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3 years ago

Solve for x in the following figure. Choose the appropriate result.

Mathematics

2 answers:

pickupchik [31]3 years ago

8 0

Answer:

Step-by-step explanation:

all of the angles add up to equal 180 so we setup the equation as 45+3x=180

first you subtract each side by 45

135=3x

then you divide each side by 3 and get that

x=45

frosja888 [35]3 years ago

4 0

Answer:

D, 45°

Step-by-step explanation:

at $x=45$

the resulting angles would be $45, 90, 45$ and these add up to $180$ °

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Solve the system of equations please:<br> y=(x^2)+3x-6<br> y=x+2

yawa3891 [41]

Answer:

(- 4, - 2 ) and (2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x² + 3x - 6 → (1)

y = x + 2 → (2)

Substitute y = x² + 3x - 6 into (2)

x² + 3x - 6 = x + 2 ( subtract x + 2 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 → y = - 4 + 2 = - 2 ⇒ (- 4, - 2 )

x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )

7 0

3 years ago

If parallelogram ABCD was reflected over the y-axis, reflected over the x-axis, and

Gnesinka [82]

Answer:

-4,1

Step-by-step explanation:

6 0

3 years ago

Can someone help me i am stuck on my quetsion

LenaWriter [7]

Fairly certain the answer is C

3 0

3 years ago

Football Air Pressure During the National Football League’s 2014 AFC championship game, officials measured the air pressure on 1

lord [1]

Answer:

The null hypothesis is: $H_0 :\mu = 12.5$

The alternative hypothesis is: $H_a :\mu$

Step-by-step explanation:

Consider the provided information.

It is given that the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi.

The null hypothesis indicates that there is no substantial difference between given populations, due to sampling or experimental error, any observed difference.

Therefore, the null hypothesis is: $H_0 :\mu = 12.5$

The required alternative hypothesis is: $H_a :\mu$

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3 years ago

There are 4 consecutive EVEN integers that have a sum of 268. What are the integers?

eimsori [14]

64 + 66 + 68 + 70

hope this helps!

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2 years ago