Decide whether the triangles are similar. If they are, write a similarity statement and state the reason justifying the similarity.
If necessary, you may learn what the markings on a figure indicate.
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Answer: [tex]7\times 10^{-1}[/tex]

Step-by-step explanation:

Given

[tex](4.0\times 105)\div (5.89\times 102)[/tex]

First solve the brackets part in calculator, we obtain

[tex]\Rightarrow 420\div 600.78\\\\\Rightarrow \dfrac{420}{600.78}=0.69909\approx 0.70\\\\\Rightarrow 7\times 10^{-1}[/tex]

Answer:

X= 7.5 Y=75

Step-by-step explanation:

Answer:

Using the property of intersecting secant:-

[tex](DE)(CE)=(FE)(LE)[/tex]

[tex](4)(x-1+14)=(5)(x-4+5)[/tex]

[tex]4(x+3)=(5x+1)[/tex]

[tex]4x+12=5x+5[/tex]

[tex]4x+-5x=5-12[/tex]

[tex]-x=-7[/tex]

[tex]x=7[/tex]

[tex]So, CD=x-1=7-1=6[/tex]

[tex]so,~your ~answer ~is ~B) ~6[/tex]

By intersecting secants theorem, the measure of CD is 6 units.

The theorem states that when two secants intersect at an exterior point, the product of the one whole secant segment and its external segment is equal to the product of the other whole secant segment and its external segment.

For the given situation,

The diagram shows the circle with the two secants intersecting at the exterior point.

By intersecting secants theorem,

[tex](CE)(DE)=(LE)(FE)[/tex] -------- (1)

Here, CE = CD + DE

⇒ [tex]CE = (x-1)+4[/tex]

DE = 4

LE = LF + FE

⇒ [tex]LE = (x-4)+5[/tex]

FE = 5

On substituting the above values in 1,

⇒ [tex](x-1+4)(4)=(x-4+5)(5)[/tex]

⇒ [tex](x+3)(4)=(x+1)(5)[/tex]

⇒ [tex]4x+12=5x+5[/tex]

⇒ [tex]5x-4x=12-5[/tex]

⇒ [tex]x=7[/tex]

Thus CD = [tex]x-1[/tex]

⇒ [tex]7-1=6[/tex]

Hence we can conclude that by intersecting secants theorem, the measure of CD is 6 units.

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Answer:

2p + 4b = 42

7p + 9b = 107

p = $5

b = $8

Step-by-step explanation:

p is cost of plant, b is cost of bush

2p + 4b = 42

7p + 9b = 107

First we'll solve the first equation for p in terms of b:

2p + 4b = 42

subtract 4b from both sides

2p = -4b + 42

divide both sides by 2

p = -2b + 21

Now substitute that value in for p in the second equation, and solve for a numerical value of b:

7(-2b + 21) + 9b = 107

-14b + 147 + 9b = 107

combine like terms:

-5b = -40

b = 8

Use this to go back and solve for p:

p = -2b + 21

p = -2(8) + 21

p = -16 + 21 = 5

---------------------------

check the math:

2p + 4b = 42

2(5) + 4(8) = 10 + 32 = 42

Answer:

D. Yes; the graph passes the vertical line test.

Step-by-step explanation:

1. A and C are wrong since the number of x-values that a y-value have does not matter when it comes to functions.

2. When doing the vertical line test, it is done by drawing a vertical line (up to down) and then seeing if more than 1 point touches the line.

3. After drawing the vertical line you would see only 1 point touches the line which indicates that the graph passes the vertical line test.

