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Answer:

  m∠ABC = 81°

  m∠FEC = 90°

Step-by-step explanation:

The median BE of isosceles triangle ABC is also an altitude and the angle bisector of ∠ABC. This means ...

  m∠ABC = 2×m∠ABE = 2(40°30')

  m∠ABC = 81°

It also means that all of the angles at the intersection of BF and AC are right angles, so ...

  m∠FEC = 90°

Answer: ummmmmm bow tie cinamas

Step-by-step explanation: yw:))

Answer:

9 inches; 4.5 inches.

Step-by-step explanation:

Given the following data;

Length of sides of the equilateral triangle = 1.4x + 2 inches.

Length of sides of the hexagon = 0.5x + 2 inches.

We know that the perimeter of a hexagon is given by the formula;

P = 6 * length of sides

Substituting into the equation, we have;

P = 6*(0.5x + 2)

P = 3x + 12

Perimeter of an equilateral triangle is given by the formula;

P = 3 * length of sides

Substituting into the equation, we have;

P = 3(1.4x + 2)

P = 4.2x + 6

Since perimeter of hexagon = perimeter of equilateral triangle. Therefore;

3x + 12 = 4.2x + 6

Rearranging the equation, we have;

12 - 6 = 4.2x - 3x

6 = 1.2x

x = 6/1.2

x = 5

I. To find the length of each sides of the equilateral triangle;

Length of a side = 1.4x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 1.4*(5) + 2

Length of sides = 7 + 2

Length of sides = 9 inches.

II. To find the length of each sides of the hexagon;

Length of sides = 0.5x + 2

Substituting the value of "x" into the equation, we have;

Length of sides = 0.5*(5) + 2

Length of sides = 2.5 + 2

Length of sides = 4.5 inches.

The side length of the equilateral triangle 9 inches.

The side length of the hexagon 4.5 inches.

The side length of the equilateral triangle = 1.4x + 2

So, the perimeter = 3(1.4x + 2) = 4.2x + 6.

The side length of the hexagon = 0.5x + 2

So, the perimeter = 6(0.5x + 2) = 3x + 12.

Given tha the perimeters are equal.

So,

[tex]4.2x+6=3x+12\\4.2x-3x=12-6\\1.2x=6\\x=5[/tex]

Hence,

The side length of the equilateral triangle = 1.4x + 2 = 1.4(5) + 2 = 9

The side length of the hexagon = 0.5x + 2 = 0.5(5) + 2 = 4.5

Learn more: https://brainly.com/question/13532036

Answer:

40070

Step-by-step explanation:

Answer:

the second one

Step-by-step explanation:

Answer:

Answer A

Step-by-step explanation:

3 parts ginger ale to 2 parts raspberry juice

Answer:

x = 0, y = 2

Step-by-step explanation:

We can use substitution method to substitute 2y into 2x + 2y = 4.

-x + 2y = 4

2y = 4 + x --- Equation 1

2x + 2y = 4 --- Equation 2

Substitute Equation 1 into Equation 2:

2x + 2y = 4

2x + 4 + x = 4

3x + 4 = 4

Isolate 3x.

3x = 4-4

    = 0

Find x.

x = 0 ÷ 3

x = 0

Substitute x = 0 into Equation 1:

2y = 4 + x

2y = 4 + 0

    = 4

Find y.

y = 4 ÷ 2

y = 2

Answer:

if I'm correct, it should be 6.125. I'm sorry if I'm wrong,

Step-by-step explanation:

take 3.5 and divide it by 4, which gives you the amount for 1 lemon. times that by 7, and you get 6.125

Answer:

8 lemons

Step-by-step explanation:

7- 3.5= 3.5

Therefore we multiple 3.5 by 2.

We always do the same on the other side.

4 times 2 equals 8

7 liters of water: 8 lemons

Answer:

Step-by-step explanation:

The right statistical procedure is by applying a hypothesis test that uses a single mean. Here, if we are to talk about comparison, it should be between the mean IQ of the students in the class and the national average IQ. The class is not for a comparison between two population means because it is viewed as the sample of the population. That is to say, the required task is to determine if the sample mean is greater than the population mean. We can conclude that this obeys a hypothesis test rather than a confidence interval.

