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Likurg_2 [28]
3 years ago
8

Find the variable x in the figure if AB ll CD ll EF where c and d are the midpoints of AE and BF.

Mathematics
1 answer:
dangina [55]3 years ago
5 0
CD is called the middle base and is equal to :(AB + EF)/2

CD = <span>(AB + EF)/2

4x = [(x</span>²+10) + (8-x)]/2

8x = x²+10+8-x

8x= x²-x+18
x²-9x+18 = 0

x' = [-b+√(b²-4.a.c)]/2a       & x" = [-b-√(b<span>²-4.a.c)]/2a

x'= 6  and x" = 3, So we have2 values of x</span>
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The sum of two numbers is 14. The larger number minus three times the lesser number is -2. What is the lesser number?
V125BC [204]

Answer:

c) 4

Step-by-step explanation:

<u><em>The sum of two numbers is 14. The larger number minus three times the lesser number is -2</em></u>

<u><em /></u>

To solve this question, we need to write the statement mathematically;

Let the two numbers be x and y

"The sum of two numbers is 14" can be mathematically written as x+y = 14

and

"The larger number minus three times the lesser number is -2" can be mathematically written as x -  3y  = -2

x + y = 14  ------------------(1)

x - 3y= -2 -------------------(2)

Subtract equation (2) from equation (1)

[x - x = 0          y - (-3y)=4y     14-(-2)=16]

4y  = 16

To get the value of y divide both-side of the equation by 4

4y/4 = 16/4

y  =   4

Substitute y=4 into equation (1)

x + y =14

x +4 =14

Subtract 4 from both-side of the equation

x + 4 -4  = 10]-4

x = 10

x=10 and y =4

Therefore the lesser number is 4

7 0
3 years ago
Luis jumped 73 inches. Kathy jumped 59 inches
hammer [34]

Answer:

14

Step-by-step explanation:

73 - 59=14

4 0
3 years ago
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it rained nine days in the month of april .based on this ,what is the probaility that is does not rain on the first day of may?​
attashe74 [19]
<h3>Answer:     7/10</h3>

==========================================================

Explanation:

There are 30 days in April. Since it rained 9 of those days, the empirical probability of it raining in April is 9/30 = (3*3)/(3*10) = 3/10.

If we assume that the same conditions (ie weather patterns) hold for May, then the empirical probability of it raining in May is also 3/10. By "raining in May", I mean specifically raining on a certain day of that month.

The empirical probability of it not raining on the first of May is therefore...

1 - (probability it rains)

1 - (3/10)

(10/10) - (3/10)

(10-3)/10

7/10

We can think of it like if we had a 10 day period, and 3 of those days it rains while the remaining 7 it does not rain.

6 0
3 years ago
Complete the table below y=mx+b
iVinArrow [24]

Answer:

I don't see a table or anything that has an attachment ????

Step-by-step explanation:

8 0
3 years ago
Plz help I will mark brainliest if correct ​
Alekssandra [29.7K]

Answer:

A ................................

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