Write a two-column proof.

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Answer:

I believe it's written y = 1/2x - 1

Hope this helps :)

k=72

Explanation:

72/6=12

12+5=17

Answer:

  k = 72

Step-by-step explanation:

This is a 2-step linear equation. It is solved in the usual way.

Step 1: add the opposite of the constant that is on the side with the variable

  k/6 +5 -5 = 17 -5

  k/6 = 12

Step 2: multiply by the reciprocal of the coefficient of the variable.

  (k/6)(6) = (12)(6)

  k = 72

the probability that a randomly chosen member of the JV swim team does not wear glasses and is in the 10th grade is 14%.

Given, the members of the junior varsity swim team wear glasses is 55%.

And the members of junior varsity swim team who do not wear glasses and in 10th grade is 30%.

Let the total no. of members be x.

So, the members of the junior varsity swim team wear glasses (55%),will be

[tex]0.55x[/tex].

The total number of members not wearing glasses, will be

[tex]x - 0.55 x = 0.45 x[/tex].

Now, the no. of members not wearing glasses and in 10th grade will be,

[tex]\frac{0.45x\times30}{100} =0.135x[/tex]

We know that the probability of an event E, P(E) will be,

[tex]P(E)=\frac{No.\ of Favourable\ outcomes}{total \ no. \ of \ outcomes}[/tex]

So, the probability for no. of members not wearing glasses and in 10th grade will be,

[tex]P(E)=\dfrac{0.135x}{x}[/tex]

[tex]P(E)=0.135\\\\P(E)=13.5 \%[/tex]

Hence the nearest whole percent of probability is 14%.

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CT=90°

BTA=90°

x=29

CT=37

TA=20

CA=57

Step-by-step explanation:

they say BT is an altitude ( or height) . Altitudes are perpendicular meaning that:

BTC =90°

BTA=90°

Therefore:

(3x+3)°=90°

3x=90-3

3x=87°

x=29

CT:

x+8

=29+8

=37

TA:

x-9

=29-9

=20

CA:

=CT+TA

=37+20

=57

Step-by-step explanation:

(4x-1) × (2x+5)

3x × 7x

21x

The answer is = 21x

The equation that can be used to determine the sales price of the bracelets is $22.5

Amount in her account = $150

Amount in her account after sales = $235

Change in account balance = $235 - $150

= $85

cost of necklace = $22.5

let

bracelet = x

necklace = y

The equation:

Total sales = 5x + y

85 = 5x + 22.5

85 - 22.5 = 5x

62.5 = 5x

x = 62.5/5

x = $12.5

Therefore, the cost of each bracelet is $12.5 and the cost of necklace is $22.5

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answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

Answer:

Y-8

Step-by-step explanation:

Any point on the upper triangle ABC, for example point B, is translated 8 units down the y axis, appearing on the lower triangle A'B'C'

3:7  

This means that for every 7 blue chairs, there are 3 red chairs.

Answer: D hope this helps

Answer:

C:   H > 60

Step-by-step explanation:

H is 60 in or taller, underlined indicates that it's also 60 in, not just above it.

Answer:

the number is 9

Step-by-step explanation:

hope this helps

Answer:

Bala Bala Bala Bala Bala

Step-by-step explanation:

what is the slope of the Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah answer is answer the question Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah Blah

Answer:

reflect

Step-by-step explanation:

dilate means bigger or smaller than the original.

Answer:

1400

Step-by-step explanation:

two ways to do this

1, find the area of the shaded place.

2, find the area of the whole thing, subtract by the area of the corners.

          this way is easier so its what ill do

whole box is 60*30=1800

3 corners are 10*10=100    15*10=150    and   15*10=150

1800-150-150-100 = 1400

or you could do it the first way

bigger box is 20*45=900

long box is 10*35=350

small box is 15*10=150

900+350+150=1400

Answer:

4th option

Step-by-step explanation:

noting that i² = - 1

(8i)(5i)(- 4 - 6i)

= 40i²(- 4 - 6i)

= 40(- 1)(- 4 - 6i)

= - 40(- 4 - 6i) ← distribute parenthesis by - 40

= 160 + 240i

[tex](8i)(5i)(-4-6i)\\\\=40i^2(-4-6i)\\\\=-40(-4-6i)~~~;[i^2=-1]\\\\=160+240i[/tex]

Answer:

The second one. 30 minutes ÷ 6 miles.

