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2 years ago

What are the steps to prove ab=bc

Mathematics

1 answer:

pashok25 [27]2 years ago

4 0

Answer:

The answer is:

AC = AB + BC

and

AC = AB + AB

AB + AB = AB + BC

eliminate the AB before and after the equal sign

And we will have: AB = BC

AC = AB + BC

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If y varies directly as the square root of x and y=12 when x = 16 , find x when y = 15

a_sh-v [17]

= 19 this is the answer I'm guessing since 16-12= 4 so 16 is 4 more than 12

3 0

3 years ago

Given segments AB and CD intersect at E.

nata0808 [166]

The length of a segment is the distance between its endpoints.

$\mathbf{AB = 3\sqrt{2}}$
AB and CD are not congruent
AB does not bisect CD
CD does not bisect AB

(a) Length of AB

We have:

$\mathbf{A = (1,2)}$

$\mathbf{B = (4,5)}$

The length of AB is calculated using the following distance formula

$\mathbf{AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

So, we have:

$\mathbf{AB = \sqrt{(1 - 4)^2 + (2 - 5)^2}}$

$\mathbf{AB = \sqrt{18}}$

Simplify

$\mathbf{AB = 3\sqrt{2}}$

(b) Are AB and CD congruent

First, we calculate the length of CD using:

$\mathbf{CD = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}$

Where:

$\mathbf{C = (2, 4)}$

$\mathbf{D = (2, 1)}$

So, we have:

$\mathbf{CD = \sqrt{(2 -2)^2 + (4 - 1)^2}}$

$\mathbf{CD = \sqrt{9}}$

$\mathbf{CD = 3}$

By comparison

$\mathbf{CD \ne AB}$

Hence, AB and CD are not congruent

(c) AB bisects CD or not?

If AB bisects CD, then:

$\mathbf{AB = \frac 12 \times CD}$

The above equation is not true, because:

$\mathbf{3\sqrt 2 \ne \frac 12 \times 3}$

Hence, AB does not bisect CD

(d) CD bisects AB or not?

If CD bisects AB, then:

$\mathbf{CD = \frac 12 \times AB}$

The above equation is not true, because:

$\mathbf{3 \ne \frac 12 \times 3\sqrt 2}$

Hence, CD does not bisect AB

Read more about lengths and bisections at:

brainly.com/question/20837270

7 0

2 years ago

Can anyone help me please? it’s urgent.

katrin [286]

It said "no association between this dude winning and loss in harsh condition"

now look at harsh condition, total is 20, since there is no association that means they are the same, which is 10 and 10

WIN column total is 168, 158 for normal condition, 10 for harsh condition, adds up to 168.

LOSS column total is 72, 62 for normal condition and 10 for harsh condition, adds up to 72.

if u wana check if it adds up with Normal Condition, 62 plus 158 is 220.

checked, complete, this is david signing off

8 0

2 years ago

Plz answer last question and im lost!

harkovskaia [24]

Answer:

$\pi$ radian

Step-by-step explanation:

We know that angle for a full circle is 2 $\pi$

In the given figure shape is semicircle

hence,

angle for semicircle will be half of angle of full circle

thus, angle for given figure = half of angle for a full circle = 1/2 * 2 $\pi$ = $\pi$

Thus, answer is $\pi$ radian

alternatively, we also know that angle for a straight line is 180 degrees

and 180 degrees is same as $\pi$ radian.

6 0

2 years ago

Simplify the following expression 5 3/10-7.8

True [87]

Answer:

-6.3

Step-by-step explanation:

6 0

2 years ago