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Naddika [18.5K]
3 years ago
14

If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0

Answer:

x = ∞ infinite solutions or 0

HI = infinite solutions

ID = infinite solutions.

Step-by-step explanation:

Oh okay I got this now!

ID + HI = DH

ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)

ID - 4 = 2x + 10 (add 4 on both sides)

ID = 2x + 14

So now ID + HI = DH

2x + 14 + 2x - 4 = 4x + 10 (simplify)

4x + 10 = 4x + 10 (subtract 10 on both sides)

4x = 4x (minus 4x on both sides)

0 = 0

I would plug in 0 as x.

Hope this helps!

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You have $33. You want to buy a necklace and one other item from the list. a. Write an inequality to represent the situation. Le
Kitty [74]

Answer:

The inequality for amount x (in dollars) is given by

 x ≤ $33 - (cost of necklace).

Step-by-step explanation:

Let the cost of the necklace be $ y.

The amount for the necklace is constant and it is less than $33 and it is also known that the amount for the necklace will be spent.

Therefore after the necklace has been purchased and the amount deducted from $33 the remaining amount can be used completely or partly to purchase the other item.

Let  the cost in dollars of the other item be $x.

The inequality for amount x (in dollars) is given by

 x ≤ $33 - (cost of necklace)

6 0
3 years ago
Suppose a spider was able to create one thread that would extend from the top-right back corner of a room to the bottom-left fro
NNADVOKAT [17]

Answer:

d^2 = 30^2 + 12^2

e^2 = d^2 + 8^2

e^2 = 30^2 + 12^2 + 8^2

e = √(30^2 + 12^2 + 8^2) = 33.3 ft

7 0
3 years ago
Read 2 more answers
What is the balance after 7 years if you deposit $2800 in an account that pays 4% interest compounded yearly ?
SVEN [57.7K]

Answer:the balance after 7 years is $3216

Step-by-step explanation:

A) Initial amount deposited into the account is $2800 This means that the principal,

P = 2800

It was compounded yearly. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4%. So

r = 4/100 = 0.04

It was compounded for 7 years. So

t = 7

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 2800(1 + 0.04/2)^ 1× 7

A = 2800(1 + 0.02)^7

A = 2800(1.02)^7

A = $3216

6 0
3 years ago
What is the value of the y-coordinate of point A
kap26 [50]

Answer:  -\dfrac{1}{2}

<u>Step-by-step explanation:</u>

The coordinate at -30° <em>(-30° = 330°)</em> = \bigg(\dfrac{\sqrt3}{2},-\dfrac{1}{2}\bigg)\\

the x-value is  \dfrac{\sqrt3}{2}

the y-value is  -\dfrac{1}{2}\\

6 0
3 years ago
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vodomira [7]

Answer:

21/50

Step-by-step explanation:

Given that Jackson's sweets from last Halloween from last year was 42% chocolate, we can assume he had a total of 100 sweets.

Out of 100 sweets, 42 pieces are chocolate, so:

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When simplifying this fraction into its simplest form, the most you can do is divide the numerator(top) and denominator(bottom) by 2.

Your result would be 21/50

Hope this helps!

4 0
3 years ago
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