Consider the original triangle and the reduction. A triangle has a base a and height 8 centimeters. Another triangle has a base of 3 centimeters and height of 4 centimeters. What is the length of side a in centimeters? one-sixth one-half 2 6.

Answers

Answer 1

So, the length of triangle side a in centimeters is 6.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

We can use the fact that the ratio of corresponding sides in similar figures is constant to solve this problem.

Since the two triangles are similar, we know that the ratio of their sides is constant. Letting x represent the length of side a in centimeters, we have

(a/3) = (8/4)

We can solve this equation by multiplying both sides by 3 to get

a = (8/4) * 3

= 6

Therefore, the length of side a in centimeters is 6.

The answer is therefore 6.

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Answer 2

Since the two triangles are similar, we know that the ratio of their sides is constant. Letting x represent the length of side a in centimeters, we have

(a/3) = (8/4)

We can solve this equation by multiplying both sides by 3 to get

a = (8/4) * 3

= 6

Therefore, the length of side a in centimeters is 6.

The answer is therefore 6.


Related Questions

solve this for me plzzzz and thxxx

Answers

if i am correct the answer should be (6, 6)

x + 1/4 = 5/6
solve the equation for x

Answers

Answer:

x =7/12

Step-by-step explanation:

x + 1/4 = 5/6

start subtract 1/4 from both sides of the equation which will move the -1/4 to the other side to get X by itself

x=5/6 - 1/4

find common denominator, which is 12

x=10/12 - 3/12

solve by subtacting

x=7/12

The answer is x=7/12!!

If the length of an arc of measure 55 degrees is 3.87 inches find the circumference of the circle

Answers

Answer:

25.33 is the circumference of the circle

Step-by-step explanation:

Here, given the measure of the arc, we want to get the circumference of the circle

mathematically, the length of an arc can be calculated using the formula;

theta/360 * 2 * pi* r

where 2 * pi * r = circumference of the circle

theta is the angle subtended at the center which is 55 degrees in this case

Thus, we have ;

55/360 * 2 * pi * r = 3.87

2 * pi * r = (3.87 * 360)/55

2 * pi * r = 25.33 inches

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Answers

Line NM is 9 and the measure of angle MLN is 58 degrees. This is because both triangles are equal in length, size, and angle measures. The triangle to the right is just rotated and reflected.
Since the triangle is congruent the angles equal each other.
Angles:
P=N
Q=M
R=L
Which means line segment NM is equal to PQ (9 units)
Angle MLN is equal to angle QRP (58 degrees)

If abc avw find the values of x and y

Answers

Answer:

x=7.2 y=7.5 this is the answer

5. What is the slant height of a right pyramid whose
lateral area is 90 ft- and whose base is a regular
hexagon with a 3 ft side?
A. 3 ft
B. 10 ft
C. 30 ft
D. 270 ft

Answers

I think it’s D. 270 ft

Ms. Ruiz has a piece of fabric that is 3 3/4 yards long. She waves to cut it into 12 equal pieces. How many yards will each piece of fabric be

Answers

Answer:

the number of yards be 0.3125

Step-by-step explanation:

The computation of the number of yards will each piece of fabric be is shown below:

Given that

There is [tex]3 \frac{3}{4}[/tex] yards long i.e. 15 ÷ 4

And, it should be cut into 12 equal pieces

So, the number of yards   will each piece of fabric be is

= 15 ÷ 4 ÷ 12 ÷ 1

= 15 ÷ 48

= 0.3125

Hence, the number of yards be 0.3125

Answer:

5/16

Step-by-step explanation:

3 3/4= 13/4

13/4 ÷ 12= 0.3125

0.3125 = 5/16

PLEASE HELP I NEED THIS QUICK IMAGE ATTATCHED
label the answers please! like with either letter/numbers
ex.) 1. ( The answer to 1.)
2. (The answer to 2.)
Thankyou!

Answers

Answer: 3x+5, (3x+5)*3 and 5x+4x+15

Step-by-step explanation:

Answer: I think the first one is 3x+5 since it’s a triangle, just divide it by 3 for one side.

