Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.

The two triangles above are similar. Find the value of x. Be sure to explain your steps.

Answers

Answer 1

Answer:

8

Step-by-step explanation:

We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.

Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side

4/10=x/20

Cross multiply: 10x=80

x=8

Answer 2

Answer:

x = 8 inches

Step-by-step explanation:

As the triangles are similar, their corresponding sides will have same ratio:

left short side /right short side = left long side / right long side

or simpler

s₁/s₂ = l₁/l₂

Substitute values to find the missing one:

4/x = 10/204/x = 1/2x = 4*2x = 8

The missing side is 8 inches long


Related Questions

Consider the triangle.
Which shows the order of the angles from smallest to largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C, angle A, angle B

Answers

Answer:

angle B, angle A, angle C

Step-by-step explanation:

solve the proportion
4/5 = x/15

Answers

Answer:

x = 12

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

hmmm it got deleted

x=12

Step-by-step explanation:

because 4/5 times 15 is 12

also, 5x=60

x=12

How is the general shape of a cube root function different from the shape of a square root function?

Answers

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

What is the cube root function?

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

Learn more about the function here:

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Add.
-7+ (-1) =
need asap

Answers

Answer:

The answer is -8

Nolan has some nickels and some dimes. He has no more than 19 coins worth no less than $1.30 combined. If Nolan has 5 nickels, determine all possible values for the number of dimes that he could have. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

Answers

Answer:

number of dimes 11 to 14

Step-by-step explanation:

given data

coin = 19

worth no less = $1.30

Nolan nickles = 5

solution

we convert 5 cent to dollars, it will be

5÷100 = $0.05

and

dime is worth 10 cents

so it will be 10 ÷ 100 = $0.1

so we consider here x as the number when nickels.

and we consider y as the number of dimes.

so here we can say

x + y ≤ 19      ..........................1

as here no less than $1.30 combined.

so

0.05 x + 0.1 y ≥ 1.3       ......................2

and

when Nolan has 5 nickels

put x = 5 in eq 1

5 + y ≤ 19  

y ≤ 19 - 5

y ≤ 14

and

now we put x = 5 in eq 2

0.05 × 5 + 0.1y ≥ 1.3

0.25 + 0.1y ≥ 1.3

0.1y ≥ 1.3 - 0.25

0.1y ≥ 1.05

y ≥ 10.5

so all possible values for the number of dimes 11 to 14

what's the length of line AB if point A is at (6,3 and point B is at (8,-8)

Answers

Answer:

Step-by-step explanation:

Solution,

Here,

A=(6,3) (x1,x2)

B=(8,-8) (y1,y2)

AB=?

Now,

(AB)^2=(x2-x1)^2+(y2-y1)^2

Now putting the value of x1,x2,y1,y2

=(3-6)^2+(-8+8)^2

= (-2)^2+(0)^2

= (-4,0)

AB=(-4,0)

Hope it helped you.

Plz mark me brainliest.

What's the value of the expression 10/12 + (- 8/9)

Answers

Answer: -1/18 im pretty sure

Step-by-step explanation: Find the exact value using trigonometric identities.

In a box of 80 glasses, 3 are broken.
Work out the percentage of broken glasses in the box.
(with the working pls )

Answers

Answer:

2.4 percent of the glass is broken because if three out of 80 glasses broke that would be how many

3 divided by 80 and then multiply by 100 to get a percentage, so:
3.75%

Simplify.

(x2+x−1)+(2x2−3x+9)

Answers

Answer:

32−2+8

Step-by-step explanation:

Eliminate redundant parentheses

thats the answer simplified

plzzzzzzzzzzzzzzzzzzzzzzzzzzz help me this so easy i just dumd



Write an equation for this relationship. if x represents the days and y represents the total cost.

Answers

Answer:

18.5

Step-by-step explanation:

Just add 18.5 and 55.50 and repeat with the other numbers

Answer:

x is 18.5

Step-by-step explanation:

3/55.50=18.5

same as all the others

Sheila leaves on a trip driving at 30 miles per hour. Two hours later, her sister Allison starts from the same location driving at 60 miles per hour. How long after Allison leaves home will she catch up to Sheila?


