Vance wants to determine if an old photo frame is still rectangular. The height of the frame is
8 inches, the base is 6 inches and the diagonal is 10 inches long. Is the old photo frame still
rectangular? How do you know?

Answers

Answer 1

Answer:

The old photo frame is still rectangular

Step-by-step explanation:

Rectangles

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

[tex]d^2=a^2+b^2[/tex]

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

[tex]10^2=6^2+8^2[/tex]

[tex]100=36+64[/tex]

[tex]100=100[/tex]

Since the condition is met, the old photo frame is still rectangular


Related Questions

Bill bought 5 apples mary bought 2 apples and spent 1.86 for strawberrie. if the spent equal amounts write and solve the equation

Answers

Step-by-step explanation:

efzt8zgixhoch9cf8zgozohxigzigzgizigx

The cost of an apple was 0.62 cents.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

An equation is a mathematical statement that shows that two mathematical expressions are equal.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

An equation says that two things are equal.

For example, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

Given that, Bill bought 5 apples Mary bought 2 apples and spent 1.86 for strawberries. both the spent equal amounts, we need to write and solve the equation for the price of apples,

Let the cost of 1 apple = A

Bill bought = 5A apples

Mary bought=2A + 1.86

5A = 2A + 1.86

3A = 1.86

A = 1.86/3

A = 0.62 cents

Hence, the cost of an apple was 0.62 cents.

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PLEASE HELP ME! (80 POINTS UP FOR GRABS!!)

Which table has a constant of proportionality between y and x of 4?

A.
B.
C.

Answers

Answer: A

Step-by-step explanation:

Answer: A-

Step-by-step explanation:

Can someone help me with these? I need some help.

Answers

Answer:

1) [tex]\sqrt{569}[/tex]  2) 8   3) 0.8  4) [tex]\sqrt[10]{61}[/tex]

Step-by-step explanation:

The equation for pythagoream theorem is

a^2 + b^2 = c^2  (the caret "^" represents exponents)

A = a side length

B = another side length

C = the hypotnuse which is the slanted side of the right triangle.

To solve these problems plug in the known values into the equation then solve.

hola , alguien me podria decir cuanto es x+y=47 , tomando en cuenta que 40 alumnos y 14 profesores van de viaje , y en el hotel que se quedaran , los alumnos dormiran en cuartos dobles (2 camas) y los profesores en sencillas (1 cama) , y sumando en total son 47 habitaciones y 79 camas , y la incognita x es las habitaciones sencillas y la incognita y son las habitaciones dobles

Answers

Answer:

Step-by-step explanation:

40s=40×2=x

14t=14×1=y

40s=80

x=80

14t=14

y=14

Find the distance between the points. A(3, 0) and B((8,10)

Answers

Answer:

The distance is 5 square root of 5, or if it asks in decimal form it would be 11.180.

Step-by-step explanation:

To find the distance between any points, you must use the distance formula. When you plug in the points given, you end up with 11.180. I hope this helps!

YALLLL I NEEDDDD HELPPPPPPP LOOK QT THE PICTURE PLZZZ

Answers

Answer:

Angle A = 65 degrees, Angle B = 78 degrees

Step-by-step explanation:

Since a triangle always has its vertices add up to 180 degrees to be a triangle, we can setup an equation on how to solve it. Adding all the vertices together into a formula to equal 180 degrees gives you 5x-5 = 180. Solving this equation will grant you an answer of x = 37 degrees, and taking this value and plugging it in for each requested angle is how to find the exact degree value. Angle A will just be 2(37) - 9, which ends up to be 65 degrees. Angle B is just 2(37) + 4, which becomes 78 degrees. (You can check the answer by taking all values and adding them together to equal 180. 78 + 65 + 37 = 180.) Hope that helps!

Answer: ∠A = 65° ∠B = 78°

The sum of all interior angles = 180°. So, set 180 equal to the angles you were given (in this case, 2x-9, 2x+4, and x), and solve for x.

180 = (2x-9) + (2x+4) + x (combine the like terms)

180 = 5x - 5 (isolate 5x by moving -5 to the other side)

5x = 180 + 5

5x = 185 (divide both sides by 5 to isolate for x)

x = 37°

Then, sub in the value of x (in this case, 37°) into ∠A and ∠B.

∠A = (2x-9) = 2(37)-9 = 65°

∠B = (2x+4) = 2(37)+4 = 78°

∴ ∠A = 65° and ∠B = 78°.

What is the exact value of sin(157.5)?

