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3 years ago

Geometry math question please help

Mathematics

1 answer:

Triss [41]3 years ago

6 0

A square is a figure with four equal sides and four right angles.In a square the diagonals bisect at right angles .

In the above given options option A is the right answer.

If the diagonals of any parallelogram are perpendicular then the figure is not necessarily a square.

Diagonals are perpendicular in a rhombus too.

A square and Rhombus both have diagonals that are perpendicular.

So it is not a necessary condition for a parallelogram to be a square .

The other options are right .

So option B is the right option that if diagonals are perpendicular is not sufficient to prove the figure to be a square.

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A certain economy's consumption function is given by the equation C(x) = 0.65x + 9 where C(x) is the personal consumption expend

ipn [44]

Answer:

1) $C(0) = 9$

2) $C(50) =41.5$

3) $C(100) =74$

Step-by-step explanation:

Given : A certain economy's consumption function is given by the equation $C(x) = 0.65x + 9$

where, C(x) is the personal consumption expenditure in billions of dollars, and x is the disposable personal income in billions of dollars.

To find :

1) C(0)

Put x=0 in the given equation,

$C(0) = 0.65(0)+ 9$

$C(0) = 9$

2) C(50)

Put x=50 in the given equation,

$C(50) = 0.65(50)+ 9$

$C(50) =32.5+9$

$C(50) =41.5$

3) C(100)

Put x=100 in the given equation,

$C(100) = 0.65(100)+ 9$

$C(100) =65+9$

$C(100) =74$

7 0

3 years ago

You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,

Vsevolod [243]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

$\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3$

The coordinates of the fourth vertex is D(4,-3)

8 0

3 years ago

A gift box is in the shape of a trapezoidal prism with base lengths of 7 inches and 5 inches and a height of 4 inches. The heigh

jek_recluse [69]

First of all there are multiple formula's to get the volume of a trapezoidal prism:

V=(1/2 * (base1 + base2) * h) * height prism

Using the numbers you gave:
base1 = 7 base2 = 5 h = 4 height prism = 8

Putting this into the equation: V=(1/2 * (7 <span>+ 5) * 4) * 8
V= (1/2 * 12 * 4) * 8
V = 24 * 8
V = 192

The volume of the gift box is 191 inches squared.</span>

6 0

3 years ago

Give the product in simplest form: 1 5/6 • -1 2/3

katovenus [111]

Exact form: -55/18
Decimal form: -3.05 repeating
Mixed form: -3 1/18

3 0

2 years ago

Good morning ppl hruu <3

Dimas [21]

Gm, it’s almost night for me

6 0

2 years ago