In triangle ABC, the measure of angle A is 90 ° . Angle B is congruent to angle C. What is the measure of angle B in degrees?

Answer:

<2=10

Step-by-step explanation:

because if they are supplementary, they are on the same line, and a line is 180-degrees so 180-170=10-degrees which is angle 2.

Answer:

$1.50

Step-by-step explanation:

50% is one half. and one half of $3 is $1.50.

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Hello!

58, 65, 72, 79, 86

86+7 = 93

93+7 =100

100+7 =107

Based on the coupon rate on this corporate bond and the face value, the yield on the bond is 15.2%.

The number of periods is missing so we shall assume a maturity period of one year.

The rate can be found using an Excel worksheet or a financial calculator.

Using an Excel worksheet, the relevant function is the RATE function and the following details will be needed:

Nper = 1 year

Pmt = 6% x 5,000

= $300

Pv = (5,000 * 0.92)

= $4,600

Pv = -4600 because it should be negative.

Fv = $5,000

The yield you will get is 15.2% as shown in the attached image.

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Answer:

L = 2.25 feet.

Step-by-step explanation:

My work is shown in the attached image! Let me know if there are any errors or if you have any questions. Best wishes.

Answer:

The answer is the CD was for 3 years.

Step-by-step explanation:

First, write the equation.

I=Prt

Next, substitute the given values.

$198=$1,200×5.5%×t

Next, write the percent as a decimal.

$198=$1,200×0.055×t

Next, simplify.

$198=$66×t

Then, solve for t.

3=t

Ivy will receive $300 in interest at the end of one year.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the interest Ivy will receive at the end of one year, we need to multiply the amount she invested by the interest rate:

Interest = Principal x Rate

Here, the principal is $150,000 and the rate is 0.2% or 0.002 (as a decimal):

Interest = $150,000 x 0.002

Interest = $300

Thus,

Ivy will receive $300 in interest at the end of one year.

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We have two flower beds in this example, the first has a perimeter of 100 feet, and the second has a perimeter of 180 feet

The total is 280 feet

Given Data

Dimension of the first flower bed

Length = 17 feet

Width = 33 feet

Perimeter = 2L + 2W

Perimeter = 2*17 + 2*33

Perimeter =  34 + 66

Perimeter = 100 feet

Dimension of the second flower bed

Length = 40 feet

Width = 50 feet

Perimeter = 2L + 2W

Perimeter = 2*40 + 2*50

Perimeter = 80 + 100

Perimeter = 180 feet

The total length will be 100+180 = 280 feet

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Answer:

It's 50

Step-by-step explanation:

D on edge

Let the total number of apples in the basket be m

12% of the apples are rotten, and apples in good condition are 66

Therefore, according to the question,

[tex]88\% \: of \: m= 66[/tex]

[tex]→ \frac{88}{100}× m = 66[/tex]

[tex]→ m = \frac{(66 \times 100)}{88} [/tex]

[tex]→ m = 3 \times 25[/tex]

[tex]→ m = 75[/tex]

Therefore, total number of apples in the basket is 75.

[tex]\red\bigstar \huge \color{blue}{ \tt{answer}}[/tex]

Let the total number of apples in the basket be x

• The apples are rotten = 12%

• The apples in good condition = 66

So ,

[tex]\bold{88\% \: of \: x = 66 }[/tex]

[tex] \bold{↪\frac{88}{100} × x = 66 }[/tex]

[tex]\bold{↪x = \frac{(66×100)}{88} }[/tex]

[tex]\bold{↪x = 3 × 25}[/tex]

[tex] \bold{↪x = 75}[/tex]

[tex]\bold{∴}[/tex]Total number of apples in the basket is 75

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

Standard deviation is a number used to tell how measurements for a group are spread out from the average (mean), or expected value

Here given that

The owners of an eyeglass store claim that they fill customers' orders, on average, in 60 minutes with a standard deviation of 15. 9 minutes. Based on a random sample of 40 orders, a reporter determines a mean order time of 63 minutes

mean=μ=60

standard deviation=σ=15.9

number of sample=n=40

[tex]\bar{x}=63 \\[/tex]

Now we can calculate z by z-score formula as

[tex]z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} \\\\&=\frac{63-60}{\frac{15 \cdot 9}{40}} \\ \\=\frac{3}{2.5140} \\ \\=1.19\end{aligned}[/tex]

By applying z-score formula we got that if a reporter determines a mean order time of 63 minutes then value o Z is 1.19

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Answer:

1.19

Step-by-step explanation:

Answer:

L 107°

...

...

...

.

............

