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3 years ago

3. Determine whether the triangles are similar. If so, write a similarity statement and name the

Mathematics

1 answer:

Elanso [62]3 years ago

5 0

They are both similar.
tri cba ~ tri rqp
AA theorem
tri bac ~ tri edf
SSS theorem

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I need help with all the ones that don't have answers.

zlopas [31]

- What two consecutive odd integers have a sum of 48?

23 + 25 = 48

- Two negative consecutive integers have a sum of -45. What are the integers?

-22 + -23

- The sum of two consecutive integers 75. What are the two integers?

37 + 38 = 75

- What three consecutive odd integers have a sum of 81?

25 + 27 + 29 = 81

Hope I could help! Have a good one. I believe that is all of the unanswered questions. If I missed one, let me know!

7 0

3 years ago

Solve the following ODE's: c) y* - 9y' + 18y = t^2

Nastasia [14]

Answer:

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

Step-by-step explanation:

y''- 9 y' + 18 y = t²

solution of ordinary differential equation

using characteristics equation

m² - 9 m + 18 = 0

m² - 3 m - 6 m+ 18 = 0

(m-3)(m-6) = 0

m = 3,6

C.F. = $C_1e^{3t}+C_2e^{6t}$

now calculating P.I.

$P.I. = \frac{t^2}{D^2 - 9D +18}$

$P.I. = \dfrac{t^2}{(D-3)(D-6)}\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1-\frac{D}{6})^{-1}(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(1+\frac{D}{6}+\frac{D^2}{36}+....)(t^2)\\P.I. =\dfrac{1}{18}(1-\frac{D}{3})^{-1}(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(1+\frac{D}{3}+\frac{D^2}{9}+....)(t^2+\frac{2t}{6} + \frac{2}{36})\\P.I. =\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

hence the complete solution

y = C.F. + P.I.

y = $C_1e^{3t}+C_2e^{6t}$ + $\dfrac{1}{18}(t^2+\frac{2t}{6} + \frac{2}{36}+\frac{2t}{3}+\frac{2}{18}+\frac{2}{9})$

7 0

2 years ago

Solve for a 9a² = 16a College Intermediate Algebra

Fed [463]

We want to solve 9a² = 16a for a.

Because the a is on both sides, a good strategy is to get all the a terms on one side and set it equal to zero. Then we apply the Zero Product Property (if the product is zero then so are its pieces and Factoring.

9a² = 16a

9a² - 16a = 0 <-----subtract 16a from both sides

a (9a - 16) = 0 <-----factor the common a on the left side

a = 0 OR 9a - 16 =0 <----apply Zero Product Property

Since a = 0 is already solved we work on the other equation.

9a - 16 = 0

9a = 16 <----------- add 16 to both sides

a = 16/9 <----------- divide both sides by 9

Thus a = 0 or a = 16/9

7 0

3 years ago

If a^2=b^2, does a=b? Explain and justify your answer.

anygoal [31]

Answer:

not necessarily

Step-by-step explanation:

Taking the square root of both sides, you have ...

±a = ±b

Those four cases resolve to two unique cases:

a = ±b

The given equation will be true if a = b or if a = -b. If a and b are constrained to have the same sign, then a=b is the only solution.

4 0

3 years ago

A car dealership has 240 cars in the parking lot and 17.5% of them are red. Of the other 6 colors in the lot, each color has the

Nonamiya [84]

Answer:

Step-by-step explanation:

Ok guys I’m really confused

4 0

2 years ago