5- 3x+5(3) and (6x+10) +(3x+5)

6- they’re equivalent because if you multiply each value for the first equation by 3, you get the original equation, the second is equal at because 6x+10 is equal to 2 sides while 3x+5 is still equal to one, so adding thos together would still give you the original equation, I’m sorry if this is wrong.

Step-by-step explanation:

Find the value of the variable.
8
4
6
y =

Answers

9514 1404 393

Answer:

  y = 12

Step-by-step explanation:

The angle bisector divides the sides proportionally.

  y/6 = 8/4

  y = 6·8/4

  y = 12

Answer:

Solution :-

At first we know that

In a bisector

[tex] \sf \: a \times c = b \times d[/tex]

[tex] \bf \: 8 \times 6 = 4 \times y[/tex]

[tex] \bf \: 48 = 4y[/tex]

[tex] \bf \: y = \dfrac{48}{4} [/tex]

[tex] \bf \: y = 12[/tex]

Seth has some $1 bills and some $5 bills. In total he has 6 bills that are worth a total of $22. Write a system of equations and solve to find out how many $5 bills Seth has.

Answers

maybe 5+5+5+5+1+1 or (5x4)+(1+1) hope that helps!

If you see someone who is injured at a workplace, the first thing you should do is _____.
A) call 9-1-1 or your local emergency number
B) begin to administer first aid
C) check the scene for danger
D) try to discover what is wrong with the person
{ The correct answer is C just took the quiz.}

Answers

C. You should never enter an area if it is not safe. If you end up getting hurt, you can’t help anyone else.

Answer:

c

Step-by-step explanation:

Determine the number of solutions:
36 - 7x = -7(x - 5)

Answers

Answer:

There are no solutions to this equation.

Step-by-step explanation:

Answer:

5.0714285714

Step-by-step explanation:

check the photo

:)

PLEASEEE HELP I JUST NEED TO KNOW WHICH ONES ARE TRUE AND FALSE

Answers

Answer:

Step-by-step explanation:

1-true

2-false

3-true

4-false

answer this question for 50 points ​

Answers

Answer:

It should be b

Step-by-step explanation:

DONT CLICK LINKS THEY ARE TRY TO GET INFO FROM YOU THRY ARE LYING

Answers

Answer:

they try to hack you and steal information that others should not know!! always report them.

Step-by-step explanation:

Follow the Order of Operations to simplify each expression below. 2(9-6)2/18

Answers

Answer:

3

Step-by-step explanation:

Answer please..........

Answers

Answer:

[tex]x = ln(2 - 1) [/tex]

Please help me find the slope!!!!!

Answers

Answer:

Slope = 3/2 or [tex]1\frac{1}{2}[/tex] or 1.5

Step-by-step explanation:

Points on graph: (0, 0) and (2, 3)

Slope:

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

m=(3-0)/(2-0)

m= 3/2

The difference of a number mand thirty is ten. How do you write this as a equation?

Answers

Answer: x - 30 = 10

Step-by-step explanation:

x - 30 = 10

x = 30 + 10

x= 40

A rectangular prism has a base area 56 ft.² and a volume of 840 ft.³ the length of the base is longer than the width if the sum of the length and the width of the base is equal to the height of the pyramid what is the length of the base in feet

Answers

Answer:

The length of the base in feet is 8 ft.

Step-by-step explanation:

The volume V of the rectangular prism is given by

V = l × w × h

But Area, A = l × w

∴ V = A × h

Where A is the base area and h is the height

From the question

A = 56 ft.²  and V = 840 ft.³

∴ 840 ft.³ = 56 ft.² × h

840 ft.³ / 56 ft.² = h

15 ft. = h

∴ h = 15 ft.

Hence, the height of the rectangular prism is 15 ft.

Also, from the question

the sum of the length and the width of the base is equal to the height

i.e l + w = h

where l is the length of the base and w is the width of the base

Then, l + w = 15 ------ (1)

Also, A = l × w

Then, 56 = l × w ------- (2)

From equation (1)

l + w = 15

Then, w = 15 - l ------- (3)

Substitute this into equation (2)

56 = l × w

56 = l × (15-l)

56 = 15l - l²

Then,

l²- 15l + 56 = 0

l² -8l -7l + 56 = 0

l(l - 8) -7(l - 8) = 0

(l - 7)(l - 8) = 0

l - 7 = 0 OR l - 8 = 0

∴ l = 7 OR l = 8

Substitute the values of l into equation (3)

w = 15 - l

when l = 7

w = 15 - 7

w = 8

and when l = 8

w = 15 - 8

w = 7

From the question, the length of the base is longer than the width

∴ l = 8 and w = 7

Hence, the length of the base in feet is 8 ft.