The error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

The distributive property of multiplication is that when two numbers are added such as (a+b) and multiplied by a third number such as x, then the result will be the sum of multiplication of the third number with the first number (xa) and the third number with the second number (xb).

x(a+b) = xa + xb,

The expression which is equal to the expression 7d+63 can be written as,

[tex]7d+63\\\\=7(d+9)[/tex]

Hence, the error that Barbara's made is that Barbara wrote (d+63) instead of (d+9).

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Answer:

Step-by-step explanation:

wrote (d 63) instead of (d 9). Barbara

Question: Quadrilateral GABE is a square. Assume that point A is the centre of the circle. If the circumference (perimeter of a circle) is 201 ft., find AE.

Solution:

πd = C

πd = 201

3.14(d) = 201

diameter  = 64.01

radius is half of the diameter.

radius = 64.01/2

radius = 32

GA = 32

As its sqaure, all sides are equal

GA  = AB = GE = EB = 32

using Pythagoras theorem:

32² + 32² = AE²

AE = √2048.8

AE = 45.3 ft

Answer:

Step-by-step explanation:

C = πd = 2πr

201 = 2*3.14*AB

AB = 201 / (2*3.14) = 32

AE is the diagonal of square ABEG

Using Pythagoras theorem,

AE^2 = AB^2 + BE^2 = 2*AB^2

AE^2 = 2*32^2

AE = sqrt(2*32^2)

= 45.255

= 45.3 ft

Answer:

The transformation that maps f into g is a translation transformation,

involving the addition of k to the value of f(x).

The value of k that transforms f into g is; k = -5

Reasons:

Points on the graph of g(x) are; (0, -3) and (0, 1)

The equation of g(x) is; y - (-3) = 4·x, which gives;

y = 4·x - 3

The y-intercept = -3

Points on the graph of f(x) are; (-1 -2) and (0, 2)

The equation of f(x) is; y - (-2) = 4·(x - (-1)), which gives;

y = 4·x + 4 - 2 = 4·x + 2

The y-intercept = 2

The slopes of the graphs of f(x) and g(x) are equal, therefore, f(x) ║ g(x)

The difference or the transformation that takes the y-intercept of f(x) to the

y-intercept of g(x) is; k = y-intercept(g(x)) - y-intercept(f(x)) = -3 - 2 = -5

Therefore, k = -5

Which gives;

g(x) = f(x) - 5

The value of k that transforms f into g is; k = -5

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Answer:

The minimum value is -7 because of the negative sign on the number

Answer: Its -6

Step-by-step explanation:

its -6 because the functions lowest points are -6

Answer:

(2*10)-(7+3)

Parentheses are used to avoid unwanted results.

Answer:

B and D

Step-by-step explanation:

Distributive property on 3(c-3) is 3c-12=20. D is the same. Divide instead.

Answer:

the 2nd and 4th one

Step-by-step explanation:

4( c - 3 ) = 8

you can either distribute the 4 which means multiply whats inside of the parenthesis by 4 , 4 * c = 4c and 4 * -3 = -12 to get 4c - 12 = 8

or you can divide both sides by 4 which will get you c - 3 = 2

4(c-3)/4 = c - 3

8/4 = 2

c - 3 = 2

Answer: 168.7 degrees

Step-by-step explanation:

Supplementary angles have measures that add to 180 deg, so 180-11.3=168.7

Answer:

The answer is 71.67

Step-by-step explanation:

I=PRT

P=2500

r=4.3%

t=8months which is two thirds of a year

2500×4.3%×2/3

I=71.67

Answer:

27.) the candy bar sells for $5.90 with tax

28.) the candy bars sell for $4.80 with tax

Step-by-step explanation:

For amounts between $1.00 and $2.00, the tax is $0.10

For amounts greater than $2.00 and less than or equal to $4.00, the tax is $0.20.

For amounts greater than $4.00 and less than or equal to $6.00, the tax is $0.30.

For amounts greater than $6.00 and less than or equal to $8.00, the tax is $0.40.

For amounts greater than $8.00 and less than or equal to $10.00, the tax is $0.50

Answer:

56kmp

Step-by-step explanation:

That is all I know.

Answer:

1.6 kpm

Step-by-step explanation:

(32km)/(20min) = 1.6 km/min or kpm

Answer:

4

Step-by-step explanation:

a²+b²=c²

|BD|²+|AC|²=|AB|²

|BD|²+3²=5²

|BD|²+9=25

|BD|²=25-9

|BD|²=16

then you root both sides

therefore |BD|=4

Answer:

d is the answer to the question

Answer:

  (x, y) = (-1/6, 1/4)

Step-by-step explanation:

This is a system of equations in expressions of two variables. You could solve it by expanding the expressions to the base variables, or you could solve it by first finding the values of the expressions.

Let's see what happens when we expand the equations all the way.