Step-by-step explanation:

You want to find how long it took Jamaal to run one mile.

30 minutes ÷ 6 miles = 5 minutes.

So Jamaal can run one mile in 5 minutes.

Option B, 30mins/6miles

Answer:

8j - [tex]\frac{3q}{2}[/tex] - [tex]\frac{18}{5}[/tex]

Step-by-step explanation:

hope this helps! :D

Answer:

Option A

Step-by-step explanation:

Given equation is:

[tex]x^2+1=2x-3[/tex]

Setting it up as a quadratic equation.

[tex]x^2+1-2x+3=0\\\\x^2-2x+4=0[/tex]

Comparing it with quadratic equation [tex]ax^2+bx+c=0[/tex], we get:

a = 1 , b = -2 , c = 4

Putting the values in quadratic equation:

[tex]\displaystyle x = \frac{-b +-\sqrt{b^2-4ac} }{2a} \\\\x = \frac{-(-2)+-\sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

A

Step-by-step explanation:

a = 1, b = -2, and c =4

d = -b +- sqrt (b^2 - 4*a*b)

= - (-2) +- sqrt ((-2)^2 - 4*1*4)

The third member of the Pythagorean triple is 28 and this can be determined by using the Pythagorean theorem.

Given :

21 and 35 are two members of a Pythagorean triple.

The following steps can be used in order to determine the third member of the Pythagorean triple:

Step 1 - The Pythagorean theorem can be used in order to determine the third member of the Pythagorean triple.

[tex]H^2 = P^2+B^2[/tex]

where the hypotenuse is H, the perpendicular is P, and the base is B of the right-angle triangle.

Step 2 - Now, substitute the value of H and P in the above expression in order to determine the value of 'B'.

[tex]35^2 = 21^2+B^2[/tex]

Step 3 - Simplify the above expression.

[tex]B^2= 784[/tex]

[tex]B = 28[/tex]

So, the third member of the Pythagorean triple is 28.

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D10W has a concentration 10%

So

Dextrose amount=

[tex]\\ \sf\Rrightarrow 10\%\:of\:756[/tex]

[tex]\\ \sf\Rrightarrow 0.10(756)[/tex]

[tex]\\ \sf\Rrightarrow 75.6ml[/tex]

The total cost, if one drink costs $3 is $27.75

If kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y

Since a pizza costs $12.75, hence x = $12.75

The function becomes 12.75 + 5y

f(y) = 12.75 + 5y

To get the total cost if one drink costs $3, hence;

f(3) = 12.75 + 5(3)

f(3) = 12.75 + 15

f(3) = 27.75

Hene the total cost, if one drink costs $3 is $27.75

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Answer:

4

Step-by-step explanation:

note that [tex]\sqrt{x^2}[/tex] = x , then

[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]

= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms

= 4

Answer:

Step-by-step explanation:

Simplify the expression

x - (12 – 5x) =

x - 12 + 5x =

6x - 12

Answer:

[tex](x-2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-5x+6[/tex]

[tex]x^2-3x-2x+6[/tex]

[tex]x(x-3)-2(x-3)[/tex]

[tex](x-2)(x-3)[/tex]

Answer:

If you are not in Iceland, then you are not in Reykjavik.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The contrapositive of a statement is as follows:

"Switching the hypothesis and conclusion of a conditional statement and negating both. For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

So, for this one, we need to switch as well!

If you are in Reykjavik, then you are in Iceland.

If you are NOT in Iceland, then you are not in Reykjavik.

The answer would be D

Answer:

11

Step-by-step explanation:

(f/g)(5)=

f(5)=(5)2+1÷g(5)=5-4

10+1/1

11/1

(f/g)=11

The required simplified value of the given function as (f/g)(5)  is 26.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
f(x) = x² +1

f(5) = 5² + 1
f(5) = 26

g(x) = x - 4
g(5) = 5 - 4 = 1

f/g(5) = f(5) / g(5)
       = 26 / 1 = 26

Thus, the required simplified value of the given expression (f/g)(5)  is 26.

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The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

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Step-by-step explanation:

[tex] \large\tt\underline\blue{a} \underline\pink{n} \underline\green{s} \underline\red{w}\underline \purple{e} \underline\orange{r}[/tex]

A geometric progression is a sequence in which any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r.