Gerald bought a computer on the installment plan. The price was $1,560. He paid $82 a month for 24 months. What is his total cost for the computer? O $1,560 O $1,680 O $1.724 O $1.968​

Answers

Answer:

$1,968

Step-by-step explanation:

If he paid $82 for 24 months when you mulitply 82 by 24 you get 1968. So the total computar was $1,968

Use the information below to respond to numbers 5,6,7 and 8.
Celeste was selling meal tickets for the holiday program at her school. The cost of a dinner ticket is
$10. She is also selling dessert tickets for $6. She lost track of how many of each ticket she sold;
however, she remembered that she was given 100 tickets and she collected $900.
The system of equations shown can be used to represent this situation:
S x + y = 100
(10x + 6y=900
5. What does the variable x represent in the system of equations? *
1 point
O A. The number of dinner tickets sold.
O B. The number of dessert tickets sold.
O C. The number of dollars collected for dinner tickets.
D. The number of dollars collected for dessert tickets.
O Other:

Answers

X is next to the number 10, so x would be the number of dinner tickets sold.

Rewrite x + y = 100 to x = 100-y

Now replace that in the 2nd equation:

10(100-y) + 6y = 900

Simplify:

1000 -10y + 6y = 900

Combine like terms:

1000 -4y = 900

Subtract 1000 from both sides

-4y = -100

Divide both sides by-4

Y = 25

Replace y in the first equation and solve for x

X + 25 = 100

X = 75

A) 75 dinner tickets were sold

B) 25 dessert tickets were sold

C) 75 x 10 = $750

D) 25 x 6 = $150

My someone pls help me

Answers

Answer:

No its not a proportion, the numerators can't be divided evenly

Step-by-step explanation:

answer answer answer answer

Answers

Answer:

[tex]12 \leqslant x < 26[/tex]

50 hundredths = ______ thousandths equals?

Answers

Answer:

50/100 = 500/1000 or alternatively .50 = .500

Answer:

500

Step-by-step explanation:

50 hundredths written in standard form is 0.50 .

**Adding zeroes to the end of a decimal does not change the value of the number.

1 hundredth = 0.01

1 thousandth = 0.001

So, if there are 50 hundredths, how many thousandths would there be?

The difference between hundredths and thousandths are the placement of the decimal point and how many decimal places there are after it. Hundredths have 2, while thousandths have 3.

Back to the example, 1 hundredth = 10 thousandths:

0.01 = 0.010

If there are 50 hundredths, that would mean that there are 10 times more thousandths in the same number.

0.50 = 0.500

50 hundredths = 500 thousandths

Confused!? Pls, help me correctly and quickly.

Answers

Answer:

The new figure would be 9 by 15

Step-by-step explanation:

The slope of the line that passes through the points on the graph of the function is

Answers

I do believe that this answer will Slope intercept

First answer is:

150

Second answer is:

B. Is is the common difference.

Not sure if i chose the right one?

Answers

Answer:

113.04 ft³ is correct

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex]πr²h ( r is the radius and h the height )

There are 2 cones to be summed one with h = 7 , the other with h = 5

Thus

V = [tex]\frac{1}{3}[/tex] π × 3² × 7 + [tex]\frac{1}{3}[/tex]π × 3² × 5

   = [tex]\frac{1}{3}[/tex] × 3.14 × 9 (7 + 5)

   = 3.14 × 3 × 12

   = 113.04 ft²

Ken ate half of his Takis. He gave 22 Takis to his best friend Moe. There are 38 Takis remaining in the bag. How many Takis were originally in the bag?

Answers

I don’t know is the answer to your question

Answer:

I don't really know its 9 servings tho but it doesn't explain how many are total im sorry

Step-by-step explanation:

find the slope of the line that passes through points (2,8) and (1,3)

Answers

Answer:

Slope is m = 5

Step-by-step explanation:

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