Two congruent triangles fit together to form a parallelogram with a base of 14 inches and a height of 10 inches. What is the area of each triangle?

Answers

Answer 1

To find the answer you will find the area of the parallelogram by multpltig the base (14 in) by the height (10 in).

After this you will divide the answer of 140 square inches by 2 because the area each congruent triangle would be half of the total area.

The answer is 70 square inches for each triangle.

Answer 2

Final answer:

The area of each triangle is 140 square inches.

Explanation:

The area of a triangle is given by the formula A = ½ × base × height.

In this case, the base of the parallelogram is 14 inches and the height is 10 inches.

Since two congruent triangles form the parallelogram, we can consider one of the triangles.

Let's call the base of the triangle 'b' and the height 'h'.

We have the equation A = ½ × b × h = 14 × 10 = 140 square inches.

Therefore, the area of each triangle is 140 square inches.

Related Questions

Explain how to write a word problem to match the inequality d < 120. Demonstrate with an example.

Answers

So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.
You could accomplish this with a budget, like
D is how much money you plan to spend, but you only have 120 dollars
Something like that

Answer:

So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.

Step-by-step explanation:

Help needed please and thank you!

Answers

To solve this problem, we use the formula given, which states that SA=6s^2, where SA is the surface area and s is the edge length of the cube.

We were given that the edge length of the cube is 3 1/2 feet, and that we are trying to find the surface area of the cube, so let’s plug these values into our formula.

SA=6(3 1/2)^2
To make this easier to simplify, we are going to replace 3 1/2 with its equal improper fraction, 7/2.
SA=6(7/2)^2
Now, following the order of operations, we are going to simplify what is inside the parenthesis by squaring it.
SA=6(49/4)
Now, we are going to multiply our last two terms together, to get:
SA= 294/4
This number simplifies to 147/2 when we divide both the numerator and denominator by their greatest common factor of 2.
However, the problem asks for your answer as a mixed number in simplest form, which we get when we divide out this improper fraction.
Your final answer is 73 1/2 ft^2.

I hope this helps!

Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram?
96 in²
288 in²
352 in²
384 in²

Answers

⓵ To calculate the area of a parallelogram, the formula is base times height, just like the formula for the area of a rectangle! Why? Because if you look closely, every parallelogram can be made into a rectangle just by moving one of the triangle parts of it.

⓶ Now that we know that the formula to calculate the area of a parallelogram is :
A = b × h

You need to find the numbers to replace the base and the height in the formula!

We already know that the height is : 12 in.

So we are left with a formula looking like this :

A = b × 12 in.

⓷ Now we need to find the base! To do so, you need to add the height of the rectangle (which is 8 in.) to the height of one of the triangle (which is 16 in.) :

8 in. + 16 in. = b

↓

8 in. + 16 in. = 24 in.

↓

24 in. = b

So we are left with a formula looking like this:

A = 24 in. × 12 in.

⓸ All there’s left to do now, is calculate the area of the parallelogram using the formula :

A = 24 in. × 12 in.

↓

24 in. × 12 in. = 288 in.²

↓

A = 288 in.²

So your final answer is : the area of this parallelogram is ↠ 288 in.²

I really hope this helped, if there’s anything just let me know! ☻

288 would be your Answer hope this helps

Find the vertex and x-intercepts for 39x^2+38x+8.

Answers

vertex:(-19/39,-49/39)
x-int: (-4/13,0) and (-2/3,0)

Suppose your heart is beating 72 times per minute. At this rate, how many times will it beat in 15 minutes?

Answers

Hey there!

All you need to do is multiply the beats per minute by 15 minutes.
72 x 15=1080. Your heart will beat 1080 times in 15 minutes.

I hope this helps!

Which expression is equivalent to 12(2+3x−6) ?

3x−4

32x−5

3x−5

32x−2

Answers

Simplify: 12(2 + 3x - 6)
= (12)(2 + 3x + - 6) = (12)(2) + (12)(3x) + (12)( - 6)
= 24 + 36x - 72
Answer = 36x - 48

2: Factor:

36x - 48
= 12(3x -4)

Answer
= 12(3x -4)

3: 12(2+3x−6)

= 12(3x + 2 - 6)

= 12(3x - 4)

Your Answer would be (A).

3x - 4

Answer:

A. 3X-4

Step-by-step explanation:

there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?

Answers

Answer: The input variable is the number of days since September 9th.. The unit for the input variable is single days.

When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.

If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.

what is the order from least to greatest for 5.934, 59/10, 5 8/9, 5.94

Answers

5 8/9, 59/10, 5.934, 5.94 are the solutions from least to greatest.

rewrite using parentheses to make each statement true

a: 42 + 12 ÷ 6 = 9

b: 33 - 14 1/2 + 3 1/2 = 15

c: 32 ÷ 8 x 2 = 2

all i need to know is where parentheses go.

