50 POINTS FOR THE CORRECT ANSWER!

Answer:

B

Step-by-step explanation:

The measure of the angle ABC in the given circle is 60°

A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.

Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,

We need to find the measure of the angle ABC,

So, using the property of a circle, we will have,

∠ ABC = 1/2 {arc DE + arc AC}

= 1/2 {45+75}

= 1/2 x 120

= 60

Hence, the measure of the angle ABC in the given circle is 60°

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Answer:

three sides

at least two sides of the same length

closed figure

Step-by-step explanation:

1) A triangle is a polygon.

2) Isoceles triangles have 2 equal angles.

3) A triangle has 3 sides

4) An isoceles triangle has 2 acute and 1 obtuse angle

5) An isoceles triangle means to have 2 sides of equal length.

6) A triangle is a closed figure.

Answer:

12 inchis

Step-by-step explanation:

Answer:

2.

A. GCF: 5x

B. GCF: 1

3.

A. 12x² + 38x - 14

B. 9x² - 6x + 1

C. 3x² + 4x - 5

Step-by-step explanation:

2.

a.

5x² - 30x

5x (x - 6)

GCF: 5x

b.

-12x² - 3xy - 4y²

GCF: 1

3.

a.

(2x + 7)(6x - 2)

2x(6x - 2) + 7(6x - 2)

12x² - 4x + 42x - 14

12x² + 38x - 14

b.

(3x - 1)²

(3x - 1)(3x - 1)

3x(3x - 1) - 1(3x - 1)

9x² - 3x - 3x + 1

9x² - 6x + 1

c.

(x + 3)(3x - 2) - (3x - 1)

3x(x + 3) - 2(x + 3)

3x² + 9x - 2x - 6

3x² + 7x - 6 - (3x - 1)

3x² + 7x - 6 - 3x + 1

3x² + 4x - 5

I hope this helps!

Answer:

216

Step-by-step explanation:

Split the image into geometric shapes, and then calculate the area of each shape, then add them all up to get your grand total of 216

Answer:

The answer is

→ A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5

Step-by-step explanation:

For every real x, (1.4)x is always positive, therefore the range would be y > 0, but (1.4)x + 5 adds 5 to every integer in the original range. This suggests that the real range is y | y > 5, or all positive values bigger than 5.

This is the sole choice for the range that A has, therefore, it should. (The other two characteristics hold true, as can be any real integer and lim h(x) = 5 x, implying that y = 5 is a horizontal asymptote of h(x).)

Therefore, A.) Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5 is your answer.

Hope this helped! :^)

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- ✨7272033Alt✨

Submitted on 4/20/2022 at 1:37 PM

(To avoid plagarism, by users whom decide to copy.)

Domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5. Option A is correct.

The given function is [tex]h(x)=1.4^x+5[/tex].

The domain of a function is the set of all valid inputs (x-values) for which the function is defined.

In this case, there are no restrictions on the base (1.4) raised to any real exponent, and thus, the domain includes all real numbers.

Therefore, Domain: {x | x is a real number}

The range of a function is the set of all possible output (y-values) that the function can produce.

In this case, the base (1.4) raised to any real exponent will always be positive, and when you add 5 to a positive number, you get values greater than 5.

Hence, the range consists of all real numbers greater than 5.

Therefore, Range: {y | y > 5}.

An asymptote is a line that a function approaches but never crosses.

For this exponential function, there are no vertical asymptotes since it is defined for all real numbers.

However, there is a horizontal asymptote. As the value of x approaches negative or positive infinity, the function h(x) will approach 5.

Therefore, Asymptote is y = 5.

Hence, option A is correct, domain: {x | x is a real number}; range: {y | y > 5}; asymptote: y = 5.

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Answer:

Step-by-step explanation:

The equation has two roots as a quadratic equation.

Elena's solution ends up with loss of one of the roots when cancelling the variable.

Lin gets two roots, so she is correct.

Answer:

Lin gave Correct answer

Step-by-step explanation:

Let's solve by ourselves once

verified

Answer:

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Explanation:

5

x

2

+

8

x

−

4

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

5

⋅

(

−

4

)

=

−

20

AND

N

1

+

N

2

=

b

=

8

After trying out a few numbers we get

N

1

=

10

and

N

2

=

−

2

10

⋅

(

−

2

)

=

−

20

, and

10

+

(

−

2

)

=

8

5

x

2

+

8

x

−

4

=

5

x

2

+

10

x

−

2

x

−

4

=

5

x

(

x

+

2

)

−

2

(

x

+

2

)

(

x

+

2

)

is a common factor to each of the terms

=

(

5

x

−

2

)

(

x

+

2

)

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Answer:

Step-by-step explanation:

Remark

There is only 1 way that you can get 1 2 3 4 5 in that order.

There are many possibilities of drawing 5 numbers from a total of 9 possible ones.

Total number of drawing 5 numbers.

Total = 9 * 9 * 9 * 9 * 9

Total = 59049

So putting the two facts together you get

Chance of getting (1 2 3 4 5)  = 1/59049

Answer: .000016935

Answer:x=-15

Step-by-step explanation:

2x+35-5=0

-35 +5. -35 +5

2x=-30

/2 /2

X=-15

Answer:

✓ 4 2/5 divided by 1 1/10= 4

Step-by-step explanation:

✓ Factor the numerator and denominator and cancel the common factors.

✓  Hopefully this helps you!

