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Maru [420]
1 year ago
5

11. Find the value of x. x=______

Mathematics
1 answer:
Tems11 [23]1 year ago
4 0

Answer: x = 3.5

Step-by-Step Solution:

Let us first label the figure.

Let the Triangle be ABC with a line DE || BC.

Now, in ∆ABC,

DE || BC (given)

=> AD/DB = AE/EC (by B.P.T)

Substituting the given values,

AD/DB = AE/EC

2/4 = x/7

1/2 = x/7

2x = 7

x = 7/2

=> x = 3.5

Therefore, x = 3.5

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What is the equivalent ratio for6/9
otez555 [7]
The equivalent ration for 6/9 would be 6:9
4 0
3 years ago
Carrie Ambrose has family medical coverage through her employer's group medical plan. The annual cost of Carrie's plan is $14,80
Anvisha [2.4K]

Answer:

$4440

Step-by-step explanation:

From the question, the annual cost of the plan is $14800

The employer pays 70% 0f the cost.

⇒70/100 ×14800 =$10360

Remaining amount to pay=

14800-10360=$4440

5 0
3 years ago
 
stepan [7]

Answer:

The probability of selecting a family with exactly one male child is 1/4 or 0.25.

Step-by-step explanation:

Given in the question,

possible outcomes for the children's genders

{FFFF, FFFM,​ FFMF, FMFF,​ MFFF, MFFM,​ MFMF, MMFF,​ FFMM, FMFM,​ FMMF, FMMM,​ MFMM, MMFM,​ MMMF, MMMM}

= 16

To find,

the probability of selecting a family with exactly one male child

<h3>Probability = favourable outcomes / possible outcomes</h3>

favourable outcomes = {FFFM,​ FFMF, FMFF,​ MFFF}

                                    = 4

Probability = 4 / 16

                  = 1 / 4

                  = 0.25    

4 0
3 years ago
Read 2 more answers
A line passes through the points (2,21) and (8,27). Write a linear function rule in terms of x and y for
tatiyna
We have two points so we can find the gradient using y1-y2/x1-x2
gradient = 21-27/2-8
= 1
we know the form for any linear equation is y = mx + c
we have m and a point so we can substitute in point (2,21) to find c
21 = 1 x 2 + c
c = 19
therefore, the equation is y = x + 19
6 0
2 years ago
Read 2 more answers
If you can, please leave an explanation so I can learn how to do it rathe than just copying
castortr0y [4]

Answer:

Point-Slope: y+1=-5/7(x-5)

Slope Intercept: y=-5/7x+ 2 4/7

Standard: -5x+7y=18

Step-by-step explanation:

<u>Slope: -5/7</u>

Point slope is when the equation is in y-y1=m(x-x1) form.

I used the point (5,-1) but it really <u>doesn't matter</u> which one

Substitute it into (x1,y1)

y--1=-5/7(x-5)

y+1=-5/7(x-5) **2 minus signs is equal to 1 plus sign**

Slope-intercept is when the equation is in y=mx+b form.

y=-5/7x+b

To solve for b, plug in one of the points (again, I choose to use (5,-1)

(-1)=-5/7(5)+b

-1=-25/7+b is equal to asking -1=-3 4/7+b

b=2 4/7

Standard form is when it is in Ax+By=C

We'll covert from slope intercept to standard: y=-5/7+ 2 4/7

y=-5/7x+ 2 4/7 is the same as y=(-5/7x+ 18/7)

7y=5x+18 **Multiply both sides by 7, the common denominators**

-5x+7y=18 **Subtract 5x from both sides**

<em>Sorry it took it while to get everything down but I hope this helps~</em>

6 0
3 years ago
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