Answers

a. (42+12)

b. (14 1/2 + 3 1/2)

c. (8 x 2)

A. (42 + 12) ÷ 6 = 9
B. 33 - (14 1/2 + 3 1/2) = 15
C.32 ÷ (8 X 2) = 2

A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and $0.04 per item of product B. If the total shipping cost is $352, which system of equations can be used to determine how much of product A and product B the store owner bought?

Answers

x + y = 4,000
0.1x + 0.04y = 352

Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought.

It's C: x+y=4,000 and 0,1x+0.04y=352

Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.

Answers

No.

0.5/0.125 = 4 . . . . . 1 dp divided by 3 dp

Answer:

NO. They do not have to be equal

Step-by-step explanation:

A whole number takes place when two conditions are satisfied:

1. The numerator or the dividend is greater than the divisor.

For example, when you divide 0.1 by 0.002.

The dividend 0.1 is greater than 0.002

2. The divisor is small than the dividend.

This rule is the same as one above.

for example:

the quotient x is given by [tex]\frac{1}{0.25}\\ = 4[/tex]

jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?

Answers

Hello,

Since Jamal is only paying for 7/10 of the asking price, we can multiply it by 0.7.

0.7 x 18950 = 13265

Now, we have to add on the tax, so we should multiply the new amount by 1.065.

13265 x 1.065 = 14127.23

Jamal's bill will be $14,127.23

Good luck,
MrEQ

Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(2.5, 1.5) , B′(1.5, 3.5) , and C′(0.5, 2) . The center of dilation is the origin.

What is the scale factor of the dilation?

0.25

0.5

2

4

Answers

I believe the answer would be 0.5

Hope this helps ;}

Answer: The correct answer is (B) 0.5.

Step-by-step explanation: Given that A(5, 3) , B(3, 7) and C(1, 4) are the vertices of ΔABC and A′(2.5, 1.5) , B′(1.5, 3.5) and C′(0.5, 2) are the vertices of ΔA'B'C'.

We are to find the scale factor of the dilation of the centre of dilation is origin.

We know that the scale factor of dilation is given by the following formula:

[tex]S_c=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.[/tex]

We can calculate the lengths of the corresponding sides AB and A'B' of ΔABC and ΔA'B'C' respectively using distance formula as follows:

[tex]AB=\sqrt{(3-5)^2+(7-3)^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt5,\\\\A'B'=\sqrt{(1.5-2.5)^2+(3.5-1.5)^2}=\sqrt{1+4}=\sqrt{5}.[/tex]

Therefore, the scale factor for the dilation is given by

[tex]S_c=\dfrac{A'B'}{AB}=\dfrac{\sqrt5}{2\sqrt5}=\dfrac{1}{2}=0.5.[/tex]

Thus, the required scale factor is (B) 0.5.

A flagpole is 4meters tall how many centimeters tall is the flagpole

Answers

1 meter = 100 centimeters therefore,
4 meters = 400 centimeters

Find the slope.
1.) (-4, -18), (-2, -10)
2.) (-19, 3), (7, 16)

Answers

To find the slope, use rise over run.

1) The difference between x values is 2. This is the run.
The difference between y values is 8. This is the rise.
8 over 2, or 8 divided by 2, is 4. The slope is 4.

1) The difference between x values is 26. This is the run.
The difference between y values is 13. This is the rise.
13 over 26, or 13 divided by 26, is 1/2. The slope is 1/2.

Hope this helps!

if 5 bags cost $255.35 how much would 2 bags cost

Answers

The answer would be $102.14 if you divide 255.35 by 5 then multiply it by 2, you'll get 102.14
255.35 divided by 5 = 51.07 x 2 = 102.14

Hope this helps! ;)

Answer:

yes 102.14

Step-by-step explanation:

r+3.2=6.1
What is the value of r? Show work

Answers

Hello,

The answer is 2.9.

Reason:

Solve this two ways:

1. You could be just regularly solving the question but subtracting 6.1 to 3.2.

6.1-3.2=2.9

2. Or you could be solving variable.

Subtract 3.2 on both sides:

6.1-3.2=2.9

r=2.9

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

The answer is r = 2.9

Brainliest pts pls

In Ms. K’s class, 75% of the students are the boys. There are 18 boys in the class. How many students are in the class?

Answers

So 75% = 3/4
and there is 18 boys. what you do is divide 18 by 3 to get 6
and then you multiply; 6 x 4 = 24 students

which numbers have exactly 2 factors

Answers

Prime numbers, I’m sure, have only two factors.

