Multi - Step<br><br><br><br> Solve Each Equation

If triangle ABC is Congruent with triangle DEF the length of side DE is:

amid [387]

AB is congruent to side DE.

So,

AB= 23 and DE= 23

I hope this helps!
~kaikers

5 0

3 years ago

The leg of a right triangle is 3 units and the hypotenuse is 11 units. What is the length, in units, of the other leg of the tri

son4ous [18]

Answer:

D

Step-by-step explanation:

8 0

2 years ago

Examine the following steps. Which do you think you might use to prove the identity Tangent (x) = StartFraction tangent (x) + ta

Over [174]

Answer:

The correct options are;

1) Write tan(x + y) as sin(x + y) over cos(x + y)

2) Use the sum identity for sine to rewrite the numerator

3) Use the sum identity for cosine to rewrite the denominator

4) Divide both the numerator and denominator by cos(x)·cos(y)

5) Simplify fractions by dividing out common factors or using the tangent quotient identity

Step-by-step explanation:

Given that the required identity is Tangent (x + y) = (tangent (x) + tangent (y))/(1 - tangent(x) × tangent (y)), we have;

tan(x + y) = sin(x + y)/(cos(x + y))

sin(x + y)/(cos(x + y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y) - sin(x)·sin(y)) = (Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y))

(Sin(x)·cos(y) + cos(x)·sin(y))/(cos(x)·cos(y))/(cos(x)·cos(y) - sin(x)·sin(y))/(cos(x)·cos(y)) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

∴ tan(x + y) = (tan(x) + tan(y))(1 - tan(x)·tan(y)

6 0

2 years ago

Read 2 more answers

In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 t

JulsSmile [24]

Answer:

<h3>If the taste tester takes 10 minutes to eat a cheeseburger, then it would take him is $3276\times 10 = 32760$ minutes Eating round the clock, it would take him is $\frac{546}{24} = 22 days 18 hours$ </h3>

Step-by-step explanation:

Given that "In order to develop a more appealing cheeseburger, a franchise used taste tests with 13 different buns, 5 different cheeses, 2 type of lettuce, and 3 types of tomatoes"

From the given we can write

13 buns

8 cheese

4 lettuces

3 tomatoes

∴ There would be different cheeseburger combinations is given by

$13\times 8\times 4\times 3 = 3,276$

Given that if the taste tester takes 10 minutes to eat a cheeseburger, then it would take him

$3276\times 10 = 32760$ minutes

Eating round the clock, it would take him

$\frac{32760}{60}=546$ hours

$\frac{546}{24} = 22 days 18 hours$

3 0

3 years ago

What’s the answer to this? I need to do this for extra credit and I have no idea what this is

sergiy2304 [10]

9514 1404 393

Answer:

20

Step-by-step explanation:

As with any evaluation problem, take it step by step according to the order of operations.

The first thing you need to do here is compute a#b.

The given definition can be simplified a bit for evaluation purposes:

a#b = a²b -ab² = ab(a -b)

Then for a=3 and b=-2, you have ...

(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30

Now, you are in a position to evaluate the expression you're asked for.

$\dfrac{(a\#b)^2}{15-(a\#b)}=\dfrac{(-30)^2}{15-(-30)}=\dfrac{900}{45}=\boxed{20}$

4 0

2 years ago

Multi - Step Solve Each Equation