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skelet666 [1.2K]
2 years ago
14

Help I don't understand

Mathematics
1 answer:
Leona [35]2 years ago
8 0
150 student voted for later start.
You might be interested in
Complete the proof....
abruzzese [7]

Answer:

The correct options are;

1. Definition of supplementary angles

2. m∠1 + m∠2 = m∠1 + m∠3

3. m∠2 = m∠3

4. Definition of Congruent Angles

Step-by-step explanation:

The two column proof is presented as follows;

Statement           {}                                  Reason

1. ∠1 and ∠2 are supplementary    {}     Given

 {} ∠1 and ∠3 are supplementary

2. m∠1 + m∠2 = 180°        {}                    Definition of supplementary angles

{}   m∠1 + m∠3 = 180°

3. m∠1 + m∠2 = m∠1 + m∠3      {}          Transitive Property

4. m∠2 = m∠3       {}                               Subtraction Property of Equality

5. ∠2 ≅ ∠3       {}                                    Definition of Congruent Angles

Given that angles ∠1 and ∠2 are supplementary angles and angles ∠1 and ∠3 are are also supplementary angles, then the sums of m∠1 + m∠2 and m∠1 + m∠3 are equal, therefore, ∠2 and ∠3 have equal quantitative value and therefore ∠2 = ∠3 and by definition, ∠2 ≅ ∠3.

3 0
2 years ago
Rewrite 14 1/3 as an improper fraction
Anastaziya [24]

Answer:

Step-by-step explanation:

((14×3) + 1 )/3 = (43/3)

5 0
3 years ago
How do I factor x^4-5x^2+6?
Vilka [71]

Answer:

=(x^2-3)(x^2-2)

Step-by-step explanation:

So we have the expression:

x^4-5x^2+6

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

=u^2-5u+6

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

=u^2-2u-3u+6

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

=u(u-2)-3(u-2)

Grouping:

=(u-3)(u-2)

Now, substitute back the x² for u:

=(x^2-3)(x^2-2)

And this is the simplest form.

And we're done!

3 0
2 years ago
A typical middle-income household in 1980 earned $34,757. A similar household in 2009 earned $38,550. What was the relative incr
S_A_V [24]

Given conditions are :

In 1980's, a typical middle-income household earned=  $34,757

In 2009, a similar middle-income household earned= $38,550

And we have to find relative increase in income for these households from 1980 to 2009.

So first we will find the total increase in amounts.

38550-34757=3793

Relative increase = \frac{3793}{34757}*100

= 10.91% or rounding it off we get approx 11%.

Hence, the answer is 11%.

5 0
3 years ago
Read 2 more answers
Jessica has an account with a credit union. Her account earns 2.4% simple interest yearly. Exactly a year and a half ago, she op
Dafna1 [17]
The basic equation for interest is the investment amount(x) times the time in years(y) times the percent of interest(z).

That makes the equation:

x·y·z= amount with interest.

Lets plug in the numbers:

$900 x 1.5 x 2.4%

Now turn the percent into a decimal:

2.4% ----> .024

Now the equation is:

$900 x 1.5 x .024

Now do the math:

$900 x 1.5 = 1350
1350 x .024 = 32.4
1350 + 32.4 = 1382.4

The final answer is $1382.40

Hope this helps!
6 0
2 years ago
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