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3 years ago

Find the measure of each angle and tell which postulates or theorems you used ?

Mathematics

1 answer:

Illusion [34]3 years ago

7 0

Answer:

∠6=78° ∠7=102° ∠14=78°

Step-by-step explanation:

Angles 6 and 7 are supplementary angles so ∠a+∠b=180°

in this case it would be 102°+x=180° and you subtract 102° from 180° getting 78°

∠7 is the vertical angles postulate stating that any angles vertical to each other are eaqual

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If the cost of producing a product that sells for $50 is 120,000 plus $20.00 per piece, then how many products must be sold to b

Vadim26 [7]

Let
x--------->number of products
y1--------> the cost of producing a product
y2------> the cost of sell a product

we know that
y1=120,000+20x-------> equation 1
y2=50x------> equation 2

equate equation 1 and equation 2
120,000+20x=50x
50x-20x=120,000
30x=120,000
x=4000

the answer is
4000 pieces

4 0

3 years ago

Please help! I only have 30 minutes!

Allushta [10]

Answer:

Statements 1, 4, 5, 6

Step-by-step explanation:

None of the residuals is zero which means no point lies on the line

The residuals are all between -1 and 1, so are quite small

Making the regression line a good fit

5 0

3 years ago

find the probability of exactly two successes in five trials of a binomial experiment in which the probability of success is 50%

HACTEHA [7]

ANSWER: 31.25%

Explaination:

Suppose (x+y) $(x+y)^{5}$ is the binomial distribution with 5 trials. Given that, probability of exactly two success in five trials of a binomial experiment in which the probability of success is 50%.

So, x = 0.5 and y = 0.5

The term

5C2*x²*y³ representing 2 successes and 3 failures.

Now find the value of this term.

5C2*(0.5)²*(0.5)³ = $\frac{5!}{2!3!}$ * $(0.5)^{5}$

=10*0.03125

= 31.25%

6 0

3 years ago

The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of

Naddik [55]

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph $y=(x-3)^2$ is x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

$x=3-4\\x=-1$

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly