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Amiraneli [1.4K]
2 years ago
13

In the trapezoid at the right, BE= 2x-8, DE= x-4, and AC= x+2

Mathematics
1 answer:
Marta_Voda [28]2 years ago
5 0

Answer:

A.  x = 5 (Equation below)

B. AC = 9 | BD = 9

Step-by-step explanation:

A. Since we know the diagonals of an isosceles trapezoid are congruent, we know that the two bottom parts of the diagonal BD (2x - 8 and x - 4) are congruent to the diagonal AC (x + 2) . This means you can just equal them together and get the value of x:

2x - 8 + x - 4 = x + 2

3x - 12 = x + 2

3x = x + 14

2x = 14

x = 7

B. Just plug in 5 for x:

AC = x + 2 = 7 + 2 = 9

BD = 2x - 8 + x -4 = 3x - 12 = 21 - 12 = 9

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Sladkaya [172]

It is -11.34

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3 0
1 year ago
ALGEBRA Jake Duffy drove 12,568 miles
kirza4 [7]

Answer:

The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B  

Step-by-step explanation:

Given as :

The distance drove by Jack Duffy = d = 12,568 miles

The fixed costs totaled = $1,485.00

The variable cost totaled = $2,015.75

Let The cost per mile that Jack Duffy charge = $x cost per miles

Now, According to question

The totaled cost = The fixed costs + The variable cost

Or, The totaled cost = $1,485.00 + $2,015.75

I.e  The totaled cost = $3500.75

Now,

The cost per mile that Jack Duffy charge = \dfrac{\extrm Total cost}{\textrm Total Distance}

I.e x = \dfrac{3500.75}{12568}

∴ x = $0.278 per miles

So,The cost per mile that Jack Duffy charge = x = $0.278 per miles .

Hence,The cost per mile that Jack Duffy charge $0.278 per miles , i.e option B  Answer

5 0
2 years ago
in one month, Jason earns $32.50 less than twice the amount Kevin earns Jason earns $212.50 write and solve an algebraic equatio
hoa [83]
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4 0
2 years ago
Read 2 more answers
Ed is 7 years older than Ted. Ed’s age is also 3/4 times Ted’s age. How old are Ed and Ted?
svetlana [45]
Let Ted be x.

Ed is 7 years older =  x  + 7

Ed = (3/4)Ted

(x + 7) = (3/4)x

x + 7 = 3x/4

x - 3x/4 = -7

x/4 = -7

x = -28,           Ted = -28 years.

(x + 7) = -28 + 7 = -21,      Ed = -21 years

Goodness. We had negative numbers for the ages, well does that make sense?  No it doesn't.

Our answer is correct. But the sense in the question is lacking. The question has been wrongly set.

<span>We might assume negative ages to mean before they came into the world, before birth! </span>
7 0
2 years ago
The amount of garbage, G, in tons per week, produced by a city with population p, measured in thousands of people, is given by G
ExtremeBDS [4]

Answer:

12 = f(40)

Step-by-step explanation:

From the given information:

We are being told that:

G = tons per week

p = people in thousands

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Then, we have:

12 = f(40)

4 0
2 years ago
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