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3 years ago

Are the following figures similar?

Mathematics

2 answers:

aalyn [17]3 years ago

8 0

a no the corresponding angles are not congruent

∠A ≠ ∠E and ∠D ≠ ∠H

Tems11 [23]3 years ago

8 0

Answer:

No, the corresponding angles are not congruent.

Step-by-step explanation:

In the bigger model, the corresponding angles are 1 degree bigger

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What do the numbers listed for an element on the periodic table represent?

maria [59]

Im sure you have your answer by now but would you mind posting the answer

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3 years ago

The minimum temperature for a particular day was 4 Fahrenheit below 0 the maximum was 16 Fahrenheit higher what was the maximum

Talja [164]

16 degrees would be the maximum because it was the hottest temperature recorded.

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3 years ago

The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?

daser333 [38]

Answer:

$d=\frac{3}{2}=1.5$

Step-by-step explanation:

We have the function:

$y=a(x-2)(x-1)$

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are (x-2) and (x-1).

Therefore, our roots/zeros are x=1, 2.

So, the average of them are:

$d=\frac{1+2}{2}=3/2=1.5$

Therefore, regardless of the value of a, the minimum/maximum value will occur at x=d=1.5.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

$y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a$

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

$x=-\frac{b}{2a}$

So, we will substitute -3a for b and a for a. This yields:

$x=-\frac{-3a}{2a}=\frac{3}{2}=1.5$

Confirming our answer.

4 0

2 years ago

Tara wants to attend a four-year college to become a math teacher. Which statements explain the possible differences in total ye

Naddika [18.5K]

Answer:

- A public in-state college charges less for in-state tuition than for out-of-state tuition.
- Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.

Explanation:
If Tara wants to study out of state she could face higher tuition costs; public universities generally favor their residents with lower tuition costs, contrary to the charge for students who comes from other states.
Also, if she wants to study outside the state, Tara would have to analyze the costs of a residence and food that she will have to cover if she studies outside the state. On the contrary, if she studies in the state she could live with her family and only cover the transportation costs.

hope this helps!

7 0

2 years ago

Read 2 more answers

The expression 9n + 3 represents the perimeter (in meters) of the triangle. Write an expression in the simplest form that repres

AlexFokin [52]

Answer:

4n+2

Step-by-step explanation:

add all sides =9n+3
3n+2+2n-1=9n+3
add liketerms 5n+1=9n+3
put liketerms together 9n-5n+3-1
ans hence is 4n+2

5 0

2 years ago