Answer:

6.28 or 7

Step-by-step explanation:

you have to time pie x inches

pie x inches

3.14 x 2

=6.28 rounded up 7

Answer:

In algebra, a quadratic equation (from the Latin quadratus for "square") is any equation that can be rearranged in standard form as ax^2+bx+c-0 where x represents an unknown, and a, b, and c represent known numbers, where a ≠ 0. If a .0, then the equation is linear, not quadratic, as there is no ax^2 term. The numbers a, b, and c are the coefficients of the equation and may be distinguished by calling them, respectively, the quadratic coefficient, the linear coefficient and the constant or free term.

Step-by-step explanation:

Good Question I just had a class about it 10 minutes ago such a coincidence! :)

Answer:

ax^2+bx+c=0

Explanation:

This is the typical style of a quadratic equation to be in. The only varieties there would be within the pronumerals used.

Answer: His MPH is 40

Step-by-step explanation: 100/2.75 = 40. Converting the fraction to decimal form makes this problem much easier.

Step-by-step explanation:

-1 - root3

The value of the given expression 2cos2(105⁰) − 1 is,

⇒ - 1 - √3

A right-angled triangle's angle can be related to side length ratios using trigonometric functions, which are real functions in mathematics. They are extensively used in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many others.

We have to find the value of;

⇒ 2cos2(105⁰) − 1

Now, We can Plug 105° = θ

So, the expression becomes,

⇒ 2cos2θ - 1

Using the formula;

cos2θ = 1 - 2sin^2θ

We get;

⇒ 2cos2θ - 1 = 2(1-2sin^2θ) - 1

                    = 2 - 4sin^2θ - 1

⇒ 2cos2θ - 1 = 1 - 4sin^2θ

Now, Again plug θ = 105°

⇒ 2cos2(105°) - 1  = 1 - 4sin¹⁰⁵

⇒ 2cos2(105°) - 1  = -1 - √3

Hence, The value of the given expression is,

⇒ (-1 - √3)

Learn more about trigonometric function visit:

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Answer:

$168.56

Step-by-step explanation:

Answer:168.56

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2/3×24=16

2/1×8=16

Answer:

f(x)=-5x+1

Step-by-step explanation:

I hope this answer works for you!. but I am not completely confident in it.

Answer:

y = 4000/x²

Step-by-step explanation:

The volume of the building is expressed as;

V = x²y where;

x is the length and width of the base.

y is the height of the building

Given

Volume V = 4000m³

Substitute the given volume into the equation as shown;

4000 = x²y

Make y the subject of the formula by dividing both sides by x²

4000/x² = x²y/x²

4000/x² = y

Rearrange

y = 4000/x²

Hence equation for y, the height of the building, in terms of x, the length and width of the base is expressed as y = 4000/x²

Answer: False

Step-by-step explanation:

Hey there! 7b + 14b = 5 would equal 21b + 5 after you add 7b + 14b.

21b = 5 is false because it doesn't match with 5.

If the answer was true then it would be 5 = 5.

~I hope I helped :)~

Answer:

...........................................................

Step-by-step explanation:

The beach volleyball court, which accomodates teams of two players to each side, is slightly larger that its traditional counterpart, measuring 16 meters (52 feet, six inches) long and eight meters (26 feet, three inches) wide.

Answer:

t ≤ 4.5

Step-by-step explanation:

We are told that the goal is to walk at least 18 miles

She walks at a rate of 4 miles per hour, speed is 4mph

Required

the inequality for the time taken to walk the distance and the said speed

Step two:

we know that

speed= distance/time

time=distance/speed

substitute

time= 18/4

time= 4.5 hours

Time≤ 4.5 hours

Answer:

Without seeing the table I can't answer the question

Step-by-step explanation:

But if you take the number of Peaches and subtrqact the number of oranges will have your answer.

Answer:

She can buy 36

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

k=k

Answer:

did you figure out the answer I'm sorry they don't have a comment section on ur photo

Answer:

P(Gum) ≠ P(Gum/Cavity)

Step-by-step explanation:

Answer on Edge

Answer:

L'(6,8)

Step-by-step explanation:

If i had to take a guess what i would is subtract 4 from each x number and add 3 to each y number and then reflect over the line y=4 so then that would give me each distance. And by the looks it seems L'(6,8) is the farthest from he origin (0,0)

Answer:

the answer is option A why because its basiclly telling us that 1/3 and 2/3 are close to each other and they need to find the percent on how to get to the whole number in this case is 1

Step-by-step explanation:

Answer  A you welcome

Step-by-step explanation:

Since f(x) is 43 you would replace it for the f(x) in the bottom equation like this 43=-6×+7 then you would multiply the left side so now it would be 43=-42 and this a no solution.