If m∠1 ≅ 115°, find m∠8. answers : 205° 115° 65° 25°

Answer:

1)

C. − 1

D. 2

2)

A. Distribute 4 to the quantity ( x+1).

B. Add − 8 to each side of the equation.

D. Multiply each side of the equation by 2

E. Subtract 12 from each side of the equation.

3)

[tex]f(x)=(r-x-s)^2+(r+s)[/tex]

4) The population of the city in the year 2000 was 50000. The population is decreases by 0.95 each year

Step-by-step explanation:

a) Given an equation:

ax² + bx + c = 0

The equation would have imaginary solutions if b² - 4ac is negative. That is:

b² - 4ac < 0

Given an equation: 3x²+2kx+2=0

a) If k = -5

a= 3, b = 2k = 2 × -5 = -10, c= 2

b² - 4ac = (-10)² - 4(3)(2) = 76 > 0

It would not produce imaginary solutions

b) If k = -3

a= 3, b = 2k = 2 × -3 = -6, c= 2

b² - 4ac = (-6)² - 4(3)(2) = 12 > 0

It would not produce imaginary solutions

c) If k = -1

a= 3, b = 2k = 2 × -1 = -2, c= 2

b² - 4ac = (-1)² - 4(3)(2) = -23 < 0

It would produce imaginary solutions

d) If k = 2

a= 3, b = 2k = 2 × 2 = 4, c= 2

b² - 4ac = (4)² - 4(3)(2) = -8 <0

It would  produce imaginary solutions

e) If k = 3

a= 3, b = 2k = 2 × 3 = 6, c= 2

b² - 4ac = (6)² - 4(3)(2) = 12 > 0

It would not produce imaginary solutions

f) If k = -5

a= 3, b = 2k = 2 × 4 = 8, c= 2

b² - 4ac = (8)² - 4(3)(2) = 40 > 0

It would not produce imaginary solutions

2)

A. Distribute 4 to the quantity ( x+1). to get:

1/2 x+12=8+4x+4

B. Add − 8 to each side of the equation. to get:

1/2 x+4=4( x+1)

C. Distribute 12 to the quantity ( x+1). This is not correct

D. Multiply each side of the equation by 2. to get:

x + 24 = 16 + 8(x +1)

F. Add together the 8 and the 4 on the right side of the equation. This is not correct

G. Multiply the left side of the equation by 2 to eliminate the fraction. This is not correct

3)

[tex]f(x)=x^2-2(r-s)x+(r-s)^2+(r+s)\\f(x)=x^2-2rx+2sx+r^2+s^2-2rs+r+s\\f(x)=x^2+r^2+s^2-2rs-2rx+2sx+r+s=(r-x-s)^2+(r+s)\\f(x)=(r-x-s)^2+(r+s)[/tex]

4) P( x )=50,000 ( 0.95 )^x, where x represents the number of years after the year 2000

At the year 2000, x = 0 therefore

[tex]P(x)=50000(0.95)^x=50000(0.95)^0=50000[/tex]

Since 0.95 is less than 1, it represent a population decay. 0.95 is the common ratio

The population is decreases by 0.95 each year

Answer:

1/20

Step-by-step explanation:

Take the # of blonde males and divide it by the total number of customers.

You get 5/100.

Now Simplify to get 1/20

Answer:

y[tex]\leq[/tex][tex]\frac{1}{3}[/tex]x-4; B

Step-by-step explanation:

The blue is in the y-values where it is more directed towards the negative y- values.

y=mx+b

[tex]\frac{1}{3}[/tex] slope= because rise is 1 and 3 runs and to find slope it is [tex]\frac{rise}{run}[/tex]

-4 is the "b" in y=mx+b where b represents the y-intercept and looking at the graph, the line intercepts at -4  

Answer: 78 %

Step-by-step explanation:

Sales - cost = profit

712-400 = 312

As a percentage 312/400 * 100= 78

Answer:

78%

Step-by-step explanation:

712 -400 = 312

312/400 x 100 = 78

Answer:

A, B and D

Step-by-step explanation:

Answer:

A , B , D

Step-by-step explanation:

You can clearly see that those angles have a square between them , thus they are right angkes

Answer:

x = -1 <--- axis of symmetry

(-1, -9) <-- vertex

2, -4  (or, in my old precalc class we wrote our roots as (2,0) and (-4,0))   <--- roots

Step-by-step explanation:

a) Axis of symmetry equation is defined as

[tex]-b/2a[/tex] = x  (i memorized this)

Quadratic equation form:

[tex]ax^2+bx+c[/tex]

And our original equation:

[tex]x^2+2x-8[/tex]

So..

[tex]-2/2 = - 1[/tex]

So our axis of symmetry is at x = -1,

b) now vertex point can be found by plugging this value back into our original equation.

y = [tex](-1)^2+2(-1)-8[/tex]

y = 1 - 2 - 8

y = - 9

So our vertex is at (-1, -9)

c) Finally, lets factor

[tex]x^2+2x-8[/tex] = 0  (when finding the roots, set y = 0, because we are trying to find where we cross the x-axis)

[tex]x^2-2x+4x-8[/tex] = 0

[tex]x(x-2) + 4(x-2) = 0[/tex]

[tex](x-2)(x+4)=0[/tex]

x = 2; x = -4 <--- Roots

Answer:

[tex] = 15 {x}^{2} + x - 2 \\ [/tex]

Step-by-step explanation:

[tex](3x - 1) \times (5x + 2) \\ 3x(5x + 2 ) - 1(5x + 2) \\ 15 {x}^{2} + 6x - 5x - 2 \\ = 15 {x}^{2} + x - 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Given:

To find out:

Find the area ?