-Keira

When [tex]4\frac{2}{5}[/tex]  is divided by [tex]1 \frac{1}{10}[/tex]  we get the value 4.

Convert mixed numbers to improper fractions:

[tex]4\frac{2}{5}[/tex] = (4 × 5 + 2) / 5 = 22/5

[tex]1 \frac{1}{10}[/tex] = (1 × 10 + 1) / 10 = 11/10

Divide the two fractions:

(22/5) ÷ (11/10)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(22/5) × (10/11)

220/55

220/55 can be reduced by dividing both the numerator and denominator by their greatest common divisor, which is 5:

(220 ÷ 5) / (55 ÷ 5)

= 44/11

=4

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so Ms. Davis gets hmmm say "x" percent from sales as her commission, and we know she did in sales $309 and made $27.81.

if we take 309 to be the 100%, and x% of that is 27.81, what's "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 309 & 100\\ 27.81& x \end{array} \implies \cfrac{309}{27.81}=\cfrac{100}{x} \\\\\\ 309x=2781\implies x=\cfrac{2781}{309}\implies x=9[/tex]

Answer:

i think it would be 45

hope im right

if not i can change it

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

The circle is divided into 8 equal arcs, each arc measuring an angle of:

360/8 = 45°

Hope this helps

Answer:

(f + g)(x) = x + 5

Explanation:

f(x) = 2x + 3

g(x) = 3x + 2

===========

Answer:

[tex](f+g)(x)=5x+5[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=2x+3[/tex]

[tex]g(x)=3x+2[/tex]

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]

Answer:

A. Variable

B.  Unit Rate

C. Inverse Operations

D.System of linear equations

Answer: 4 [tex]\frac{7}{8}[/tex] pounds of apples

Step-by-step explanation:

     We will subtract the apples used from the original pounds of apples to solve this question. First, I will turn all units into eighths to subtract.

8 1/2 -> 8 4/8

1/2 -> 4/8

3 1/8 -> 3 1/8

     Next, I will subtract and simplify as I go.

8 4/8 - 4/8 - 3 1/8

8 - 3 1/8

8 - 3 = 5, 5 - 1/8 = 4 7/8

   Marco has 4 7/8 pounds of apples left.

Answer:

Cora worked 3 hours

Step-by-step explanation:

104 = 18x + 50 ( x = # of hours worked)

54 = 18x   ( subtracted 50 from both sides)

3 = x    ( divided both sides by 18)

Answer:

Part 1: 2.25

Part 2: (5, 11.25)

Step-by-step explanation:

Part 1: 33.75/15= 2.25

Part 2: 5*2.25= 11.25

Answer:

Adjacent angles.

Step-by-step explanation:

a and b are next to each other on a straight line.

Answer:

20.3

Step-by-step explanation:

6x+2+56=180

    -2 -56  -58

6x= 122

/6    /6

x=20.3

Answer:

angle fde = 37 degree

Step-by-step explanation:

we have,

angle bdc = angle fde

for angle bdc

adf = 90, adb = 53

let the value be x

=>             90+53+x = 180

=>             143+x = 180

=>             x = 180 - 143

=>             x = 37

bdc = 37

so, fde = 37

Answer:

6

Step-by-step explanation:

These are similar triangles, which means the side lengths are proportional!

30:5=6, so there is a scale factor of six.

36/6 is six!

Answer:

PR = 6

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion , that is

[tex]\frac{AC}{PR}[/tex] = [tex]\frac{BC}{QR}[/tex] ( substitute values )

[tex]\frac{36}{PR}[/tex] = [tex]\frac{48}{8}[/tex] = 6 ( multiply both sides by PR )

6 PR = 36 ( divide both sides by 6 )

PR = 6

Answer:

(1) N or n = 20

(2)  = 43.4

(3) σ = 9.78 and s = 10.04.

Step-by-step explanation:

Answer:

181..

Step-by-step explanation:

        1 8  1   <     answer

      -----------

        32761

  1     1    

        227

 28   224      

              361

 361        361

Answer:

They do not pay the same amount. Manuel's family pays more than Amelia's.

Step-by-step explanation:

General:

Child: c

Adult: 4 + c

Senior: 3 + c

Amelia's Family:

Total cost = 3(c) + 2(4 + c)

= 3c + 8 + 2c

= 5c + 8

Manuel's Family:

Total cost: 2(c) + 4 + c + 2(3 + c)

= 2c + 4 + c + 6 + 2c

= 5c + 10

Answer:

Step-by-step explanation:

10/7 x 9/8 = 90/56 = 45/28.

7/9 x 8/10 = 56/90 = 28/45

If you want to multiply these, the answer is (28*45) / 28/45) = 1.

Answer:

((((10 / 7) * 9) / 8 7/9) * 8) / 10 = 1.17179024

fraction: 7323689 / 6250000

decmal:1.17179024

Answer:

82 yd²

area of rectangle:

Length * Width

area of 2nd rectangle

area of triangle

total:

Answer:

? = 49

Step-by-step explanation:

To solve this we just need to understand that when A=1, B=7. So when the side for a is 7 that is basically multiplying A by 7 so we have to do the same to the B side. So when the B side is multiplied by 7 it would be 7*7 =49 so the ? is equal to 49 when that similar side is equal to 7.

This is all based on the fact that the two triangles must be similar triangles.

Answer:

2816 x 7 is 19712.

Step-by-step explanation:

I'm not going into detail, but simply, use a calculator

Answer:

the answer is 19,712

Step-by-step explanation:

ur welcome