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gtnhenbr [62]
3 years ago
8

Someone please help me!!! I’m stuck and need help!

Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Answer:

12

Step-by-step explanation:

These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.

Side AR and Side TE are corresponding. Use this proportion.

\frac{6}{8}

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.

We know that RS+ST=21

And that RS=3/4(ST).

\frac{3}{4} x + x = 21

1.75x = 21

x=12.

Side ST is 12

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Each of a sample of four home mortgages is classified as fixed rate (F) or variable rate (V). (Enter your answers in set notatio
horrorfan [7]

Answer:

a) FFFF, FVFF, FFVF, FFFV,

FVFV, FFVV,FVVF,VVFF,

VFVF, VFFF,VFFV,FFVV

VVVV, VFVV, VVFV, VVVF

b) FVFF, FFVF, FFFV,VFFF

c) VVVV or FFFF

d) FFFF, FVFF, FFVF, FFFV, VFFF

e) FFFF, FVFF, FFVF, FFFV ,VFFF, VVVV

Step-by-step explanation:

For this case we define some notation:

F= mortgage classified as fixed rate

V= mortgage classified as variable rate

We select a sample of 4 mortgages.

Part a

We have 2*2*2*2= 16 possible combinations defined below:

FFFF, FVFF, FFVF, FFFV,

FVFV, FFVV,FVVF,VVFF,

VFVF, VVFF,VFFV,FFVV

VVVV, VFVV, VVFV, VVVF

Part b

Which outcomes are in the event that exactly three of the selected mortgages are fixed rate

We need to see in the possible outcomes from part a) how many we have exactly three F's .If we analyze the possible options the possible combinations are:

FVFF, FFVF, FFFV, VFFF

Part c

Which outcomes are in the event that all four mortgages are of the same type?

For this case we have just two possible values: VVVV or FFFF

Part d

Which outcomes are in the event that at most one of the four is a variable ­rate mortgage?

We need to see in the possible outcomes from part a) how many have at least one V. After analyze we see that the possible values:

FFFF, FVFF, FFVF, FFFV, VFFF

Part e

The union represent all four mortgages are of the same type or outcomes are in the event that at most one of the four is a variable ­rate. So we are looking for the possible outcomes VVVV and FFFF and the outcomes with just one V ( FVFF, FFVF, FFFV ,VFFF) so then the union would be:

FFFF, FVFF, FFVF, FFFV ,VFFF, VVVV

4 0
3 years ago
Number 12.
const2013 [10]

D

given the 2 equations

x + 2y = - 8 → (1)

- 4x + y = 5 → (2)

multiply (1) by 4

4x + 8y = - 32 → (3)

add (2) and (3) term by term to eliminate term in x

9y = - 27 ( divide both sides by 9 )

y = - 3

substitute y = - 3 in either (1) or (2) and solve for x

(1) : x - 6 = - 8 ( add 6 to both sides )

x = - 2

solution is (- 2, - 3 ) → D


6 0
2 years ago
Simplify the expression: 4(9c − 7)
vodka [1.7K]

Answer:

36c - 28

Step-by-step explanation:

4(9c − 7)

Distribute

4 * 9c - 4*7

36c - 28

7 0
3 years ago
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