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2 years ago

What is the value of x in the diagram below?

Mathematics

1 answer:

Fiesta28 [93]2 years ago

6 0

Answer:

11 = x

Step-by-step explanation:

The given angles are alternate interior angles so they have same measurement

66 = 6x divide both sides by 6

11 = x

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AB and BC form a right angle at point B. If A = (-3,-1) and B = (4,4), what is the equation of BC

m_a_m_a [10]

Answer:

$y=-1.4x+9.6$

Step-by-step explanation:

If A = (-3,-1) and B = (4,4), the slope of AB is

$\text{Slope}_{AB}=\dfrac{-1-4}{-3-4}=\dfrac{-5}{-7}=\dfrac{5}{7}$

Two perpendicular lines have slopes that have product of -1:

$\text{Slopee}_{AB}\cdot \text{Slope}_{BC}=-1\\ \\\dfrac{5}{7}\cdot \text{Slope}_{BC}=-1\\ \\\text{Slope}_{BC}=-\dfrac{7}{5}=-1.4$

The equation of the line BC with slope -1.4 and passing through the point B(4,4) is

$y-4=-1.4(x-4)\\ \\y-4=-1.4x+5.6\\ \\y=-1.4x+9.6$

7 0

3 years ago

An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.

Vedmedyk [2.9K]

30% off an item would make that item valued at 70% of its original price

94 times 0.7 = 65.8

$65.80

4 0

3 years ago

Read 2 more answers

You decided to throw a fair die four times.

Finger [1]

Answer:

If all you care about is whether you roll 2 or not, you get a Binomial distribution with an individual success probability 1/6. The probability of rolling 2 at least two times, is the same as the probability of not rolling 2 at zero or one time.

the answer is, 1 - bin(k=0, n=4, r=1/6) - bin(k=1, n=4, r=1/6). This evaluates to about 13%, just like your result (you just computed all three outcomes satisfying the proposition rather than the two that didn’t).

Step-by-step explanation:

7 0

2 years ago

1. The exponential function modeled below represents the number of square

Umnica [9.8K]

Answer:

600,000 km²

Step-by-step explanation:

Using the exponential regression calculator : the regression fit obtained for the data is :

36510 * (1.08^x)

After 40 years ;

x = 40

Hence,

y = 36510 * 1.08^40

y = 36510 * 21.72452

y = 793,162.27 km

Hence, y is closest to 800,000 km

7 0

2 years ago

a model ship is built to a scale of 1 centimeter: 5 meters. the length of the model is 30 centimeters. what is the actual length

kifflom [539]

The answer is 150 centimeters

5 0

3 years ago