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3 years ago

If 10x+2=7 what us 2x

1 answer:

6 0

2x=1

10x+2=7
subtract 2 from both sides
10x=5
divide 10 on both sides
x=1/2, 0.5, or 5/10

Use 1/2 to solve '2x'
2*(1/2)=1

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A building is 3 ft from an 8-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t

zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ $hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}$

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ $x=\sqrt{(13)^2+(11)^2}$

⇒ $x=\sqrt{(169+121)}$

⇒ $x= \sqrt{290}$

⇒ $x=17.02$ feet

The length of the ladder = 17 feet to its nearest tenth.

6 0

4 years ago

21 pointQuadrilateral QRST has diagonals that do NOT bisect each other, are congruent, and are not perpendicular. Which type of

Aleks [24]

Given:

Quadrilateral QRST has diagonals that do NOT bisect each other, are congruent and are not perpendicular.

By checking the options:

Rhombus, rectangle and the square each of them the diagonals bisect each other

So, the answer will be option 4) Isosceles Tra

8 0

1 year ago

You can afford a $1050 per month mortgage payment. You've found a 30 year loan at 7% interest.

anyanavicka [17]

9514 1404 393

Answer:

loan: $157,823
repaid: $378,000
interest: $220,177

Step-by-step explanation:

For a loan value of 1, the monthly payment on a 30 year loan at 7% is ...

A = (0.07/12)/(1 -(1 +0.07/12)^(-12·30)) ≈ 0.00665302495

Then the amount repaid after 360 payments is ...

360A = 2.39508898 . . . times the principal amount

a) For a monthly payment of $1050, the principal can be ...

$1050/0.00665302495 ≈ $157,823

b) The amount repaid to the loan company is ...

$157,823×2.39508898 ≈ $378,000

c) The amount that is interest is ...

$378,000 -157,823 = $220,177

8 0

3 years ago

A family is driving from Phoenix to San Francisco. On a map grid, Phoenix is located at (–12, –16), and San Francisco is located

makkiz [27]

The answer is 34.05

The total distance (D) is the sum of three distances (d1, d2, and d3).

The distance formula is $d = \sqrt{(x2-x1)^{2} +(y2-y1)^{2}}$

Distance 1: Phoenix (–12, –16) to Blythe (–20, –9):
 $d1 = \sqrt{(-20-(-12))^{2} +(-9-(-16))^{2}} =\sqrt{(-20+12)^{2} +(-9+16)^{2}} \\ =\sqrt{(-8)^{2} +(7)^{2}}= \sqrt{64+49} = \sqrt{113}= 10.63$

Distance 2: Blythe (–20, –9) to Los Angeles (–33, –4):
$d2 = \sqrt{(-33-(-20))^{2} +(-4-(-9))^{2}} =\sqrt{(-33+20)^{2} +(-4+9)^{2}} \\ =\sqrt{(-13)^{2} +(5)^{2}}= \sqrt{169+25} = \sqrt{194}= 13.93$

Distance 3: Los Angeles (–33, –4) to San Francisco (–36, 5)
 $d3 = \sqrt{(-36-(-33))^{2} +(5-(-4))^{2}} =\sqrt{(-36+33)^{2} +(5+4)^{2}} \\ =\sqrt{(-3)^{2} +(9)^{2}}= \sqrt{9+81} = \sqrt{90}= 9.49$

D = d1 + d2 + d3 = 10.63 + 13.93 + 9.49 = 34.05

3 0

3 years ago

How do I complete these questions a bit confused . (extra credit work )

otez555 [7]

Answer:

(1)

$a = \frac{3\sqrt 3}{2}$