2 hours

4 hours

3 hours

5 hours

Answers

Answer:

2 hours

Step-by-step explanation:

2 hours

Pls give me BRAINLIEST

The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire? Please leave a detailed explanation of how you got your answer!! Thank You!

Answers

Answer:

22.91 inches

Step-by-step explanation:

circumference = 2πr

2πr = 72 inches

2 x [tex]\frac{22}{7}[/tex] x r = 72

[tex]\frac{44}{7}[/tex] x r = 72

Solving for r , divide both sides of the equation by 7/44

r = 11.454545 inches

diameter= 2 x radius

2 x 11.454545 inches = 22.91 inches

pls help! correct answer will get brainliest :)

Answers

Answer:

x = 31°

Step-by-step explanation:

triangle = 180°

-there is a right angle

180-90 = 90

90-59= 31

31+90+59 = 180

Answer:

[tex]x=31^{\circ},\\y=5[/tex]

Step-by-step explanation:

Since DB bisects [tex]\angle ABC[/tex], [tex]DC=DA[/tex]. Therefore, [tex]\fbox{$y=5$}[/tex].

From the isosceles base theorem, the measure of the angles adjacent to the congruent sides of an isosceles triangle are equal. Therefore, we can write the following equation:

[tex]2x+59+59=180,\\2x+118=180,\\2x=62,\\x=\fbox{$31^{\circ}$}[/tex].

Evaluate the expression for the given value of the variable.
29 + 5/6r
r = -1/2
find r

Answers

Hey there!

The solution to your question is

We simply plug the "r" value into the equation and solve:

29 + (5/6)(-1/2)

29 + -5/12

28 7/12

Hope it helps! Have an amazing day, and remember, You've got this!

(88÷1×2×5−9)+3×8 what does this make

Answers

Answer: 6992

Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)

Which is the net for this rectangular prism?

Answers

Answer:

probably c

Step-by-step explanation:

Help !!!
See question in image.
Please show workings .

Answers

Answer:

[tex]f(x) = 3 {x}^{2} \\ lim \: \frac{f(x + h) - f(x)}{h} \: \: when \: h - > 0 \\ lim \: \frac{3( x + h)^{2} - 3 {x}^{2} }{h} when \: h - > 0 \\ lim \: \frac{3( {x}^{2} + 2xh + {h}^{2}) - 3 {x}^{2} }{h} when \: h - > 0 \\ \\ lim \: \frac{3 {x}^{2} + 6xh + 3h^{2} - 3 {x}^{2} }{h} when \: h - > 0 \\ lim \: \frac{6xh + 3 {h}^{2} }{h} \: when \: h - > 0 \\lim \frac{6xh}{h} + \frac{3h^{2} }{h}when \: h - > 0 \\ lim \: 6x + 3h \: when \: h - > 0 \\ = 6x + 3(0) \\ = 6x + 0 \\ = 6x \\ \\ or \\ \frac{d(3x^{2}) }{dx} = 2 \times 3x^{2 - 1} \\ = 2 \times 3x^{1} \\ = 2 \times 3x \\ = 6x[/tex]

Question is in picture below

Answers

[tex]find \: lengh \: bc \: because \: find \: the \: base \: area \: \\ bc = ad \\ from \: ac = 15mm \\ ab = 12mm \\ from Pythagoras \: {c}^{2} = {a}^{2} + {b}^{2} \\ is \: {(ac)}^{2} = {(bc)}^{2} + {(ab)}^{2} \\ 15 ^{2} = {(bc)}^{2} + {12}^{2} \\ {(bc)}^{2} = 15^{2} - {12}^{2} \\ bc = \sqrt{{15}^{2} - {12}^{2} } \\ bc = \sqrt{225 - 144} \\ bc = \sqrt{81} \\ bc = 9 \: or \: - 9 \\ bc = 9 \\ base \: area \: = bc \: \times \: ab \\ = 9 \times 12 = 108 {mm}^{2} \\ volume \: pyramid \: = \: \frac{1}{3} \times base \: area \times hight \\ = \frac{1}{3} \times 108 {mm}^{2} \times 13mm \\ = 468 {mm}^{3} [/tex]

Help me please........

