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serious [3.7K]
3 years ago
10

The sum of twice a number and five is greater than three times the number minus three

Mathematics
1 answer:
Deffense [45]3 years ago
7 0
2x-5>3x-3 : given
and now just simplify
-5>x-3
-2>x
x<-2
there you go I guess
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Write a two-column proof. Given: line BD bisects angle CBE. Prove: angle ABD approximately equal to angle FBD.
ale4655 [162]

Answer:

The proof is derived from the summarily following equations;

∠FBE + ∠EBD = ∠CBA + ∠CBD

∠FBE + ∠EBD = ∠FBD

∠CBA + ∠CBD = ∠ABD

Therefore;

∠ABD ≅ ∠FBD

Step-by-step explanation:

The two column proof is given as follows;

Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

Therefore;

∠EBD ≅ ∠CBD  {}                              Definition of angle bisector

∠FBE ≅ ∠CBA {}                                Vertically opposite angles are congruent

Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD {}     Transitive property

∠FBE + ∠EBD = ∠FBD {}                    Angle addition postulate

∠CBA + ∠CBD = ∠ABD {}                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        {}                          Transitive property.

3 0
3 years ago
7. Which coordinate lies in the solution set for
Nana76 [90]

Answer:

The only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities.

Step-by-step explanation:

See the graph attached to this question.

The solution of the set of inequalities is given by the shaded region on the graph.

Now, the point (0,5) is outside this shaded region, hence it can not be the solution.

The point (3,0) also is outside this shaded region, hence it can not be the solution.

The point (-3,0) also is outside this shaded region, hence it can not be the solution.

Now, the only point (0,0) lies inside the shaded region and hence it gives a solution for the set of inequalities. (Answer)

6 0
3 years ago
At a certain time of day, a 30-foot building casts a 10 foot shadow. How tall is a person who casts a 2 foot shadow?
Anni [7]

Answer:

C)  6 feet

Step-by-step explanation:

set up a proportion of height/shadow = height/shadow

30/10 = h/2

cross-multiply:

10h = 60

h = 6

4 0
2 years ago
Read 2 more answers
BRAINIEST ANSWER HERRREEE!!! :D
steposvetlana [31]
By asking students to answer un-biased, and with detail. Comparing and contrasting each others' genre preference is also useful.

4 0
3 years ago
F(n)=n-2 could some one please answer this?
Murrr4er [49]

Answer:

i dont know

Step-by-step explanation:

i dont know

3 0
3 years ago
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