First equation:

  [tex]\dfrac{1}{2}(x +2y)+\dfrac{5}{3}(3x-2y)=-\dfrac{3}{2}\\\\3(x+2y)+10(3x-2y)=-9\qquad\text{multiply by 6}\\\\3x+6y+30x-20y=-9\qquad\text{eliminate parentheses}\\\\\boxed{33x-14y+9=0}\qquad\text{collect terms, add $9$ to get general form}[/tex]

__

Second equation:

  [tex]\dfrac{5}{4}(x+2y)-\dfrac{3}{5}(3x-2y)=\dfrac{61}{60}\\\\75(x+2y)-36(3x-2y)=61\qquad\text{multiply by 60}\\\\75x+150y-108x+72y=61\qquad\text{eliminate parentheses}\\\\-33x +222y = 61\qquad\text{collect terms}\\\\\boxed{33x-222y+61=0}\qquad\text{write in general form}[/tex]

__

The solution process looks like it might be messy for either substitution or elimination, so we choose to solve these equations using the cross-multiplication method.

  Δ1 = (33)(-222) -(33)(-14) = -6864

  Δ2 = (-14)(61) -(-222)(9) = 1144

  Δ3 = (9)(33) -(61)(33) = -1716

  x = Δ2/Δ1 = 1144/-6864 = -1/6

  y = Δ3/Δ1 = -1716/-6864 = 1/4

The solution is (x, y) = (-1/6, 1/4).

_____

Additional comment

The weird numbers notwithstanding, the solution by elimination might be easily achieved by subtracting the second equation from the first. This would give ...

   208y -52 = 0   ⇒   y = 52/208 = 1/4

Direct substitution of this into either equation will require arithmetic with fractions to obtain the solution for x.

This system can be directly solved by a graphing calculator using the equations as given.

__

You can read more about the cross multiplication method of solving a system of linear equations here:

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Step-by-step explanation:

Given equation are: [1/{2(x+2y)}] + [5/{3(3x-2y)}] = -3/2 →Eqn(1)

[5/{4(x+2y)}] - [3/{5(3x-2y)}] = 61/60 →Eqn(2)

Let {1/(x+2y)} = a ; {1/(3x-2y)} = b then

{1/(2a)} + {5/(3b)} = -3/2 →Eqn(3) * 5/2

{5/(4a)} - {3/(5b)} = 61/60 →Eqn(4) * 1

__________________________________

{5/(4a)} + {25/(6b)} = -15/4

{5/(4a)} - {3/(5b)} = 61/60

(-) (+) (-)

______________________

{23/(6b)} + {3/(5b)} = -(15/4) - (61/60)

⇛{(125b + 18b)/(30b²)} = {(-225 - 61)/60}

⇛{(143b)/(30b²)} = -286/60

⇛{143/(30b)} = -286/60

⇛1/b = -1

Therefore, b = -1

Substitute the value of b in equation (3) then we have

{1/(2a)} + (5/3) = -3/2

⇛{1/(2a)} = -(3/2) - (5/3)

= (-9-10)/6

⇛{1/(2a)} = -19/6

⇛1/a = -19/3

a = -3/19

Now, {1/(x+2y)} = a ⇛-3/19

⇛x+2y = -19/3. ⇛3x + 6y = -19 →Eqn(5)

{1/(3x-2y)} = 1⇛ 3x - 2y = 1 →Eqn(6)

(-) (+) (-)

______________

8y = -20

y = -20/8

From equation (6)

3x - 2 * (-5/2) = 1

⇛3x - 5 = 1

⇛3x = 1+5

⇛3x = 6

⇛x = 6/3

Answer: Hence, the required value of x and y with be -5/2 and 2 respectively.

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Answer:

3 +7> 9-^2 = 47

Step-by-step explanation: i did this

Answer:

7/10 or 0.7 or 70%

Step-by-step explanation:

I would use a venn diagram, and fill it in! Then there are 7 do A &B and 3 who just do A. That as a probaility, your answer!

Answer:

The square root of 18.3 would be: 4.27784992724

Step-by-step explanation:

Answer:

x = 2.25

Step-by-step explanation:

X equals to 2.25. This is because the scale factor between 8 and 6 is 1 1/3.

Next, we take 3 and divide it with 1 1/3, ending up with 2.25.

Given that triangles OPQ and RST are similar triangles, the measure of side ST is: 75.3.

The ratio of the corresponding sides of two similar triangles are always equal, meaning the sides are proportional to each other.

Given:

Since Triangle OPQ is similar to triangle RST, therefore:

RS/OP = ST/PQ

Substitute

RS/17 = 31/7

Cross multiply

RS = (31 × 17)/7

RS = 75.3

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