Answers

Answer:

(7, -1)

Step-by-step explanation:

Look at vertex R. The x is 7. Q has the same x value as R and same Y value as P.

Heba's account balance is $29.17. Nour's account balance is $11.99

Which account matches each description?

Answers

Answer:

Heba has a greater balance and Nour has more debt

Determine an equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the
point (-2, 6)

Answers

Step-by-step explanation:

find 3x + 12y = 1 in terms of y

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x1=-2 and y1=6 and m=4

so using the equation

(y-y1) = m(x-x1)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

y = 4x + 14 is the equation of the line that contains the coordinates (-2, 6) and is perpendicular to the line 3x + 12y = 1.

What is the slope-intercept form of a line?

When you know the slope of the line to be investigated and the given point is also the y-intercept, you can utilize the slope-intercept formula, y = mx + b. (0, b). The y value of the y-intercept point is denoted by the symbol b in the formula.

Given an equation of line  3x + 12y = 1

so y = -3/12 z + 1/3

y = -1/4 x + 1/3

gradient of the line(m) = -1/4

gradient of the line perpendicular to the line 3x + 12y = 1 is -1/m = -1 ÷ -1/4 = -1 x -4 = 4

(OR change the sign to its opposite(- to + and + to -) then put the denominator in place of the nominator and the nominator in place of the denominator)

for this line x₁=-2 and y₁=6 and m=4

so using the equation

(y-y₁) = m(x-x₁)

y-6 = 4(x-(-2)

y-6 = 4(x+2)

y-6 = 4x + 8

y = 4x + 14

Therefore, the equation of the line that is perpendicular to the line 3x + 12y = 1 and contains the point (-2, 6) is y = 4x + 14

Learn more about slope intercept form here:

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What would you call the shape of this formula (C3H8)

Answers

An overall shape of a modified tetrahedral with three tetrahedrals embedded within. The three carbons are all central atoms.

Hrozmarly needs to evaluate the following expression y^2-x^2 when y=9 and x=2. Her answer should be?

i am in 6 grade

Answers

Answer:

Step-by-step explanation:

y^2 -x^2=

y^2=9^2=81

x^2=2^2=4

81-4=77

Select the correct answer​

Answers

Answer:

B. i

Step-by-step explanation:

n/4 has a remainder of 3, then it has a format of:

n = 4k + 3

Substitute n:

i^n = i^(4k)*i^3 = i^(4k)*i^2*i = (-1)(-1)*i = i

Correct option is B. i

Please help!!! I need help solving just this one question and then I’ll be finished with this homework!!!

Answers

I am not sure but I believe it is X

I need some help with this question don't get it help please.

Answers

Answer:

Scale factor is 3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2

Hope this helps you!

factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor

Answers

Answer:

the other factors are: (x+3) and (2x−3)

Step-by-step explanation:

Please help!
The sum of two numbers is 52. Their difference is 4. Find both numbers.

Form: Ax+By=C

Answers

Answer:

THE ANSWER IS 44!

Step-by-step explanation:

5x+y=7
20x+2=y
What does x=?
What doesy=?

Answers

Answer: y = 6 x = 0.2

Step-by-step explanation:

5x+y=7  

20x+2=y

re-write one

5x + y = 7  OR  y = 7 - 5x

substitution

20x + 2 = 7 - 5x

20x + 5x = 7 - 2

25 x = 5

x = 5/25

x = 0.2

now for finding y

y = 7 - 5x

y = 7 - 5(0.2)

y = 7 - 1

y = 6

I need help with this question

Answers

Answer:

Equal

Step-by-step explanation:

After dilation, the shape of the original figure is maintaine. Only the size changes.

Consequently, the side lengths of both figures would be proportional to each other. This implies that the ratios of the corresponding side lengths of the original figure and the new figure would be equal.

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