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ololo11 [35]
3 years ago
7

Triangle KLM is similar to Triangle RST.

Mathematics
2 answers:
fgiga [73]3 years ago
8 0

Answer: true

Step-by-step explanation:

since the triangles are similar the sides are proportional

Alchen [17]3 years ago
4 0

Answer:

<h2>True.</h2>

Step-by-step explanation:

When we demonstrate a similarity, we deduct corresponding congruences and proportions.

It's important to know that similarities are about proportional sides, but congruent angles.

So, if ΔKLM is similar to ΔRST, that means corresponding sides are proportional, which pairs of sides are corresponding? Well,

  • KL and RS.
  • LM and ST.
  • KM and RT.

SO, the proportional relation is

\frac{KL}{RS}=\frac{LM}{ST}=\frac{KM}{RT}

You can see this corresponding side in the image, KL is at the same position than RS, this also apply for LM and ST, KM and RT.

Therefore, the given statement is true.

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Find the volume of this cylinder. Please help
algol13

Answer:

\boxed {\boxed {\sf 384 \ ft^3}}

Step-by-step explanation:

The volume is the space an object occupies. The volume formula for a cylinder is provided and it is:

V= \pi r^2 h

Where:

  • r= radius
  • h= height

The radius is the distance from the center of the circle to the edge, and it is 4 feet. The height is 8 feet. We are told to use 3 for pi.

  • r= 4 ft
  • h= 8 ft
  • π= 3

Substitute the values into the formula.

V= (3)(4 \ ft)^2 (8 \ ft)

Solve the exponent.

  • (4 ft)²= 4 ft * 4 ft = 16 ft²

V= (3)(16 \ ft^2)(8 \ ft)

Multiply the three numbers together.

V= 48 \ ft^2 (8 \ ft)

V= 384 \ ft^3

The volume of the cylinder is approximately <u>384 cubic feet.</u>

8 0
2 years ago
Use the figure to name the following terms.
Sholpan [36]

Answer:

1. Three collinear points are R, X, and Q

2. Plane V is a quadrilateral

3. The three segments are PQ, RX, and XQ

4. The two rays are Xr and QS

5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ

Step-by-step explanation:

1. Collinear points are points that lie in or can be located on the same line

2) A quadrilateral is a four sided two-dimensional shape

3) A line segment is a line portion between two end points

4) A ray is a line with one end point that extends to infinity in a direction

5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.

5 0
3 years ago
In one day Sasha got 1 hour of sleep for every 3 hours she was awake if there are 24 hours in a day how many hours of sleep did
Gre4nikov [31]

Answer:

Hours slept = 6 hours

Hours awake = 18 hours

Step-by-step explanation:

Sasha got 1 hour of sleep for every 3 hours she was awake.

So,

<u>This means:</u>

Slept : Awake = 1 : 3

Total hours in a day = 24 hours

<u>Let </u>

Hours slept = 1x and hours awake = 3x

<u>Hence,</u>

1x + 3x = 24 hours

4x = 24

Divide both sides by 4

x = 24 / 4

x = 6

<u>So,</u>

Hours slept = 1(6) = 6 hours

Hours awake = 3(6) = 18 hours

\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
2 years ago
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