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3 years ago

What property allows us to determine the congruency of the two triangles in the diagram?

Mathematics

2 answers:

iris [78.8K]3 years ago

6 0

Answer:

A) SSS

Step-by-step explanation:

In geometry, two figures are congruent if they have the same shape and size. In this case, triangle ACB and triangle DFE are congruent if they have exactly the same three sides and exactly the same three angles.

SSS property (side, side, side) states that two triangles have all three sides equal. This means that:

Side AC and side DF are equal (marked with one line)
Side CB and side FE are equal (marked with two lines)
Side BA and side ED are equal (marked with three lines)

swat323 years ago

5 0

Sss would determine congruency

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A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. how much gas can the pressure vessel hold when fu

bezimeni [28]

Step-by-step explanation:

the volume of a cylinder is as for any other regular 3D object :

ground area ×height

the ground area of a cylinder is a circle, so it is

pi×radius² × height

the radius is always half of the diameter (of the diameter is airways twice the radius).

radius = 6/2 = 3 ft.

the volume is then

pi × 3² × 9 = pi × 9 × 9 = pi × 81 ft³

so, the answer is 81pi ft³.

8 0

2 years ago

Find a number which decreased by 12 equals 3 times it’s opposite

-BARSIC- [3]

Answer:

The number is 3.

Step-by-step explanation:

To find : A number which decreased by 12 equals 3 times it’s opposite ?

Solution :

Let the number be 'x'.

It's opposite is '-x'.

A number which decreased by 12 equals 3 times it’s opposite

i.e. $x - 12 = 3(-x)$

Solving the equation,

$x-12=-3x$

$x+3x=12$

$4x=12$

$x=\frac{12}{4}$

$x=3$

Therefore, the number is 3.

4 0

3 years ago

Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year,

alina1380 [7]

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

÷ 5

10 × 1

3 × 5

10 ÷ 5

15 ÷ 5

4 0

2 years ago

Please help i am so confused

harkovskaia [24]

Answer:

$q\geq -81$

Step-by-step explanation:

First, begin by multiplying $\frac{q}{27} \\$ by its reciprocal.

To do this, flip the fraction upside-down.

The resulting equation looks like this: $\frac{27}{1} *\frac{q}{27}$

Cancel out the two 27's and you are left with $\frac{q}{1}$ , which you can simplify to q.

Next, multiply -3 by $\frac{27}{1}$ . Remember, what you do on one side, you must do on the other.

Your equation should look like this:

$q\geq -81$

The final answer is $q\geq -81$ .

Have a nice day!

3 0

3 years ago

Sara is making a key chain using the bead design shown. What fraction of the beads in her design are either blue or red?

klio [65]

You can make a ratio of red to overall colors and then that will give you the fraction, you might have to simplify it

4 0

3 years ago