Simplify:<br><br><br> please and ty

a. In order for ΔABC to be similar to ΔDEF, what must be true about the angles? Be specific. b. If you know that ΔABC is similar

igomit [66]

I) if the triangles are similar then the corresponding angles are congruent. this means that the angles are of the same size.

ii) If ΔABC is similar to ΔDEF, therefore; m∠A = m∠D, m∠B=m∠E, and m∠C=m∠F,
thus, if m∠A= 52, m∠D=52, and if m∠E=65, then m∠B=65, thus to get m∠C;
180- (52+65)
= 63 , therefore; m∠C= 63

iii) if two figures are similar they have the same shape and not necessarily the same size while if two figures are congruent then they have the same shape and size

5 0

3 years ago

F(x) = 3x<br> g(x) = x2 – 5x - 9<br> Find (fºg)(x).

Eddi Din [679]

Answer:

$\boxed{(f.g)(x) = 3 {x}^{3} - 15 {x}^{2} - 27x}$

Given:

$f(x) = x + 2 \\ \\ g(x) = 3x + 5$

To Find:

$(f.g)(x) = f(x) \times g(x)$

Step-by-step explanation:

$= > f(x) \times g(x) = (3x)( {x}^{2} - 5x - 9) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x \times {x}^{2} ) - (3x \times 5x) - (3x \times 9)\\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 {x}^{3} - 15 {x}^{2} - 27x$

8 0

3 years ago

Use Liam DeWitt's Flash Card statement and the credit calendar for Exercises a-e.

Leno4ka [110]

The answers for this task are gotten in most cases by Careful Observation of Liam DeWitt's Bank Account Information.

<h3>What is a Bank Account Information?</h3>

A bank account information refers to all the details present on or which can be deduced from one's statement or record of banking activities..

Liam's Average Daily Balance is: Total sum of balance each day divided by the number of days. That is
(250+87+1300+470-200+34.76+102.71+45.90+84.60)/9

ADB= $241.66

B) Liam's Monthly Periodic Rate (MPR) is the Annual Interest Rate divided by the number of periods. In this case, that will be:

19.8%/12

MPR = 1.65%

C) Liam's Finance Charge is (Average Daily Balance * APR)/365.

That is (241.66 * 19.8)/365 = 13.11%

D) Liam's New Balance is calculated by removing new inflow from old balance. That is

(250+87.60+1,300+470.63+34.76+102.71+45+848.60)-3,240.5

= $-101.20

E) Liam's Available Line of Credit is clearly stated as $4,000.

See the link below for more about Bank Account Information:

brainly.com/question/15525383