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alex41 [277]
3 years ago
7

3. Write a similarity statement and state the scale factor for the triangles.

Mathematics
1 answer:
ivann1987 [24]3 years ago
5 0

Answer:

AA SIMILARITY statement

SSS similarity statement is also possible.

Step-by-step explanation:

In \:  \triangle CBA  \: and \:  \triangle TVU \\  \angle B \cong \angle V... (given) \\\angle A \cong \angle U... (given) \\\therefore \triangle CBA \sim \triangle TVU... (By AA\: Postulate)  \\

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Which of the following is an extraneous solution of (45-3x)^1/2=x-9?
Iteru [2.4K]

Answer:

C. x =3

Step-by-step explanation:

Extraneous solution is that root of a transformed equation that doesn't satisfy the equation in it's original form because it was excluded from the domain of the original equation.

Let's solve the equation first

\sqrt{45-3x} = x-9\\Taking\ square\ on\ both\ sides\\{(\sqrt{45-3x})}^2 = {(x-9)}^2\\45-3x = x^2-18x+81\\0 = x^2-18x+81-45+3x\\x^2-15x+36 = 0\\x^2-12x-3x+36 = 0\\x(x-12)-3(x-12) = 0\\(x-3)(x-12)\\x-3 = 0\\=> x =3\\x-12 = 0\\x = 12\\We\ will\ check\ the\ solutions\ one\ by\ one\\So,\\for\ x=3\\\sqrt{45-3(3)} = 3-9\\\sqrt{45-9} = -6\\\sqrt{36}= -6\\6\neq -6\\For x=12\\\sqrt{45-3(12)} = 12-9\\\sqrt{45-36} = 6\\\sqrt{36}= 6\\6=6

Hence, we can conclude that x=3 is an extraneous solution of the equation ..

3 0
3 years ago
Print Version
san4es73 [151]

Answer:

$9450

Step-by-step explanation:

We will use compound interest formula:

F=P(1+r)^t

Where

F is future amount [what we want to figure out]

P is present amount [9000]

r is rate of interest [since we want for 6 months, the annual interest divided by 2 is r. So r = 10/2 = 5% or 0.05]

t is the time [ the time period is for 6 months so t = 1 since we already converted the interest rate to 6 month chunk]

Putting in formula, we get:

F=P(1+r)^t\\F=9000(1+0.05)^1\\F=9000(1.05)\\F=9450

6 0
3 years ago
Which graph is used to model piece rate pay?
Natasha2012 [34]
C: scatter plot is the graph used
3 0
3 years ago
Kirti has developed formulas to help her determine the size of her rectangular flower garden each spring. If she wants to plant
Ksju [112]

Answer:

A(n) = L(n) × W(n) and A(n)=0.5n^{2} +2n+2

Step-by-step explanation:

We are given that the length of the rectangular garden is L and width is W.

Also, in terms of 'n',

Length is given by, L(n) = n + 2

Width is given by, W(n) = 0.5n + 1.

Now, we know that, Area of rectangle = Length × Width.

Therefore, area of Kirti's garden is given by, A(n) = L(n) × W(n).

Thus, formula of area in terms of L(n) and W(n) is A(n) = L(n) × W(n).

Moreover, as A(n) = L(n) × W(n).

i.e. A(n) = (n+2) × (0.5n+1)

i.e. A(n)=0.5n^{2} +n+2 \times 0.5n+2

i.e. A(n)=0.5n^{2} +n+n+2

i.e. A(n)=0.5n^{2} +2n+2

Hence, the formula for area in terms of 'n' is A(n)=0.5n^{2} +2n+2.

5 0
3 years ago
Identify the reason that justifies each statement.
Ostrovityanka [42]

Answer:

Vertical angles

Step-by-step explanation:

The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.

Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.

4 0
3 years ago
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