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Lera25 [3.4K]
3 years ago
9

Someone please help

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

1. x = 36

2. x = -2, x = 5

Step-by-step explanation:

Secant - Secant Power Theorem: 12(12 + x) = 10(18)

144 + x = 180

x = 36

Chord - Chord Power Theorem: (x - 2)(x + 7) = 4(2x - 1)

x^2 + 5x - 14 = 8x - 4

x^2 - 3x - 10 = 0

Factor:

(x + 2)(x - 5) = 0

x = -2, x = 5

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Fill in the missing numbers to create equivalent ratios.
jasenka [17]

Step-by-step explanation:

The way to find missing numbers in equivalent ratios is to multiply the means (the first denominator and the second numerator) and multiply the extremes (the first numerator and the second denominator). It sounds really complicated, but it is quite simple =)

2/5 = x/10

The means in this equivalent ration are 5 and x. The extremes are 2 and 10.

5x = 20

Now solve =)

x = 4

That was pretty simple. Let's move on to the next one. Do exactly the same thing here:

4/10 = 6/x

60 = 4x

15 = x

That was pretty simple, too! Keep going!

6/15 = x/25

15x = 150

x = 10

All of these should be equal, so check them by dividing:

2/5 = 0.4

4/10 = 0.4

6/15 = 0.4

10/25 = 0.4

They all check out, so these are your answers: 2/5, 4/10, 6/15, 10/25


I really hope this helps you =)

8 0
3 years ago
Read 2 more answers
Select the correct answer. One factor of the polynomial 213 3r2 – 3x + 2 is (t – 2), which expression represents the other facto
Darina [25.2K]

Answer:

(x - 2)(x + 1)(2x -1)

Step-by-step explanation:

We use synthetic division as a tool for factoring the given expression.  The coefficients of the terms given are {2, -3, -3, 2}.  If x - 2 is a factor of this expression, then 2 is a root.  We perform synthetic division as follows:

2   /    2     -3      -3     2

                  4       2     -2

    -------------------------------

          2      1        -1      0

Next, we determine whether or not (2x - 1)(x + 1) represents the remaining factor(s).  Using -1 as divisor, we get:

-1    /     2     1     -1

                   -2    1

     ---------------------

             2     -1     0

Since the remainder is zero, x + 1 must be a factor and (2x - 1) the third factor.  Answer D is correct.

4 0
2 years ago
Find two consecutive even integers such that twice the smaller is 16 more than the larger.
qwelly [4]

Answer: smaller: 18 ; larger: 20

Step-by-step explanation:

Let n be the smaller integer. Then the larger integer is n+2. So:

2n=n+2+16

n=18

The smaller integer is 18; the larger one is 20.

6 0
3 years ago
PLS HELP ME ASAP FOR 18!! (MUST SHOW WORK/ STEPS!!) + LOTS OF POINTS!! *brainliest*
Tasya [4]
I'd say -2.75
or 2 3/4
4 0
3 years ago
Read 2 more answers
I struggle pls help me ;-;
Paladinen [302]

Answer:

8

Step-by-step explanation:

you have to work out 8 times 10 witch is 80  and then you do 54 take waya 80 divided by 2

4 0
3 years ago
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