Answers

Answer:

Its B edg

StartFraction StartStartRoot 2 minus StartRoot 2 EndRoot EndEndRoot Over 2 EndFraction

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

edge

hope this helped! :D

Find the value of the variable that results in congruent triangles. Complete the explanation.
F
30°
30°
9 in.
9 in.
(2x) in.
(x + 4) in.
А
B
D
E
AC is congruent to DF, because AC
DF = 9 in. 2C is congruent
to ZF. EF
must correspond to BC. The triangles (select) » congruent by the (select) Triangle
Congruence Theorem only when x = |

Answers

Answer:

[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

Step-by-step explanation:

From the figures given, ∆ABC and ∆DEF have an included corresponding angles measuring 30° each (<C and <F), and also a given corresponding side length of 9 in each (side AC and side DF). The other given as am expression, and hence the length is unknown. For these two ∆s to be considered congruent, using the SAS Triangle Congruence Theorem, we must have two sides and an included angle of ∆ABC equal to the corresponding sides of and an included angle of ∆DEF.

We already know that 1 of the given side corresponding side lengths are equal and also the include angles are equal, to find out what value of x that will make both unknown corresponding lengths equal, in other for the SAS to be true, set 2x equal to (x + 4) to solve for x.

Thus:

2x = x + 4

Subtract x from both sides

2x - x = 4

x = 4

Substituting x = 4 into 2x and x + 4 will give us equal lengths of 8 in respectively. Therefore, if x = 4, both triangles will be congruent based on the SAS Triangle Congruence Theorem.

The answer is:

[tex] \overline{AC} [/tex] is congruent to [tex] \overline{DF} [/tex], because [tex] \overline{AC} = 9in [/tex], [tex] \overline{DF} = 8 in [/tex]. <C is congruent to <F. [tex] \overline{EF} [/tex] must correspond to [tex] \overline{BC} [/tex]. The triangles are congruent by the SAS Triangle

Congruence Theorem only when x = 4.

hey yall i need help again im just lazy but will mark brainlyest

Answers

Answer:

1) 1

2) 1

3) 5/6

4) 3/10

5) 5/6

6) 2/7

7) 3/8

8) 5/14

Simplify

3 /6 − 1/ 7 =

3 /6 − 1 /7 =

3 /6 + −1 /7 =

1 /2 + −1 /7 =

7 /14 + −2 /14 =

7+−2 /14 =

5 /14

(Decimal: 0.357143)

9) 2/9

10) 2/21

Step-by-step explanation:

Find the value of f(–2) for the function f(x) = 4x + 10.

A. –3
B. –2
C. 2
D. 18

Answers

Answer:

Step-by-step explanation:

f(-2) = 4(-2) + 10 = -8 + 10 = 2

answer is C

Mudrik installed a device on his car that
guaranteed to increase his gas mileage
by 15%. He currently gets 22 miles per
gallon. How much will the gas mileage
increase after installing the device?

Answers

Answer:

His mileage will increase 3.3 miles to the gallon

Step-by-step explanation:

The twenty cards below are laying facedown on the table. One card is randomly picked.


Find P(pink or green).

Answers

Answer:

9/20 or 9:20 depending on how they want it written

Step-by-step explanation:

add pink and green cards [9] in relation to total cards [20]

are 2x +4 = 10 and 3x +6 = 15 equivalent. equations? how do you know.​

Answers

Answer:

Yes, the two equations are equivalent.

Step-by-step explanation:

For the first equation, we will solve for x.

2x + 4 = 10

Subtract 4 from both sides...

2x + 4 = 10

      -4    -4

It then becomes

2x = 6

Then we divide by 2 on both sides.

2x = 6

2     2

Then the answer is...

x = 3

Now let's also solve for x on the second equation.

3x + 6 = 15

Subtract 6 on both sides to get x alone...

3x + 6 = 15

      -6    -6

Then it is..

3x = 9

Lastly, divide by 3 on both sides...

3x = 9

3     3

Then it becomes

x = 3.

Then we see that both equations have x = 3, meaning when both x's = 3, then both equations will be equivalent. I hope this helps, and I hope it is not wrong, but I don't think it is.

ima just give all my points away.

P.S
I don't like you brainly.

Answers

Answer:

interesting

Step-by-step explanation:

Answer:

thx!

Step-by-step explanation:

Mr. Brown cuts 3/4 inch sections of wood to make a birdhouse roof. He cut 36 sections. How many inches did he cut?

Answers

Answer:

27 Inches

Step-by-step explanation:

294 is equal to the quotient of f and 373
Write the sentence as an equation

Answers

Answer:

f/373 = 294

Step-by-step explanation:

When simplifying the expression in part H, how many times will the sign change on the positive term? Will the final expression be positive or negative?

