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Irina-Kira [14]
3 years ago
12

Int he figure below find AC

Mathematics
1 answer:
Ahat [919]3 years ago
7 0

Given :-

  • Two triangles with their two angles equal .

To Find :-

  • Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

  • \angle CAB = \angleCED (given )
  • \angle CBA = \angleCDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

<u>Hence</u><u> the</u><u> </u><u>measure</u><u> of</u><u> </u><u>side </u><u>AC </u><u>is </u><u>6</u><u> </u><u>.</u>

I hope this helps.

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In your own words, describe the process of multiplying binomials using the FOIL method. You can either write a paragraph describ
neonofarm [45]

Answer:

We can describe FOIL using the distributive property of multiplication. For real numbers x, y, and z the distributive property of multiplication states that

(x + y)z = xz + yz

Now let z = v + w, where v and w are real numbers.

Then (x + y)(v + w) = x(v + w) + y(v + w)

Here, we can again use the distributive property of multiplication to get

x(v + w) + y(v + w) = xv + xw + yv + yw

Hence, it follows that

(x + y)(v + w) = xv + xw + yv + yw

This is the method of FOIL (first: xv, outside: xw, inside: yv, last: yw)

For example, (1 + 2)(3 + 4) = 21 \\\text{and} \\1(3) + 1(4) + 2(3) + 2(4) = 3 + 4 + 6 + 8 = 21

5 0
3 years ago
A line segment has a midpoint of (1, 3/2). If one endpoint is (4,3), what is the other endpoint?
andrew11 [14]

Answer:

(-2, 0)

Step-by-step explanation:

midpoint formula :)

8 0
3 years ago
On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took
dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score <em>s</em>. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for <em>s</em>:

\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5

Let's call the score of the reality TV star <em>r</em>. If we add their score to the set, we now have <em>12</em> scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

\dfrac{1116.5+r}{12}=98.04

We can now solve for r algebraically, first by multiplying both sides by 12:

1116.5+r=98.04(12)\\1116.5+r=1176.48

And then subtracting 1116.5 from both sides:

r=1176.48-1116.5\\r=59.98

6 0
3 years ago
How old is the expanded notation method work
Akimi4 [234]
Well, 
For example 

2.34 * 10^6 will be....
2,340,000
It is because if you have the positive powers, you move your decimal to the right. In this case the power is 6 so you move your decimal to the right 6 times. 
Here's another example

1.23 X 10^-2 
The answer will be 0.0123 because you move your decimal two the left two times. The power is negative 2 so you move it to the left.

Final tips: If you have positive power, move it to the right and if you have negative power, move it to the left.
3 0
3 years ago
(-4,9);m=-1/2<br> Write the equation in point slope form
marin [14]
Wait wha i don’t know
6 0
3 years ago
Read 2 more answers
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