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3 years ago

Suppose △ ITH ≅ △ APG

2 answers:

4 0

To figure this question out, I recommend the FOIL method.

F: First
O: Outer
I: Inner
L: Last

Statement A is true. IH and AG in the FOIL method is the Outer.

sleet_krkn [62]3 years ago

3 0

Answer: A) IH ≅ AG

Step-by-step explanation:

A property of congruent triangles is known as CPCTC which says that the congruent parts of the corresponding triangle are congruent.

We are given that Δ ITH ≅ Δ APG , then the every part of Δ ITH must be congruent to the corresponding part of Δ APG.

i.e. Corresponding sides of Δ ITH and Δ APG are congruent.

Since Side IH in Δ ITH is corresponding to side AG in Δ APG [First and last letter]

Then, IH ≅ AG

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Solve the equations using substitution <br> 7x-2y=3<br> 14x+y=14

Setler79 [48]

Answer:

x = 31/35 , y = 8/5

Step-by-step explanation:

Solve the following system:

{7 x - 2 y = 3

14 x + y = 14

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for y:

{7 x - 2 y = 3

14 x + y = 14

Hint: | Solve for y.

Subtract 14 x from both sides:

{7 x - 2 y = 3

y = 14 - 14 x

Hint: | Perform a substitution.

Substitute y = 14 - 14 x into the first equation:

{7 x - 2 (14 - 14 x) = 3

y = 14 - 14 x

Hint: | Expand the left hand side of the equation 7 x - 2 (14 - 14 x) = 3.

7 x - 2 (14 - 14 x) = (28 x - 28) + 7 x = 35 x - 28:

{35 x - 28 = 3

y = 14 - 14 x

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{35 x - 28 = 3

y = 14 - 14 x

Hint: | Isolate terms with x to the left hand side.

Add 28 to both sides:

{35 x = 31

y = 14 - 14 x

Hint: | Solve for x.

Divide both sides by 35:

{x = 31/35

y = 14 - 14 x

Hint: | Perform a back substitution.

Substitute x = 31/35 into the second equation:

Answer: {x = 31/35 , y = 8/5

8 0

4 years ago

Identify weather the sentence below is active can be rewritten in active voice or cannot be rewritten the fire was set some time

bazaltina [42]

The sentence cannot be written in active voice. the sentence would not make anu sence. the store robbed just after midnight is written in active voice and it does not make sense

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3 years ago

Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds)

zalisa [80]

Answer: $(57.41,\ 62.19)$

Step-by-step explanation:

Given : Sample size : $n=40$

Sample mean : $\overline{x}=59.8\text{ seconds}$

Standard deviation : $\sigma =9.2\text{ seconds}$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)$