4. Therefore, the answer is "D. Yes; the graph passes the vertical line test."

Answer:

-2

Step-by-step explanation:

If you need the work let me know but that should be correct! Good luck :)

Answer: x = 4.5

Step-by-step explanation: First, do x + x, since they are like terms. That equals 2x. The equation is now 2x = 9. Divide both sides by 2. x = 4.5.

  x + x = 9

  2x = 9

÷2    ÷2

---------------------

 x = 4.5  

x + x = 9

4.5 + 4.5 = 9

Answer:

7/12 h

Step-by-step explanation:

1/3 of 1 3/4  =  1/3 of 7/4 = 1/3 x 7/4  =  7/12 h

Answer:

-1 or 2

Step-by-step explanation:

2x2-2x-4

x2-x-2

x2+x-2x-2

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

(x+1)(x-2)

x=-1 or 2

Answer:

x = -2, y = 5/3

Step-by-step explanation:

we have the value of x already (-2).

x=-2

Plug it into the first equation y = 2/3x+3

y = 2/3(-2)+3

y = -4/3+3

y = -4/3+9/3

y = 5/3

x = -2, y = 5/3

Answer:

60

Step-by-step explanation:

Side A would end up being 15 and then to find the area you would use your formula 1/2 × base × height.

Answer:

-1/5

Step-by-step explanation:

i think thsts correct answer if not the answer is 1/2

Answer:

yes the triangle are similar

Because the number increase by a percentage this is an exponential growth problem.

The equation for exponential growth is :

Total = start value x ( 1 + percent) ^ time

Using the information from the problem:

2011-2005 = 6 years.

Total = 23 x (1 + 0.72)^6

Total = 23x 1.72^6

Total = 595.52 = 596 total people

Answer:

-3

Step-by-step explanation:

[tex]\sqrt{25}[/tex] is equal to 5, so we can sub it in the equation.

This gives 12-3×5 or 12-15.

This solves to -3.

**This content involves simplifying surds, which you may wish to revise. I'm always happy to help!

Answer:

(5x2y3+1)(5x2y3−1)

Step-by-step explanation:

In this case, since this equation has both sides as a perfect square, you can apply the difference of squares formula a^2 - b^2 = (a+b) (a-b)

Applying this formula and factoring it accordingly leaves us off with (5x2y3+1)(5x2y3−1).

Answer:

Step-by-step explanation:

cash in bank = 79

overdraft = 27

left = 79 - 27

     = 52

Answer:

Hourly rate = 130.50

3-hour session = 391.50

Step-by-step explanation:

Part 1

Step 1: Divide the given figures

522.00/4 = 130.50

Step 2: Multiply the result to the number being looked for

130.50 * 1 = 130.50

So, Arnold’s hourly rate is 130.50

Part 2

Step 1: Multiply the answer found in part one to 3

130.50 * 3 = 391.50

Therefore, Arnold’s would charge $391.50 in a 3-hour session

Option C is correct, 6n(n³-4n²+3) is the  factored form of expression 6n⁴ – 24n³ + 18n

An expression is combination of variables, numbers and operators.

The given expression is 6n⁴ – 24n³ + 18n.

Six times of n power four minus twenty four times of n cube plus eighteen times of n.

6n⁴ – 24n³ + 18n.

Now we have to find the factored form of 6n⁴ – 24n³ + 18n.

Take 6n as common

6n(n³-4n²+3)

Hence, Option C is correct, 6n(n³-4n²+3) is the factored form of expression 6n⁴ – 24n³ + 18n

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Step-by-step explanation:

24$

Answer:

y = -4x + 17

Step-by-step explanation:

y = -4x + b

5 = -4(3) + b

5 = -12 + b

17 = b

Answer:

ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

Answer:

$100

$120 in and $20 out

Step-by-step explanation:

Answer:

the answer is $100

because if the bank is loosing 2% they are having to pay $20 bc 0.02 x 1,000= 20, and they are earning 12% they getting 120 bc 0.12 x 1,000 = 120, and 120-20= $100. you have to subtract the $20 because that is what the bank is paying, so it's losing money

Answer:

B. Linear decreasing

Step-by-step explanation:

Answer:

Linear decreasing;

Straight line = linear

Slope downwards (from left to right) = decreasing function

Answer:

-7/3 +\- 1/3i

Step-by-step explanation:

Answer:

y=-5x+17

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would add '5' to the y-intercept (12) to make a translation up 5 units.

y = -5x + 12 + 5

y = -5x + 17

Hope this helps.