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3 years ago

Find the size of unknown angles

Mathematics

1 answer:

Luden [163]3 years ago

4 0

Answer:

ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees

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<img src="https://tex.z-dn.net/?f=5x%5E%7B2%7D%20-%2015x-4%3D0" id="TexFormula1" title="5x^{2} - 15x-4=0" alt="5x^{2} - 15x-4=0"

Brrunno [24]

Answer:

Step-by-step explanation:

5x² - 15x - 4 = 0

Add 4 to both sides.

5x² - 15x = 4

The coefficient of 5x² is 5, divide both sides by 5.

x² - 3x = 4/5

The coefficient of -3x is -3. Let b=-3.

Then we need to add (b/2)^2=9/4 to both sides to complete the square.

Add 9/4 to both sides.

x² - 3x + 9/4 = 61/20

Factor left side.

(x-3/2)² = 61/20

Take square root of both sides.

x-3/2 = ± √(61/20)

Add 3/2 to both sides.

x = 3/2 ± √(61/20)

8 0

4 years ago

What is the perimeter

Yuri [45]

Answer:

the answer is 10 6/3 20/10 1/2

Step-by-step explanation:

5 0

3 years ago

The taxiways and runways of a major airport are carefully monitored to expedite takeoffs and landings and to prevent collisions.

tatyana61 [14]

Answer:

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Suppose the mean number of deviations and incursions per year at the Los Angeles International Airport (LAX) is 2.

This means that $\mu = 2$

Find the probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

This is P(X = 3).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

4 0

3 years ago

20 divided by 2 (5 5)=

Anni [7]

20 ÷ 2 (5,5)
20 ÷ 2 (25)
20 ÷ 50
.4

8 0

4 years ago

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Natasha_Volkova [10]

Answer:

B. The graph flips over the x-axis

Step-by-step explanation:

Properties of : c · f(x)

- Graph opens wider/more narrow

- If the absolute value of c is greater than one, the shape narrows

- If the absolute value of c is less than one, it widens

- It can also affect any applied horizontal/vertical shifts

- If c is negative, the shape is reflected over the x-axis (upside-down)

In this case, the question is only asking if the function flips a certain way. As seen, "c," (as shown above) is -1, which is less than one. This means that the function will be flipped over the x-axis.

7 0

3 years ago