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3 years ago

The tables given are for the linear functions f(x) and g(x) what is the input value for which f(x)= g(x) is true? X=

Mathematics

2 answers:

Dovator [93]3 years ago

7 0

Answer:

x = –1.

Step-by-step explanation:

solniwko [45]3 years ago

4 0

It's asking us to find the input value x such that f(x) = g(x). So let's look at the columns f(x) and g(x). We can see that both f(x) and g(x) have the value of 3. The x-value at which f(x) = g(x) = 3 is x = –1.

Thus the answer is x = –1.

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Amanda and Stephen wrote the following proofs to prove that vertical angles are congruent. Who is correct? Line segment NT inter

jolli1 [7]

In fact, both Amanda's and Stephen's profs are correct; they are just using different supplementary angles. Amanda's is using the supplementary angles ∠1 and ∠4, and ∠3 and ∠4, whereas Stephen is using ∠1 and ∠2, and ∠2 and ∠3. Please check the picture to visualize this more effectively.

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3 years ago

Read 2 more answers

Malachy rolls a fair dice 168 times.

baherus [9]

Answer:

28 times

Step-by-step explanation:

On a fair die, the probability of rolling a 6, the only number greater than 5, is 1/6. So in 168 rolls of this die, Malachy can expect a 6 on 1/6 × 168, or 28 times.

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2 years ago

Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

KonstantinChe [14]

$\frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}]$

We will apply these following power rule

$x^m*x^n = x^{m+n}$
$x^m/x^n=x^{m-n}$

$[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]$
$[x^{8-14}][y^{-26-5}][x^{-39}y^{-21}]$
$x^{-6}y^{-21}[x^{-39}y^{-21}]$
$[x^{-6-39}][y^{-21-21}]$
$x^{-45}y^{-42}$

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3 years ago

At sunrise, the temperature was -12 °F. The temperature increased 19 °F each hour for 3 hours. What was the temperature 3 hours

yawa3891 [41]

-12 degree F + 19 + 19 + 19 = 49 degree F
I think the answer is 49 degree F...

4 0

3 years ago

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D

Karolina [17]

Answer:

Which statements about the relationship between the two triangles below are true

- Angle C is congruent to angle S (true)

- Angle D is congruent to angle T (true)

- Triangle D C A is similar to triangle T S R (true)

The rest are false.

Complete question;

Which statements about the relationship between the two triangles below are true? Check all that apply. Triangle A C D. Angle D is 60 degrees and angle A is 74.9 degrees. Triangle R S T. Angle R is 74.9 degrees and angle S is 45.1 degrees.

- Angle C is congruent to angle T

- Angle C is congruent to angle S

- Angle D is congruent to angle T

- Triangle D C A is congruent to triangle T S R

- Triangle D C A is similar to triangle T S R

- Triangle C A D is similar to triangle T R S

- Triangle C A D is congruent to triangle T R S

Step-by-step explanation:

See attached image for more information;

Angle C = 180 - (60+74.9) = 45.1°

Angle T = 180 - (74.9+45.1) = 60°

Therefore;

Angle C = Angle S = 45.1°

Angle D = Angle T = 60°

And

Triangle D C A is similar to triangle T S R

(Note the order of the letters)

The two triangles are not congruent because the length of their sides are not the same.

3 0

3 years ago