Explain defined and undefined terms in geometry

Guided Practice

zysi [14]

Answer:

D.

πr2(2h)pi r squared left parenthesis 2 h right parenthesis

Step-by-step explanation:

4 0

2 years ago

Solve (x + 2 < 5) (x - 7 > -6).

oksano4ka [1.4K]

Answer:

(x + 2 < 5) (x - 7 > -6)=

1<x<3

Step-by-step explanation:

3 0

2 years ago

YOU GET LOTS OF POINTS FOR ANSWERING THIS AND I WILL MARK THE FIRST RIGHT ANSWER BRAINLIEST!!! (Results may change)

Anna [14]

Answer:

O (0,0)

R (k, k)

S (k, 2k)

T (2k, 2k)

U (k, 0)

OT = 2√2 + 2k

Step-by-step explanation:

Since the entire shape is 2k units, the height is 2k.

The length of SU is the height. SU = 2k

SU is made of two lines called SR and RU, both the same length.

If SU = SR + RU and SR = RU, they are half of 2k. SR = RU = k

Other lines that have the same length as RU and SR is OU and ST. They all have the one tick marking which means equal length.

SR = RU = OU = ST = k

We know the coordinates of point O. It is the origin because it's where the x-axis and the y-axis intersect. O (0,0)

Since OU=k, U is k units to the right of O for it's x-coordinate. U is still on the x-axis so it's y-coordinate is 0. U (k, 0)

Since R is k units above U, increase the y-coordinate by k. R (k, k)

Point S is k units above R, increase the y-coordinate by k. S (k, 2k)

Point T is k units to the right of S. Increase the x-coordinate by k, and the y-coordinate does not change. T (2k, 2k)

The length of OT is double the hypotenuse of one of the right triangles.

Use the Pythagorean theorem to find the hypotenuse of triangle STR.

RT² = ST² + SR²

RT² = k² + k² <=substitute the lengths you know

RT² = 2k² <=find the square root of both sides

RT = √(2)k

Since triangles STR and ORU are the same, hypotenuse RT is the same as hypotenuse OR.

OT = 2(√(2)k)

OT = 2√2 + 2k

7 0

2 years ago

The surface area of the prism is

Shtirlitz [24]

Surface area is the area of all the surfaces, that's why it's called surface area...so let's calculate the area of the bottom rectangle, the front rectangle, back rectangle, and the two triangles on the sides.

Bottom Rectangle:

$\sf A=lw$
Length = 12 yd, Width = 9 yd

$\sf A=(12)(9)$

$\sf A=108~yd^2$

Front Rectangle:

$\sf A=lw$
Length = 12 yd, Width = 5 yd

$\sf A=(12)(5)$

$\sf A=60~yd^2$

Back Rectangle:

$\sf A=lw$
Length = 12 yd, Width = 8 yd

$\sf A=(12)(8)$

$\sf A=96~yd^2$

Triangle:

$\sf A=\dfrac{1}{2}bh$
Base = 9 yd, Height = 4 yd

$\sf A=\dfrac{1}{2}(9)(4)$

$\sf A=12~yd^2$

Remember we have two of these triangles.

Now let's add up all the measurements:

$\sf 108+60+96+12+12=\boxed{\sf 288~yd^2}$

7 0

3 years ago

Solve the equation, —9x + 1 = -x + 17 № ооооо пппп Noo

nika2105 [10]

Answer:

x = -2

Step-by-step explanation:

-9x + 1 = -x + 17

To solve this equation

Note if there is more than one variable like x, y, or z

Also note the power of the variables, for example, x^2 or y^3

In this equation, there is only one variable which is x and it's also in the power of 1 ie x

Step 1 : rearrange according to like terms

-9x + x = 17 - 1

( don't forget that the sign always change on crossing an equals to, either + to - or - to +

-9x + x (also means 9 - 1 but only carries a negative sign)

= - 8x = 16

Dividing both sides by -8 to get the value of x

-8x / 8 = 16 /- 8

x = 16/ -8

x = -2

5 0

2 years ago