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AysviL [449]
3 years ago
7

AC=CE and D is the midpoint of CE. If CE = 10x+18 DE = 7x-1 and BC = 9x-3 find AB

Mathematics
1 answer:
Mazyrski [523]3 years ago
8 0

We know the CE = 10x + 18 and DE = 7x - 1 and D is the midpoint of CE

⇒ CE = 2 * DE

⇒ 10x + 18 = 2 * (7x - 1)

⇒ 10x + 18 = 14x - 2

⇒ -4x = -20

⇒ x = 5

Now we also know that BC = 9x - 3 and AC = CE = 10x + 18

⇒ AB = AC - BC

⇒ AB = 10x + 18 - (9x - 3)

⇒ AB = x + 21

Substituting the value of x,

⇒ AB = 5 + 21

⇒ AB = 26

Hence, the value of AB is 26 units.


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BEST ANSWER EARNS BRAINLIEST!
Lady bird [3.3K]
Please mark brainliest 3 more to rankup.

so is how I would solve this is one corner at a time. Since these are all triangles you will solve the area of a corner and divide it by 2. Then you will have the area of a corner.

(7.5 x 5) /2= 18.75
(7.5 x 14) /2=52.5
Mirror this on the other side because they are the same on the other side and then add them all together

(18.75 x 2) + (52.5 x 2) = 142.5

Answer is A
142.5
3 0
3 years ago
Sally is planning a trip for 225 students.
sdas [7]

Answer:

Number of students want to go to Theme Park = 75

Step-by-step explanation:

Note: The given question is incomplete. Complete question is as follow.

Given:

Number of sample student = 30

Place                 Number of students  want to go

Theme Park                          10

Theater                                  5

Sports Center                        8

Seaside                                  7

Find:

How many students want to go to Theme Park.

Computation:

⇒ Probability for  students want to go to Theme Park =  10 / 30

⇒ Probability for  students want to go to Theme Park =  1 / 3

⇒ Number of students want to go to Theme Park =  [1 / 3]225

⇒ Number of students want to go to Theme Park = 75

3 0
3 years ago
A package of 7 erasers cost $0.42. At this rate, how much would 84 erasers cost, in dollars and cents?​
Luda [366]

Answer:

35,28

Step-by-step explanation:

4 0
3 years ago
Lauren wants to save $300,000 to buy a restaurant 10 years from now. How much should she deposit
UNO [17]

Answer: $6444.14 would be deposited quarterly

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

S = $300000

r = 0.08/3 = 0.027

n = 3 × 10 = 30

Therefore,

300000 = R[{(1 + 0.027)^30 - 1)}/0.027][1 + 0.027]

300000 = R[{(1.027)^30 - 1)}/0.027][1.027]

300000 = R[{(2.224 - 1)}/0.027][1.027]

300000 = R[{(1.224)}/0.027][1.027]

300000 = R[45.33][1.027]

300000 = 46.55391R

R = 300000/46.55391

R = 6444.14

4 0
3 years ago
Can someone plz help me with this problem!!!
dsp73

Answer:

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Step-by-step explanation:

8 0
3 years ago
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