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3 years ago

Using square ABCD, calculate the measure of ZEDC, if mZECD = 45°. =

Mathematics

2 answers:

never [62]3 years ago

8 0

Answer:

Step-by-step explanation:

In square, the diagonals bisect each other at 90,

∠DEC = 90°

ED = EC

So, ΔECD is isosceles triangle.

Angles opposite to equal sides are equal.

∠EDC = ∠ECD = 45

pantera1 [17]3 years ago

7 0

Answer:

45°

Step-by-step explanation:

Two diagonals of a square intersect at right angle, I.e., 90°

BD and AC are two such diagonals of the square ABCD.

Since, they intersect at 90°:

∠DEC = 90°

We're given the value of ∠ECD and that is 45°

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Observing</u><u> </u><u>Triangle EDC:</u></h3>

<em>Sum of all angles in a triangle = 180°</em>

=> ∠DEC + ∠ECD + ∠EDC = 180°

=> 90 + 45 + ∠EDC = 180°

=> 135 + ∠EDC = 180

=> ∠EDC = 180 - 135

<u>=> ∠EDC = 45</u>

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

<h3><u>Answer</u><u>:</u></h3>

Hence, we know the value of ∠EDC and that is 45°

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The graph of y=x^3 is transformed as shown in the graph below. Which equation represents the transformed function?

omeli [17]

Answer:

y = (-x)^3 - 4

Step-by-step explanation:

Ok, for the function:

y = x^3

When x = 0, we have:

y = 0^3 = 0

So the original graph passes through the point (0, 0)

If we look at the given graph, we can see that the y-intercept (the value of y when x = 0) is:

y = -4

So, this is the graph of y = x^3 moved down 4 units.

You can also see that the graph goes downward as x increases (and up as x decreases) while for the function:

y = x^3

as x increases, we should see that y also increases.

Then we have a reflection across the x-axis.

Ok, now let's describe a vertical shift.

For a general function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

if N is positive, the shift is upwards

if N is negative, the shift is downwards.

And for a function f(x), a reflection across the x-axis is written as:

g(x) = - f(x)

Here we first apply the reflection across the x-axis, so we get:

g(x) = -f(x)

now we apply the shift 4 units downwards

g(x) = - f(x) - 4

replacing f(x) by our function, x^3

we get:

g(x) = -x^3 - 4

And because of the odd power, we can write:

-x^3 = (-x)^3

Then the function is:

g(x) = (-x)^3 - 4

The correct option is the last one.

y = (-x)^3 - 4

3 0

3 years ago

Question

meriva

Question:

In a neighbourhood pet show, each of the animals entered is equally likely to win. if there are 7 dogs, 6 cats, 3 birds, and 2 gerbils entered, what is the probability that a bird will win the top prize?

Answer:

Probability that a bird will win the top prize is 0.167

Step-by-step explanation:

Given:

The number of dogs = 7

The number of cats = 6

The number of birds = 3

The number of gerbils = 2

To Find:

Probability that a bird will win the top prize = ?

Solution:

Let us first find the total number of pets .

The Total number of pets = 7 + 6 + 3 + 2 = 18

Now the probability of a bird will win the top prize is

=> $\frac{\text {Number of birds}}{\text{ Total number of pets}}$

=> $\frac{3}{18}$

=> $\frac{1}{6}$

=>0.167

4 0

3 years ago

Find the value of x. 6 8 4 x

snow_tiger [21]

Answer:

3

Explanation:

4 is half of 8 on the right side, so that means X has to be half of 6, so it’s 3. Also, it couldn’t be 2 because it is too big, and it can’t be 4 because it isn’t the same length as the other 4, so it’s 3

8 0

3 years ago

Each day, Karen makes 45 loaves of bread at the bakery where she works. Each loaf of bread requires 5 cups of flour. One pound o

xxTIMURxx [149]

Answer: 5cups of flour = 1 loaf of bread

45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.

225 cups of flour divided by 4 = 56.25 pounds of flour.

6 0

3 years ago

Read 2 more answers

Evaluate 0.00048×0.81×10×(10)-7 ÷0.027×0.04x(10)6

alexandr402 [8]

Answer:

Step-by-step explanation:

0.00048*.81=0.0003888

0.0003888*10=0.003888

0.003888*(10)=0.3888

0.3888-7=-6.6112

-6.6112*0.027=-224.8592593

-224.8592593*0.04= -9.794370372

-9.794370372*(10)=-97.94370372

-97.94370372*6= -587.6622223

5 0

1 year ago