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Burka [1]
3 years ago
6

The balance in Al's account is $ 32.60 . The balance in Dee's account is 3 4 the balance in Al's account. The balance in Zac's a

ccount is $ 49.08 less than the balance in Dee's account. What is the balance in Zac's account?
Mathematics
1 answer:
shtirl [24]3 years ago
7 0

Answer:

Balance in Zac's account = - $24.63

Step-by-step explanation:

Given:

Balance in Al's account = $32.60

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Zac's account = balance in Dee's account - $49.08

Find:

Balance in Zac's account

Computation:

Balance in Dee's account = 3/4 the balance in Al's account

Balance in Dee's account = [3/4][32.60]

Balance in Dee's account = $24.45

Balance in Zac's account = balance in Dee's account - $49.08

Balance in Zac's account = $24.45 - $49.08

Balance in Zac's account = - $24.63

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Someone please help me out with these questions . I don’t get them at all.
iVinArrow [24]

Answer:

a)similar; b)similar; c)similar; d)NOT similar

Step-by-step explanation:

>In general if

all corresponding angels are ≅, and

all corresponding sides are in proportion

then the Δs are similar

>we have 3 similarity theorems AA, SSS, and SAS

a)

we can use that sum of angles in a triangle is 180 to find the missing angles

180-96-32 = 52

so in the smaller triangle the angles are 96°-52°-32°

in the larger triangle the angles given are 52°-32°

Since there are 2 corresponding angles congruent, AA theorem of similarity says that the 2 triangles are similar. The transformations were that the big triangle was shrunk and rotated

b)

here we are given a pair of congruent angles and we need to check if the sides are in proportion, is 14/44.8 equal to 20/64?

14/44.8 =.3125 is equal to 20/64=.3125

since we have two corresponding sides in proportion and the angles in between them congruent the SAS theorem says that the 2 triangles are similar. The transformation was that the small triangle was dilated.

c)

because we are given the 2 angles are congruent we can conclude that the lines NH and SL are parallel. NH║SL let us conclude that ∡H and ∡ L are congruent because 2 parallel lines cut by a transversal (ML in our case) form congruent angles. So ΔMNH  is similar to ΔMSL because of AA theorem of similarity (one pair of A was given congruent, one other pair of A we concluded was congruent)

d)

here we have to check if all the sides are in proportion to see if SSS theorem of similarity applies here

18/90 = .2

44/202.4≈.22

58.5/211.2≈.28

.2≠ .22 ≠ .28

since the sides are not in proportion the 2 triangles are NOT similar.

4 0
3 years ago
Which expressions are equivalent to -6n+(-12)+4n
Elza [17]

Answer:

-2n - 12

Step-by-step explanation:

Combine like terms. Note that each term has one variable (n). Also note  that one negative sign and one positive sign results in a negative sign.

-6n + (-12) + 4n = -6n  + 4n - 12 = -2n - 12

-2n - 12 is your answer

~

5 0
3 years ago
Can someone explain this to me please? I will give brainliest to the best answer!
mojhsa [17]

The volume of a cylinder is V = \pi r^{2} h

  • r is the radius (half of the diameter which is 34m) --> 17m
  • height: 27m
  • \pi: 3.14

Thus the volume = \pi (17)^2*27=3.14*17^2*27=24501.42m^{3}

Hope that helped!

8 0
2 years ago
Read 2 more answers
Given X = {15, 22, 33, 44, 89, 165, 1025} and Y = {-5, 15, 33, 88, 99, 150, 160, 1025}, which of the following statements is fal
vitfil [10]

Answer:

the first one

Step-by-step explanation:

in the first one it says there are no common numbers between x and y which is false.

in the second one its the union of x and y which means that you must list all numbers in x and y without repetition

the third one states that 15,33,1025 are the only numbers that are common between x and y.

so as a breif the first one is wrong

5 0
3 years ago
!!!!PLEASE HELP!!!
Wittaler [7]

Answer:

C. x = -1 ; x ~8.1

Step-by-step explanation:

First we graph f(x)= -\sqrt{x+2} -3

Here we have x+2 under the square root. x+2>=0, x>=-2

So we take some x  values greater than -2  and find out f(x)  to make a table for graphing

x        f(x)

-2       -\sqrt{-2+2} -3=-3

-1        -4

2        -5

Graph it  and extent the graph

Now we graph g(x)= -2|x-3| + 4

Given equation is in the form of g(x) = a|x-h| + k

where (h,k) is the vertex

here h= 3  and k = 4, so vertex is (3,4)

Now make a table, pick some numbers for x  less than and greater than vertex

x     y

-1     -2|-1-3| + 4=-4

0    -2|0-3| + 4=-2

3    4

6     -2

Both graphs are attached below

The graph of f(x)  and g(x) interests  at x= -1  and x=8.1

3 0
3 years ago
Read 2 more answers
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