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Lera25 [3.4K]
3 years ago
5

At the beginning of this month, the balance of Agatha's checking account was $782.39. So far this month, she has received a payc

heck via direct deposit of $932.48, been charged a monthly service fee from her bank of $20.00, used a debit card linked to her account to make a purchase of $36.82, written a check for $155.03 that has already been deposited, and deposited a check written to her for $79.13. What is the current balance of Agatha's checking account?
Mathematics
2 answers:
balandron [24]3 years ago
8 0
$1633.15 hedhdhebsnhdhhdahahshd
Rzqust [24]3 years ago
8 0

Answer:1,582.15

Step-by-step explanation:

Add then subtract

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Please help!!<br> Each pair of polygons is similar. Find the value of x.
Simora [160]

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

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

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

------------

Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
7 0
3 years ago
Read 2 more answers
Below are two parallel lines with a third line intersecting them.<br> I need help solving for x
kvv77 [185]

Answer:

its a 50 degree angle i think.

Step-by-step explanation:

its a smaller size in scale of the bigger one.

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3 years ago
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If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)
olganol [36]

Answer:

4^x-5x-14

Step-by-step explanation:

f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

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What is the solution to the linear equation d-10-2d+7=8+d-10-3d
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D-10-2d+7 = 8 + d- 10 -3d
d-2d-10+7 = 8-10 +d -3d
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Final answer: C. d=1
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3 years ago
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Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas
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Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters

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The length of slide is 18.36 meters

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