What are the missing factors in the factor tree for 45?
45
5
A
B
С

Answer:

The bisector is line l

mq = 7

Step-by-step explanation:

To find x:

[tex]5x-3=11-2x\\\\+2x+3 +3 +2x\\\\\\7x=14\\x=2[/tex]

To find the value of mq

plug in the value of x into the equation.

[tex]11-2x\\11-2(2)\\11-4\\=7[/tex]

MQ = 7

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b. B

PM = RM

[tex]5x - 3 = 11 - 2x[/tex]

[tex]5x + 2x = 11 + 3[/tex]

[tex]7x = 14[/tex]

[tex]x \times 2[/tex]

MQ = [tex]11 - 2x[/tex]

[tex]11 - 2 \times 2[/tex]

[tex]11 - 4[/tex]

[tex] = 7[/tex]

Answer: The length of LK is 40.

Step-by-step explanation:

LK = 6x+10

KM = 2x+8

LM = 58

so

LM = LK + KM

or, 58 = 6x+10+2x+8

or, 58 = 8x + 18

or, 58-18 = 8x

or, 8x = 40

so, x = 5

now

LK = 6x + 10

     = 6*5+10

     = 30 +10

     = 40

Answer:

109.25 US dollars

Step-by-step explanation:

115 * 0950

9514 1404 393

Answer:

  $63.75

Step-by-step explanation:

Mike's final price will be 1-25% = 75% of the marked price.

  ($80 +5)(0.75) = $63.75

The final price for Mike's purchase is $63.75.

Answer:

c= 13

Step-by-step explanation:

The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper

Lets do

[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]

Lets take an example

[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]

[tex]\\ \sf\longmapsto 5(2)+2[/tex]

[tex]\\ \sf\longmapsto 10+2[/tex]

[tex]\\ \sf\longmapsto 12[/tex]

Answer: [tex]f^{-1}(x)=2x-6[/tex]

Step-by-step explanation:

To find the inverse, we want to switch the y with x and x with y. Once we do that, we solve for y.

[tex]y=\frac{1}{2}x+3[/tex]        [switch x and y]

[tex]x=\frac{1}{2}y+3[/tex]        [subtract both sides by 3]

[tex]x-3=\frac{1}{2} y[/tex]        [multiply both sides by 2]

[tex]y=2x-6[/tex]

Now, we know that  [tex]f^{-1}(x)=2x-6[/tex].

Step-by-step explanation:

2x-18 ≥ 0

2x ≥ 18

x ≥ 9

and

3x -27 ≠ 0

3x ≠ 27

x ≠ 9

so, the answer is <9 ; +oo >

9514 1404 393

Answer:

Step-by-step explanation:

The speed difference between boat and current is the upstream rate:

  (448 km)/(8 h) = 56 km/h

The sum of speeds of boat and current is the downstream rate:

  (440 km)/(5 h) = 88 km/h

The rate of the boat is half the sum of these:

  (56 +88)/2 = 72 . . . km/h

The rate of the current is half their difference:

  (88 -56)/2 = 16 . . . km/h

The rate of the boat is 72 km/h; the rate of the current is 16 km/h.

-7/10 + (-5/6) = -(7/10 + 5/6) =

= -(21/30 + 25/30) = -46/30 =

= -1 16/30 = -1 8/15 ← the end

Answer:

C) [tex]y = \frac{1}{2}[/tex] × [tex]4^x[/tex]

Answer:

C.    y= 1/2*4^x

Step-by-step explanation:

Answer: -1/6

Step-by-step explanation: Start by changing the minus a negative

to plus a positive, so we have -2/3 + 1/2.

Since our denominators of 3 and 2 have no factors in common,

our least common denominator is 3 · 2 or 6.

In order to get a denominator of 6 in each fraction,

we multiply top  and bottom of the first fraction by 2

and top and bottom of the second fraction by 3.

That gives us -4/6 + 3/6 which simplifies to -1/6.

AnswerAnswer:

Step-by-step explanation:

-0.16666666666

Answer:

I belive I might be c not completely sure but pretty positive

Answer:

l think it's consumer spending

Answer:

$3.378 or $3.38 rounded

Answer:

175 degrees!!!!!!!!

Step-by-step explanation:

Answer:

[tex] \frac{3}{4} n = 12[/tex]

Step-by-step explanation:

let the number be n :

[tex] \frac{3}{4} \: of \: n = 12 \\ \\ \frac{3}{4} n = 12[/tex]

further more:

[tex]3n = 12 \times 4 \\ n = \frac{12 \times 4}{3} \\ \\ n = 4 \times 4 \\ n = 16[/tex]

Answer:

3x4=12

Step-by-step explanation:

Answer:

the answer is "B"

the "a" (as in ax^2) is negative thus the parabola "goes downward"

Step-by-step explanation:

The equation of parabola is,

y = - 1/2x²

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.

We have to given that;

In a parabola,

Vertex = (0, 0)

Since, We know that;

Standard form of equation of parabola is,

y = a (x - h)² + k

Where, (h, k) = (0, 0) = vertex

Hence, We get;

y = a (x - 0)² + 0

y = ax²

Here, A point on parabola is, (2, - 2)

- 2 = a (2)²

a = - 2 / 4

a = - 1/2

Hence, The equation of parabola is,

y = - 1/2x²

Learn more about parabola visit:

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Answer:

3^2 + 21 /3

9 + 7

16✓

Answer

Answer:

(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR

53n² +29p² +17q² -14np +8nq -10pq

Step-by-step explanation:

The perimeter is found by adding all the side lengths.

P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)

We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²

P = (7n-2p)² + (2n+4q)² +  (q-5p)²

We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab

P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq

Combine like terms

Answer:C

Step-by-step explanation:

6(x+7)=5(x-7)+x

⇔6x+42=5x-35+x

⇔6x-5x-x=-35-42

⇔0x=-77  

Answer:

the answer is = 0.08666666666

The decimal value of 8 2/3% is 866.677.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

8 2/3% into decimal.

So, 8 2/3%

= 26/3 %

= 26 /3 x 100

= 8.6666667 x 100

=866.6777

Learn more about Percentage here:

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Answer:

ITS 80,000,000

Answer:

2w>-29

Step-by-step explanation:

Simplified it's w> -14.5

Answer:

/10/=/-10/=10 ; /3/=/-3/=3

=> /3/+/10/=/3/+/10/=3+10=13

Step-by-step explanation:

Answer:

D . p = 50

Step-by-step explanation:

To find the value of p we first need to find the values of inner angles

180 - 140 (linear pair)

= 40

180 -90 (linear pair)

= 90

now use angle sum property of triangle

40 + 90 + p = 180

130 + p = 180

p = 180 - 130

p = 50

Answer:

4. {2,4,6,8}

5. [(-2, -1), (1, 8)}

9. {0, 2}

Step-by-step explanation:

The intersection of the given sets is the set that contains elements common to all of the given the sets.

9514 1404 393

Answer:

  857.4 ohms

Step-by-step explanation:

The new frequency is 50.2/61.4 times the old frequency. Since the reactance varies inversely with frequency, the new reactance will be 61.4/50.2 times the old reactance:

  reactance at lower frequency = (701 ohms)×61.4/50.2 ≈ 857.4 ohms