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3 years ago

Please Help! The following is an isosceles trapezoid, find m < J

Mathematics

1 answer:

ra1l [238]3 years ago

3 0

Answer:

<em>The measure of angle J is 44°</em>

Step-by-step explanation:

<u>Isosceles Trapezoid</u>

The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.

It means: Angle J is congruent with angle K and angle M is congruent with angle L

The sum of angles in a trapezoid is 180*(4-2)=360°

Thus:

$m\angle J+m\angle K+m \angle M+m\angle L = 360^\circ$

$7x+2+7x+2+25x-14+25x-14=360$

Joining like terms:

$64x-24=360$

Adding 24:

$64x=384$

Dividing by 64:

x=6°

Thus:

$m\angle J = 7*6+2=44^\circ$

$m\angle M = 25*6-14=136^\circ$

The measure of angle J is 44°

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Which answer is a reasonable estimate to the following problem? 94 · 689

tino4ka555 [31]

94x689=64,766
if you round it to the nearest ten you get 90x690=62100
62100 is closer to 60,000 than it is to 70,000.
so you would round it down to 60,000.

8 0

2 years ago

On a coordinate plane, a line has points (negative 2, negative 4) and (4, 2). Point P is at (0, 4). Which points lie on the line

NikAS [45]

Answer:

the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

Step-by-step explanation:

Given that a line passes through two points

A(-2, -4) and B(4, 2)

Another point P(0, 4)

To find:

Which points lie on the line that passes through P and is parallel to line AB ?

Solution:

First of all, let us the find the equation of the line which is parallel to AB and passes through point P.

Parallel lines have the same slope.

Slope of a line is given as:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{2-(-4)}{4-(-2)} = 1$

Now, using slope intercept form ( $y = mx+c$ ) of a line, we can write the equation of line parallel to AB:

$y =(1)x+c \Rightarrow y = x+c$

Now, putting the point P(0,4) to find c:

$4 = 0 +c \Rightarrow c = 4$

So, the equation is $\bold{y=x+4}$

So, the coordinates given in the options which have value of y coordinate equal to 4 greater than x coordinate will be true.

So, the correct options are:

(–1, 3), (–2, 2) and (–5, –1)

8 0

2 years ago

Read 2 more answers

Brand Number of Packets Cost

mash [69]

Brand 2 is the best value ⇒ B

Step-by-step explanation:

Let us write the Brand, Number of Packets and Cost

→ Brand : Number of Packets : Cost
→ 1 : 12 : $10.68
→ 2 : 16 : $9.44
→ 3 : 18 : $15.30
→ 4 : 24 : $21.84
→ 5 : 30 : $20.40

We need to find what brand is the best value

To find that let us find the price of each packet in each brand, by dividing the price of the brand by the number of the packets, the cheapest price is the best

∵ Brand 1 has 12 packets

∵ The price of Brand 1 is $10.68

∴ The price of each packet = 10.68 ÷ 12 = 0.89

∴ The price of each packet in Brand 1 is $0.89

∵ Brand 2 has 16 packets

∵ The price of Brand 2 is $9.44

∴ The price of each packet = 9.44 ÷ 16 = 0.59

∴ The price of each packet in Brand 2 is $0.59

∵ Brand 3 has 18 packets

∵ The price of Brand 3 is $15.30

∴ The price of each packet = 15.30 ÷ 18 = 0.85

∴ The price of each packet in Brand 3 is $0.85

∵ Brand 4 has 24 packets

∵ The price of Brand 4 is $21.84

∴ The price of each packet = 21.84 ÷ 24 = 0.91

∴ The price of each packet in Brand 4 is $0.91

∵ Brand 5 has 30 packets

∵ The price of Brand 5 is $20.40

∴ The price of each packet = 20.40 ÷ 30 = 0.68

∴ The price of each packet in Brand 5 is $0.68

∵ The least price of a packet is in Brand 2

∴ The cheapest price is Brand 2

Brand 2 is the best value

Learn more:

You can learn more about the word problems in brainly.com/question/2686310

#LearnwithBrainly

8 0

3 years ago

[6 points] Prove Bayes’ Theorem. Briefly explain why it is useful for machine learning problems, i.e., by converting posterior p

djverab [1.8K]

Answer: Mathematically Bayes’ theorem is defined as

P(A\B)=P(B\A) ×P(A)

P(B)

Bayes theorem is defined as where A and B are events, P(A|B) is the conditional probability that event A occurs given that event B has already occurred (P(B|A) has the same meaning but with the roles of A and B reversed) and P(A) and P(B) are the marginal probabilities of event A and event B occurring respectively.

Step-by-step explanation: for example, picking a card from a pack of traditional playing cards. There are 52 cards in the pack, 26 of them are red and 26 are black. What is the probability of the card being a 4 given that we know the card is red?

To convert this into the math symbols that we see above we can say that event A is the event that the card picked is a 4 and event B is the card being red. Hence, P(A|B) in the equation above is P(4|red) in our example, and this is what we want to calculate. We previously worked out that this probability is equal to 1/13 (there 26 red cards and 2 of those are 4's) but let’s calculate this using Bayes’ theorem.

We need to find the probabilities for the terms on the right-hand side. They are:

P(B|A) = P(red|4) = 1/2

P(A) = P(4) = 4/52 = 1/13

P(B) = P(red) = 1/2

When we substitute these numbers into the equation for Bayes’ theorem above we get 1/13, which is the answer that we were expecting.

7 0

3 years ago

Please help double points!!

just olya [345]

Answer: you need to show what are the options

Step-by-step explanation:

5 0

2 years ago