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MrRissso [65]
2 years ago
6

If triangle ABC is similar to triangle DEF, which statement is true about the two triangles?

Mathematics
1 answer:
Lera25 [3.4K]2 years ago
6 0

Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object. The triangles ABC and DEF are congruent since they are similar. They have equal lengths of the sides ad the angles should as well be equal with the two triangles.

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3 0
2 years ago
Which place value contains the 7 in the quotient of 8,928 divided by 24?
Ainat [17]

Answer: 7 is in tens place

Step-by-step explanation: 8928 ÷ 24 = 372

Ones place - 2

Tens place - 7

Hundreds place - 3

The 7 is in the tens place

5 0
2 years ago
Read 2 more answers
Simplify (4x-6)-(3x+6)
DaniilM [7]

Answer:

x-12

Step-by-step explanation:

First open the brackets

=(4x-6)-(3x+6)\\\\\\=4x-6-3x-6

Then collect the like terms

4x-3x-6-6

Solve the like terms

4x-3x=x\\\\\\-6-6=-12\\\\\\=x-12

The simplified form is

x-12

3 0
2 years ago
Hilda adds 5 to a number, then multiples the sum by -2. The result is 6. Write and equation to find the number, x. What is the n
Novay_Z [31]

(x+5)*(-2) = 6

distribute

-2x -10 = 6

add 10 to each side

-2x -10 +10 = 6+10

-2x = 16

divide by -2

-2x/-2 = 16/-2

x = -8

The number is -8

3 0
2 years ago
What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI
Lera25 [3.4K]
We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area

3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is <  surface area
7 0
3 years ago
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