All categories

3 years ago

PLEASE HELP ME THANKS SO Much

Mathematics

1 answer:

allochka39001 [22]3 years ago

8 0

9514 1404 393

Answer:

(b) x = 7, AB = 9, AC = 12

Step-by-step explanation:

ΔAEB ~ ΔCDB so corresponding sides are proportional.

AB/CB = AE/CD

(x+2)/(x -4) = 12/4

x +2 = 3(x -4) . . . . . . multiply by x-4

x +2 = 3x -12 . . . . . . eliminate parentheses

14 = 2x . . . . . . . . . . . add 12-x

7 = x . . . . . . . . . . . . . divide by 2

AB = x +2 = 7 +2 = 9

BC = x -4 = 7 -4 = 3

AC = AB +BC = 9 +3 = 12

In summary, ...

x = 7, AB = 9, AC = 12 . . . . . matches the 2nd choice

_____

Additional comment

Please note the other choices make no sense.

(a) AB = x +2 = -5 +2 = -3 ≠ -9

(d) segment lengths are never negative in a geometrical figure

You might be interested in

Classify each sequence as arithmetic, geometric or neither

Karolina [17]

Answer:

Geometric sequence = ⁵/9, ⁵/3, 5, 15, 45. . .

Arithmetic sequence = 16, 11, 6, 1, -4 . . .

Step-by-step explanation:

A geometric sequence is a sequence of numbers, in which every number in the sequence after the first term is multiplied by a common ratio, which gives us the next term. The common ratio is the ratio of a term to the term before it.

On the other hand, an arithmetic sequence is a sequence of number have a common difference between each consecutive terms. This common difference is gotten by subtracting a term from the term before it.

Now let's examine each sequence given:

==>16, 11, 6, 1, -4 . . .

11 - 16 = -5

6 - 11 = -5

1 - 6 = -5

-4 - 1 = -5

This is an arithmetic sequence. The commons difference "-5" is the same

==>⁵/9, ⁵/3, 5, 15, 45. . .

⁵/3 ÷ ⁵/9 = ⁵/3 × ⁹/5 = ⁹/3 = 3

5 ÷ ⁵/3 = ⁵ × ⅗ = 3

15 ÷ 5 = 3

45 ÷ 15 = 3

The common ratio "3" is the same. This is a geometric sequence.

3 0

3 years ago

Which expression is equivalent to i 2337 O 1 O -1 O i O -i

hammer [34]

I think it’s A. or B.

3 0

3 years ago

A credit reporting agency claims that the mean credit card debt in a town is greater than $3500. A random sample of the credit c

Lera25 [3.4K]

Answer:

Claim is false

Step-by-step explanation:

Claim : A credit reporting agency claims that the mean credit card debt in a town is greater than $3500.

$H_0:\mu \leq 3500\\H_a:\mu = 3500$

n = 20

Since n <30

So we will use t test

Formula : $t =\frac{x-\mu}{\frac{s}{\sqrt{n}}}$

s = standard deviation = 391

x = 3600

n = 20

$t =\frac{3600-3500}{\frac{391}{\sqrt{20}}}$

$t =1.14$

Degree of freedom = n-1 = 20-1 = 19

α=0.10

So, using t table

$t_({\frac{\alpha}{2},d.f.})$ = 1.72

t critical > t calculated

So we accept the null hypothesis

Hence we reject the claim that the mean credit card debt in a town is greater than $3500.

7 0

3 years ago

Someone plz help me ik the answer is 10 but how did u do it show ur work plz

Fittoniya [83]

Answer: 10

Step-by-step explanation:

16 x 5/8

reduce the numbers to 2 x 5

cross out 16 and 8 and you have 5 left, 16 divided by 8 = 2

2 x 5 = 10

hope this makes sense and helps you :)

8 0

2 years ago

Please help! 3-5x+6(-x-2)

photoshop1234 [79]

The answer to your question is-9

7 0

3 years ago