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3 years ago

Which fact would help you to solve for x in the diagram shown?

Mathematics

1 answer:

Gnoma [55]3 years ago

5 0

Answer:

(A) Angles in equilateral triangle are congruent

Step-by-step explanation:

From the figure, it can be seen that in triangle ABD, $AB=BD=AD$ which means that all the sides of the triangle are congruent and by the definition of equilateral triangle, ΔABD will be an equilateral triangle.

Therefore, Using the property that Angles in equilateral triangle are congruent, we can find the value of x.

Thus, option A is correct.

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42 is 150% of what number

Helen [10]

Step-by-step explanation:

the answers is 90. because 75.8

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3 years ago

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Anyone know the answer to this?

kiruha [24]

Answer:

Step-by-step explanation:

Angle ABD = Angle CBD + Angle ABC

You know ABD is 70, CBD and ABC are in terms of x

70 = 5x + 13 + 3x + 33

70 - 13 - 33 = 8x

24 = 8x

3 = x

Replacing x in Angle ABC:

3 * 3 + 33 = 42

6 0

4 years ago

In the triangle below, 4/5 represents which ratio?

ASHA 777 [7]

Answer:
sin (C)

Explanation:
In a right-angled triangle, special trig functions can be applied. These functions are as follows:
sin (theta) = $\frac{opposite}{hypotenuse}$

cos (theta) = $\frac{adjacent}{hypotenuse}$

tan (theta) = $\frac{opposite}{adjacent}$ 

Now, let's check the triangle we have:
We have two options:
First option:
5 is the hypotenuse of the triangle
4 is the side adjacent to angle B
Therefore, we can apply the cos function:
cos (B) = $\frac{4}{5}$ 

Second option:
5 is the hypotenuse of the triangle
4 is the side opposite to angle C
Therefore, we can apply the sin function:
sin (C) = $\frac{4}{5}$

Among the two options, the second one is the one found in the choices. Therefore, it will be the correct one.

Hope this helps :)

8 0

4 years ago

Read 2 more answers

What is 12 dollars an hour

Reptile [31]

Answer:

I think you are missing something from the question, but if you were to find out how much you would get paid for a certain amount of hours from $12 per hour, then the formula would be:

Step-by-step explanation:

Let h = no. of hours worked

$12 * h

8 0

3 years ago

Complete parts a through f below to find nonnegative numbers x and y that satisfy the given requirements. Give the optimum value

MArishka [77]

Answer:

y = 81-x
the domain of P(x) is [0, 81]
P is maximized at (x, y) = (54, 27)

Step-by-step explanation:

Given

x plus y equals 81
x and y are non-negative

Find

P equals x squared y is maximized

Solution

a. Solve x plus y equals 81 for y.

y equals 81 minus x

b. Substitute the result from part a into the equation P equals x squared y for the variable that is to be maximized.

P equals x squared left parenthesis 81 minus x right parenthesis

c. Find the domain of the function P found in part b.

left bracket 0 comma 81 right bracket

d. Find dP/dx. Solve the equation dP/dx = 0.

P = 81x² -x³

dP/dx = 162x -3x² = 3x(54 -x) = 0

The zero product rule tells us the solutions to this equation are x=0 and x=54, the values of x that make the factors be zero. x=0 is an extraneous solution for this problem so ...

P is maximized at (x, y) = (54, 27).

7 0

3 years ago