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netineya [11]
3 years ago
5

True or false? A theorem is a statement that can be easily proved using a corollary

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

The given statement "A theorem is a statement that can be easily proved using a corollary" is false.

Answer: False

<u>Step-by-step explanation:</u>

A statement that would be proven on the basis of postulates and before proven theorem is called Theorems. "Corollary", a theorem that should come from a previous theorems (part of another statement). Contrary to the definitions, this may be reversible or irreversible if they are presented in the form "if - then."

Example for theorem: The measured angles of a triangle added to 180 degree.

The theoretical aspects of geometry consists of definitions, theorems, and postulates. Basically, these are elements of geometric proof.

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How are the solutions to the inequality -2x ≥ 10 different from the solutions to -2x &gt; 10?
CaHeK987 [17]

Answer:

First lets find the solutions to each inequality.

-2x\geq \\10 and -2x>10 (divide both sides by -2 to solve)

x\leq-5 and x<-5

x\leq-5 tell us that x could be -5 or less.

x<-5 tells us that x could be -6 or less.

The first one is less than or equal to which tells you that there is a possibility that the number is shows is could be an answer

Hope this helps ;)

4 0
4 years ago
Deangelo has $7 worth of dimes and quarters in a jar. He has 7 more quarters than dimes.
svlad2 [7]
D=number of dimes
q=number of quarters

let's count everything in cents
dimes are worth 10 cents
quarters are worth 25 cents

10d+25q=700
divide both sides by 5
2d+5q=140


he has 7 more quarters than dimes
q=7+d
subsitute 7+d for q in other equation

2d+5q=140
2d+5(7+d)=140
2d+35+5d=140
7d+35=140
minus 35 both sides
7d=105
divide both sides by 7
d=15

sub back

q=7+d
q=7+15
q=22


22 quarters and 15 dimes
3 0
3 years ago
Read 2 more answers
What is the value of x in the figure ?
morpeh [17]

Step-by-step explanation:

2x+15= 145°

( vertically opposite angles)

2x=145-15 = 130

x =  \frac{130}{2}

x = 65

3 0
4 years ago
Read 2 more answers
What is the true solution to the logarithmic equation below?<br> log₂ (6x)-log₂ (√x)=2
slega [8]

Answer:

The true solution is x=4/9

EXPLANATION

The logarithmic equation given to us is

We need to use the quotient rule of logarithms.

When we apply this law the expression becomes

We now take the antilogarithm of both sides to get

We square both sides to get,

We evaluate to obtain,

This simplifies to

We divide both sides by 36 to get

We simplify to get,

6 0
2 years ago
Read 2 more answers
If f(x) = 3x - 5, than f(2) =
Mamont248 [21]
If we substitute 2 into x it'll be:

3x - 5 \\ 3(2) - 5 \\ 6 - 5 \\ 1

5 0
3 years ago
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