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LUCKY_DIMON [66]
3 years ago
14

Please help. Question is in the picture

Mathematics
1 answer:
iragen [17]3 years ago
5 0

Hey,here is the answer to ur question..!
1.BD=AE (given)
2. Ci Is the midpoint of BD and AE (given)
3. AC=EC (Cis the midpoint Of AE)
4. BC=DC (midpoint theorem)
5.angle ACB and angle ECD are vertical angles ( definition of vertical angles)
6. angle ACB=angle ECD (vertical angle theorem)
7.triangle ABC Is congruent to triangle EDC ( SSS criterion rule)
Hope this helps u....!!!

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Which is the simplified form of the expression 3(7/5x+4) - 2(3/2 - 5/4x)?
Kruka [31]

Answer:

B. \frac{67}{10} x + 9

Step-by-step explanation:

Simplify the expression. Remember to go by the order of operations, or PEMDAS.

1) First, distribute the numbers outside of the set of parentheses to the terms inside the set of parentheses next to them. Then, simplify the fractions.

3(\frac{7}{5} x + 4) -2 (\frac{3}{2} -\frac{5}{4} x)

\frac{21}{5}x + 12  - \frac{6}{2} + \frac{10}{4} x

\frac{21}{5} x + 12 - 3 + \frac{10}{4} x

2) Finally, combine like terms. (This means to add or subtract constants and to add or subtract terms with the same variables.) You may need to convert terms to the same denominator in order to do so easier. Then, reduce the fraction.

\frac{21}{5} x + 9 + \frac{10}{4}x \\\frac{84}{20}x + \frac{50}{20}x + 9 \\\frac{134}{20}x + 9 \\\frac{67}{10}x + 9

Thus, the answer is \frac{67}{10} x + 9.

8 0
3 years ago
How do you do this and what are the answers
scoray [572]
I can answer 1 to 4...
The area of a circle can be found by \pi r^{2}. Reminder: \pi = 3.14 (usually used when finding out the area of a circle)

1. 4^{2} = 16
\pi *16 or 3.14 * 16 = 50.24
50.24/4=12.56

2. 6^{2} = 36
\pi *36 or 3.14 * 36 = 113.04
113.04/10=11.304

(Not really sure if this is correct) 3. 2^{2}=4
\pi *4 or 3.14 * 4
12.56/2.66666667=11.70999999

4. 6^{2}=36
\pi *36= 113.04
113.04/6=18.84
5 0
3 years ago
Please I really need help
ohaa [14]

9514 1404 393

Answer:

  • scale factor: 3
  • rule: (x, y) ⇒ (3x +15, 3y -24)
  • center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

  B-C = (-2, 8) -(-4, 9) = (2, -1)

  Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

  ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

__

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

  k(B -O) = (Q -O)

Solving for Q, we get ...

  Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

  Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

  Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

  (x, y) ⇒ k(x, y) +(15, -24)

  (x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

__

The center of dilation can be found from ...

  (Q -kB)/(1 -k) = O

  O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

<em>Additional comments</em>

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0
3 years ago
For every 15 students on a field trip, there needs to be one teacher. What is minimum number of teachers needed for a group of 1
jonny [76]

Answer:

7 teachers

Step-by-step explanation:

you decide 100 by 15 which equals 6.7 since you can't have half a teacher you round it to 7 teachers.

6 0
3 years ago
Read 2 more answers
Sadie used 333.3 gallons of water over the course of 3 days. How much water did Sadie use, on average, each day?
Rashid [163]

Answer: 111.1

Step-by-step explanation: 333.3/3 = 111.1

3 0
3 years ago
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