Answers

Answer:

There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.

Step-by-step explanation:

Answer:

There are two -1s in the expression, so the sign of the positive term will change two times: positive → negative → positive. So, the final expression will be positive.

Step-by-step explanation:

What Is the value of X?
Lines cut by a transversal line...

Answers

(2x–5)° + 45° = 180° (sum of consecutive interior angles

=> 2x + 40 = 180

=> 2x = 180– 40

=> x = 140 /2

=> x = 70

The required value of the x is 70 in the measures of the angle.

Given that Line m and n are parallel lines and intersect by a transversal line l.

When a transversal line intersects two other lines, it creates eight angles, four of which are called exterior angles and four are called interior angles.

From the sum of consecutive interior angles we have;

(2x–5)° + 45° = 180°

2x + 40 = 180

2x = 180– 40

x = 140 /2

x = 70

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The output of a function is called the What variable

Answers

Answer:

Dependent

Step-by-step explanation:

The output of a function is the y value. This is also the dependent variable.

When measuring volume what is the proper unit in science

Answers

Answer: liters

Step-by-step explanation:

Choose a linear function for the line represented by the point-slope equation y-5= 3(x - 2).
O f(x) = 3r+1
O f(x) = 3x - 1
O f(x) = &r + 10
O flac) = 8x - 10

Answers

Answer:

y = 3x - 1

Step-by-step explanation: All you have to do here is solve the equation for y. When you add 5 to both sides, you are left with 3(x-2) + 5. Now, you just have to open the parentheses, giving you 3x-6+5, or 3x-1.

David is making mixed candy bags for trick-or-treaters. He has 45 gummy bears and 18 jelly beans left. He wants to put the same number of both types of candy into every bag. What is the largest number of candy bags he can make? ​

Answers

I think it is 9 if not I’m sorry

Question 9 of 10
Which expression is equivalent to -16 - 9?
A. -16+(-9)
B. 16+(-9)
C. 16+9
D. -16 +9

Answers

Answer:

b

Step-by-step explanation:

Given f(x) = 3x – 2 what is f (2x)?

Answers

Answer:

6x - 2

Step-by-step explanation:

f(2x) = 3(2x) - 2

f(2x) = 6x - 2

Answer:

I think it is   ---->  m = 3

Step-by-step explanation:

A family built a house in a beach resort area. In 1990, the house was 430 ft from the water. With erosion, the house was 400 ft from the water in 2000. In what year will the house be only 250 ft from the water?

a. 1990

c. 2015

b. 2004

d. 2050

Answers

We develop an equation for the given situation by first writing the general equation for lines,

                                y = mx + b

Substituting to this given the values given above,

(1990)                      430 = b

(2000)                      400 = m(10) + 430

The value of m from the equation in 2000 is -3. Thus, the equation of that relates the variables is,

                              y = -3x + 430

Answer:

 

d.  2050

Step-by-step explanation:

Help me solve this problem

Answers

Answer:

k = 3

Step-by-step explanation:

8k - (6k - 4) = 10

8k - 6k + 4 = 10

2k + 4 = 10

2k = 10 - 4

2k = 6

k = 3

Answer:

k=3

Step-by-step explanation:

8k-(6k-4)=10

Multiply everything inside of the parentheses by the negative.

8k -6k -4=10

Combine like terms

2k - 4 = 10

Subtract 4 from both sides

2k = 6

Divide by 2 on both sides

k-3

Function Homework f(x) g(x)

Answers

Answer:

5x-1

Step-by-step explanation:

what fraction is -1/3 minus -5/12 equivalent to as a addition expression.

Answers

Answer:

-3/4 I think do

Answer:

To add or subtract two like fractions, simply add or subtract the numerators and put the result over the common denominator, so your answer is 0.08333333333

Step-by-step explanati

Dora, the school lunch manager, says that it takes 225 oranges to make 5 gallons of orange juice how many oranges does Dora need to make one gallon?

Answers

Answer:

45

Step-by-step explanation:

Since

5 : 225 = 1 : X

Then we know

225/5 = X/1

Multiplying both sides by 1 cancels on the right

1 × (225/5) = (X/1) × 1

1 × (225/5) = X

Then solving for X

X = 1 × (225/5)

X = 45

Therefore

5 : 225 = 1 : 45

Answer:45

Step-by-step explanation:well all you do is divide 5 from 225

ILL GIVE BRAINLIEST 2 THE 1ST PERSON WHO ANSWERS

Answers

Answer:

b

Step-by-step explanation:

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