1 Serek is showing how to model the area

formula of a triangle

1) Original triangle

2) Create a congruent triangle.

Rotate it then join it to the original

triangle, forming a parallelogram.

3) Decompose the parallelogram

into a right triangle and a trapezoid.

4) Rearrange the triangle and

trapezoid to form a rectangle.

Which of these steps will identify the area

of the original triangle?

A Find the total area of the trapezoid

B Find half the area of the rectangle

C Find half the area of the trapezoid

D Find the area of the shaded triangle

5.80

Answers

Answer 1

Answer:

Find half the area of the rectangle

Step-by-step explanation:

Given

See attachment for the Serek's steps

Required

Which can be used to determine the area of the original triangle

To do this, we simply analyze each step.

At step 2, where he joined two congruent triangles to form a parallelogram.

Half the area of the parallelogram will give the area of the original triangle (since both triangles are equal)

At step 3, where he decomposed the parallelogram to a trapezoid and a right triangle.

Half the sum of the areas of the resulting shapes (trapezoid and right triangle) will equal to the area of the original triangle but half the area of each shape will not amount to the area of the original triangle

At step 4, where the right triangle and the trapezoid are merged to form a rectangle.

The area of the rectangle will equal to the area of the parallelogram in step (2).

So, half the area of the rectangle will equal to the area of the triangle.

Hence, (b) is correct

1 Serek Is Showing How To Model The Areaformula Of A Triangle1) Original Triangle2) Create A Congruent

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Answer:

$3

Step-by-step explanation:

6 x $2 = $12

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Step-by-step explanation:

At what rate percent will the interest on Rs. 6300 in 10 years be equal to its principal?​

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Answer:

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Answer:

a.) 13 students

b.) 53 members

Step-by-step explanation:

a.) In the given equation of y=4x+13, "x" represents how many years have gone by since the club had started. The number "13" in this equation represents the y-intercept, or the value of "y" when x = 0. Therefore, when "x" is 0 years, there were 13 students in the clubs, meaning that the original group that started the club contained 13 students.

b.) Since the question asks how many members that the club will have after their tenth year and you already know that "x" in the equation y=4x+13 represents the number of years since the club started, all you have to do is plug 10 in for "x" in the equation; so, the equation will now look like this: y=4(10)+13. Keeping PEMDAS in mind, you first multiply 4 and 10 to get 40, and then you add 13 to get an answer of 53 members after year 10.

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Answers

Answer:

B

Step-by-step explanation:

Philip rode less than her so immediately you subtract which cancels answers a and d.

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A shipping container is in the shape of a right rectangular prism with a length of 7.5
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Answer:

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Step-by-step explanation:

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Broderick needs to solve the formula below for r. Which correctly describes the first step he should take?

Answers

The first step to solve for r is (J) He should divide both sides of the equation by π.

How to solve the formula for r?

The equation is given as:

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Divide both sides of the equation by π.

So, we have:

r^2 = A/π

Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.

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Answer:

Solution given:

now

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by using Pythagoras law

p²+b²=h²

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

340.17 ft.

Step-by-step explanation:

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Therefore, the area of this circular cone is 340.17 ft.

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Answers

Answer:

[tex]\frac{-2}{x+1}[/tex]

Step-by-step explanation:

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Miguel does 150 lunges and 120 pushups each week. Which statement is true about the ratio of lunges to pushups?
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A boat leaves the dock and travels 9 miles due south, then 12 miles due west.
How far is the boat from the dock?
Dock
9 mi
Boat
12 mi
A. 15 mi
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Answers

The answer would be A. 15mi

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What is Pythagoras's Theorem?

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[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

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A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

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Answer:

hope this helps you. look it once

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Answer:

53.4.......

follow me........


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Answers

Answer:

Step-by-step explanation:

time=1 years

interest=principal*time*rate/100

=8000*1*8/100

=64000/100

=640

therefore interest=640

Answer:

Compound Interest = 9680

Step-by-step explanation:

The formula of Compound Interest: [tex]A = P(1 + \frac{r}{n} )^n^t[/tex]

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r = Rate of interest

n = amount of deposite annually

t = total time

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[tex]A = 8000(1 + 0.08)^2^.^5[/tex]

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Answers

Answer:

x = 20

Step-by-step explanation:

The angle of c is 46°
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Answers

Sq:

6*6=36

RG:

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(01.02 MC)Which of the following correctly uses absolute value to show the distance between -50 and 12?
OT-50 - 12| = |-62] = -62 units
OT-50 + 12 = 1-38= 38 units
OT-50 + 12 = 1-38] = -38 units
OT-50 - 12| = |-62] = 62 units

Plz help

Answers

Answer: Choice D

|-50-12| = |-62| = 62 units

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

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

-------------------

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

-------------------

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

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Answer:

F

Step-by-step explanation:

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I need help with this!

Answers

Answer:

A)  21d + 48 = 426

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if the x is the like repeating one, then its the 21 per day, see it has per in it

for the 48, its just additional so we put it equal to 426 since thats the total amount giving us the equation

21d + 48 = 426

21d = 378

d= 18

it took 18 days

621,584 round to the nearest ten

Answers

Answer:

621,580

and i have to add at least 20 characters so how is everyone’s day?

Answer:

621,580

Step-by-step explanation:

nearest 10 means finding which 10 they are nearest to. and 84 is rounded to 80 because the number is not 85 or higher if that makes sense.

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