2 is 1 and 2
3 is 1 and 3

I really need the answer I’ve been stuck on this all day

Answers

the last option since u need to multiply 3 to the other side and divide everything else

[tex]V = \frac{1}{3} lwh \\ 3V = lwh \\ w = \frac{3V}{lh} [/tex]

Those are the steps on how to answer your problem

Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.

Answers

The answer is either 3+x=12 or 3x=12

The equation is p + 3 = 12

Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...

a(1)=
a(n)=

Answers

The recursive formula would be:
[tex]a_1=10 \\a_{n}=a_{n-1} \times (-8)[/tex]

This is because the first term, a₁, is 10. A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio. The common ratio, or the number that each term is multiplied by, is -8.

Answer:

The value is:

a(1)=10 and a(n)=(-8)×a(n-1)

Step-by-step explanation:

We are given a sequence as:

10, -80 , 640 , -5120 ,.........

since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.

Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.

a(1)=10

Also a(n)=(-8)×a(n-1)

since a(1)=10

a(2)=(-8)×10=-80

a(3)=(-8)×(-80)=640

a(4)=(-8)×640=-5120

and so on.

Hence the answer is:

a(1)=10 and a(n)=(-8)×a(n-1)

Can someone please help me with 2,3,4

Answers

2. (3) - eye color is non-numerical (blue, green, gray, brown, and so on)

3. (2) - mean is the best measure, because the problem statement tells you that you want to compare "the average amount of time". You could argue that the median might more fairly represent a "typical" time spent exercising, but that is not what the question tells you to compare.

4. (4) 0.90. The data has a positive slope, so r > 0. It falls close to a line, so the correlation is closer to 1 than to 0.

what is this plzz need help for math homework it is very hard

Answers

For the total length of the five rods in terms of a is L = 15a.

The formula for the Total Length of Five Rods

Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:

First rod: a

Second rod: 2a

Third rod: 3a

Fourth rod: 4a

Fifth rod: 5a

Now, to find the total length (L), add up the lengths of all the rods:

L = a + 2a + 3a + 4a + 5a

Combine like terms:

L = (1 + 2 + 3 + 4 + 5) · a

The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:

L = 5 · 6/2 · a

Simplify the expression:

L = 15a

So, the formula for the total length L in terms of a is L = 15a.

The complete question is:

Here are five straight rods.

All measurements are in centimeters.

The total length of the five rods is L" " cm.

Find a formula for L in terms of a.

Write your formula as simply as possible.

whoever answers first gets a brainliest . thanks

Answers

To find the number less than x you have to subtract with the larger number .
8.0-2.5 = 5.5
Find the number that greater than x you have to add those to number
8.0+2.5 = 10.5
So
5.5

8<x<10.5
because it is longer than 8 but if you add the 2.5 to it it is shorter than 10.5

This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.

Answers

Answer:
y = 7

Explanation:
The first given equation is:
y = x² - 3x + 7 ...........> equation I
The second given equation is:
y = 3x - 2 ..............> equation II

Substitute with equation I in equation II and solve for x as follows:
y = 3x - 2
x² - 3x + 7 = 3x - 2
x² - 3x + 7 - 3x + 2 = 0
x² - 6x + 9 = 0
(x-3)² = 0
This means that:
x = 3

Now, substitute with the value of x in equation II to get the y as follows:
y = 3x - 2
y = 3(3) - 2
y = 7

Hope this helps :)

Kim and her 5 friends hiked over a three day weekend hey hiked the same distance each day how many miles did they hike per day?

Answers

Honestly, this would depend how many miles they hiked all together. then you divide it by 3. Until you have the total amount, you don't get a correct answer.

Answer:

Step-by-step explanation:

The constant of proportionality between the circumference and _______ of a circle is equal to π which means that for any given circle, the length around the circle _______ by its diameter is a little over _______ , or more exactly π

Blank 1: Diameter or radius

Blank 2: Divided or multiplied

Blank 3: 4, 3, or 5
PLEASE ANSWER ASAP

Answers

blank 1= diameter
blank 2 =multiplied
blank 3=3.
Hope this helped!
Sorry couldn't answer faster i didn't see this question.
Mark me as brainliest Please!!!

The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week.

Select from the drop-down menus to complete each statement.

Answers

What drop down menus

the drop down menu is: The range A) Greater for the boys, B) greater for the girls or C) it's the same for both set of data.
The second drop down menu is: The mean A) Greater for the boys, B) greater for the girls or C) it's the same for both set of data.

The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81

Answers

the answer would be c or (B) 0.81

The answer is C. Hope i helped.

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