me find the awnser ​

Answers

Answer:

3) D

5) C

3) 6m+5n-m --> 6(5)+5(3)-(5)

                          30+15-5 --> 45-5 --> 40

5) 4(x+4)+2

   4x + 16 +2

   4x +18

Answer:

3)

Given:

m = 5

n = 3

We plug in these values into our equation (6m + 5n - m);

6m + 5n - m

Now modified, would be:

6(5) + 5(3) - 5

30 + 15 - 5

45 - 5

= 40

5)

If we simplify this expression,

4(x + 4) + 2

We use the distributive property to multiply 4 to both x and 4 which are in the brackets.

Which will now be;

4x + 16 + 2

Now we combine like terms (our constants):

(16 + 2) = 18

So it would be, now:-

4x + 18, C is your answer.

factorise fullythe following

7x^3-35x
4x^3+24x^2

Answers

Answer:

[tex]7x(x^2-5)[/tex]

Step-by-step explanation:

[tex]7x^3-35x[/tex]

Factor Greatest Common Factors out

[tex]7x(x^2-5)[/tex]

I hope this helps you

:)

Can you answer this one please

Answers

Answer: x = 8

Step-by-step explanation:

2 inches = 3 feet

x inches = 12 feet

[tex] \bf \frac{2}{3} = \frac{x}{12} \\ \\ \bf 3 \cdot x = 2 \cdot 12 \\ \\ \bf 3 \cdot x = 24 \\ \\ \bf x = \frac{24}{3} \Rightarrow \green{ \boxed{ \bf x = 8} } [/tex]

Answer:

[tex] \bf \boxed {x=8} [/tex]

Step py step explanation:

2 inces ........ 3 feet

x inces ......... 12 feet

⇒ x = 12 • 2 /3

x = 24/3

x = 8

______

slope of the line that contains (-8,2) , (7,-4)

Answers

Answer:

[tex]\mathsf{slope=-\dfrac25}[/tex]

Step-by-step explanation:

[tex]\mathsf{let \ (x_1,y_1)=(-8,2)}[/tex]

[tex]\mathsf{let \ (x_2,y_2)=(7,-4)}[/tex]

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\implies \mathsf{slope=\dfrac{-4-2}{7--8}=-\dfrac25}[/tex]

Answer:

-2/5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-2)/(7-(-8))

m=-6/(7+8)

m=-6/15

simplify

m=-2/5

What is the length of b in the triangle?

Answers

Answer:

8 in

Step-by-step explanation:

[tex]b=\sqrt{10^2-6^2}=\sqrt{100-36}=\sqrt{64} = 8[/tex]

The equation y=-3x² describes a parabola. Which way does the parabola open?

A. Left
B. Right
C. Up
D. Down

Answers

D. Down should be correct

120 eggs from 20 chicken

Answers

Answer:

10 eggs per chicken

Step-by-step explanation:

if you divide you get 10 eggs per

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