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2 years ago

Complete the statement. Trapezoids are parallelograms

Mathematics

2 answers:

Viktor [21]2 years ago

6 0

Trapezoids are parallelograms. NOT !

Lady bird [3.3K]2 years ago

4 0

Answer:

Step-by-step explanation:

(A) The given statement is:A square is a parallelogram-------A square is always a parallelogram (By properties of parallelogram)(B) The given statement is:A rectangle is a trapezoid----------A rectangle is never a trapezoid.(C) The given statement is:A rhombus is a square--------A rhombus is sometimes a square.(D) The given statement is:A quadrilateral is a kite--------A quadrilateral is sometimes a kite.

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What would be the appropriate units and intervals to use along the x- and y-axes

Vika [28.1K]

X axes are supposed to be positive and the y is negative.

3 0

3 years ago

Given right triangle A w/a hypotenuse length of x+4 and a leg of x, and right triangle B, w/ a hypotense length of 3y and a leg

alex41 [277]

Answer:

Value is x=8 and y=4

Step-by-step explanation:

Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,

and right triangle 'B' hypotenuse length of 3y and a leg length of y+4

To find : For what values of x and y are the triangles congruent by HL?

Solution :

Triangle A,

Hypotenuse: x+4

Leg: x

Triangle B,

Hypotenuse: 3y

Leg: y+4

Since the triangle A and B are congruent so, the sides of triangles are equal.

$x+4=3y$ (Hypotenuse are equal) ..........[1]

and $x=y+4$ (Legs are equal) ..........[2]

Solving the equation of system,

Put the value of x from [2] in [1],

$x+4=3y$

$y+4+4=3y$

$8=2y$

$y=4$

Substitute y in [2],

$x=y+4$

$x=4+4$

$x=8$

Therefore, The value of x=8 and y=4

Verifying for the values of x and y:

Triangle A,

Hypotenuse: x+4=8+4=12

Leg: x=8

Triangle B,

Hypotenuse: 3y=3(4)=12

Leg: y+4=4+4=8

Both hypotenuses and both legs are equal hence they are congruent.

6 0

2 years ago

There are two numbers, one is 7 more than twice the other. The sum of the numbers is 43. Make the equation to find the smaller n

Mrrafil [7]

Answer:

Smaller number: 12

Greater number: 31

Step-by-step explanation:

Hi there!

Let x equal to the smaller number.

Let y be equal to the greater number.

1) Translate the information into equations

"One is 7 more than twice the other"

⇒ $y=2x+7$

"The sum of the numbers is 43"

⇒ $x+y=43$

2) Use substitution to solve for the smaller number

$x+y=43$

Plug the equation $y=2x+7$ into the above equation

$x+(2x+7)=43\\x+2x+7=43\\3x+7=43$

Subtract both sides by 7

$3x+7-7=43-7\\3x=36$

Divide both sides by 3 to isolate x

$\frac{3x}{3} = \frac{36}{3} \\x=12$

Therefore, the smaller number equates to 12.

3) Use substitution to solve for the greater number

$x+y=43$

Plug in x as 12

$12+y=43$

Subtract both sides by 12 to isolate y

$12+y-12=43-12\\y=31$

Therefore, the greater number equates to 31.

I hope this helps!

3 0

3 years ago

In November, the price of a GizmoPhone was double the price in March. In December, the price was $57, which was $29 less than th

Jet001 [13]

December = $57

In December, the price was $57, which was $29 less than the price in November then November price was: $57 + $29 = $86
In November, the price of a GizmoPhone was double the price in March. so March: $86 x 2 = $172

answer: the price of a GizmoPhone in March was $172

7 0

3 years ago

Two vertical poles of length 10 and 12 feet, respectively, stand 17 feet apart. A cable reaches from the top of one pole to the

Marat540 [252]

Answer:

$L=\sqrt{x^{2}+100}+\sqrt{x^{2}-34x+433} ft$