Solution:

Area = ( 3x - 1 ) × ( 5x + 2 )

= 3x ( 5x + 2 ) - 1 ( 5x + 2 )

= 15x² + 6x - 5x - 2

= 15x² + x - 2

Thus, the area is 15x² + x - 2 .

Answer:

y-13

Step-by-step explanation:

y-3/3+12

because of order of ops you do 3/3 first

y-1+12

1+12 is 13 so

y-13

Answer:

ITS A

Step-by-step explanation:

CUZ IM A GENUIS mark.

Answer:

A

Step-by-step explanation:

just did the T3ST rn :)

Answer:

14.285% or 14.3% if rounded to the nearest one decimal place.

Step-by-step explanation:

4 ÷28 × 100

Answer:

-[tex]\frac{7}{2}[/tex] or -3[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

1/2 ÷ -1/7

1/2 × -7

-7/2

Answer:

B

Step-by-step explanation:

Well since it is arthimetic sequence we know the formula

We know d is difference between second term and first so it will be -5- (-12)= -5+12= 7

[tex]a_{n}= a _{1}+ d (n-1) \\a_{n}= -12+7(n-1)\\a_{n} = -12+7n-7\\a_{n}= 7n-19[/tex]

the domain of this is 1,2,3,4.......

range is -12,-5,2,9.......

Therefore answer is B.

Answer:

78 degrees

Step-by-step explanation:

x=108-30 PWP (Part Whole Postulate)

x=78         Solve

Answer:

See solution ( s ) below;

Step-by-step explanation:

1 . Consider the first attachment;

[tex]m< ( unknown ) = 30 degrees, - Given\\m< ( unknown ) = 108 degrees - Given,\\\\\\m< ( unknown ) + x = m< ( unknown ) - By Partition Postulate,\\30 + x = 108, - Through Algebra,\\Conclusion ; ( x = 78 degrees )[/tex]

Solution ; x = 78°

From a horizontal position, in reality we could only bed our knee to a maximum of a little less than 180 degrees. However, let's consider the max Randi can bend her leg as 180° ;

[tex]By Partition Postulate - 108 + x = 180,\\if x - degrees Randi Can Bend more,\\108 + x = 180,\\\\Conclusion ; ( x = 72 degrees )[/tex]

Solution ; Randi can bed her knee 72° further

3 . Consider 3x and 8x + 15 to be a linear pair,

[tex]3x + ( 8x + 15 ) = 180 - Linear Pair,\\\\3x + 8x + 15 = 180,\\11x + 15 = 180,\\11x = 165,\\Conclusion ; ( x = 15degrees)[/tex]

Solution ; x = 15°

Answer:

Correct option: first one

Step-by-step explanation:

If we reflect the triangle RST over the x-axis, the y-coordinate of each point will have the sign switched, so the point S would be in (1, -5), the point R would be in (1, -1) and the point T would be in (4, -1)

Then, if we translate the resulting points 2 units to the left, we would have:

S = (-1, -5) -> matches point C

R = (-1, -1) -> matches point A

T = (2, -1) -> matches point B

So the triangles are congruent, and we can map from triangle RST to triangle ACB with a reflection over the x-axis and a translation of 2 units to the left.

Correct option: first one

Answer:

5n+5p

Step-by-step explanation:

7n-2n+3p+2p

5n+5p (combine like terms)

the answer is 5n+5p

Answer:

-The Relationship:

Both [tex]\angle 2[/tex] and the [tex]18\textdegree[/tex] angle are supplementary.

The measure of [tex]\angle 2[/tex]:

[tex]\angle 2 = 162\textdegree[/tex]

Step-by-step explanation:

-The relationship about both [tex]\angle 2[/tex] and the [tex]18\textdegree[/tex] angle, is that they are supplementary, which they both add up to [tex]180\textdegree[/tex].

-To find the measure of [tex]\angle 2[/tex], you need to subtract [tex]18[/tex] from [tex]180[/tex] to get the actual angle measurement of [tex]\angle 2[/tex]:

Finding the measure of [tex]\angle 2[/tex]:

[tex]180 - 18 = 162[/tex]

[tex]\angle 2 = 162\textdegree[/tex]

So, now you have the measure of [tex]\angle 2[/tex] .

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

[tex]Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}[/tex]

The total frequency of the given data is 6+8+4+2+5+2

[tex]Total\ Frequency = 27[/tex]

The class with lower limit 27 has a frequency of 2;

Hence;

[tex]Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}[/tex] becomes

[tex]Relative\ Frequency = \frac{2}{27}[/tex]

[tex]Relative\ Frequency = 0.07407407407[/tex]

[tex]Relative\ Frequency = 0.0741[/tex] (Approximated)

You may also leave your answer in percentage form

[tex]Relative\ Frequency = 0.0741 * 100\%[/tex]

[tex]Relative\ Frequency = 7.41 \%[/tex]

Hence, the relative frequency is 7.41% or 0.0741

Answer:

hi

Step-by-step explanation:

Answer:

10*5 = 7x

Step-by-step explanation:

We can solve using cross products

10*5 = 7x

50 = 7x

divide each side by 7

50/7 =7x/7

50/7 =x

Hi!

So the first thing to do is to combine the common terms on each side.

On the left side, 13 and 2a cannot be put together because 2 has a multiplier that 13 does not.

On the right side, however, there are two numbers with the multiplier a. Add those together!

3a + 2a = 5a.

13 + 2a = 5a - 14

Now we want to isolate a to one side. Let's do the right side.

To do this, we have to subract 2a from both sides to get a on only one side.

13 + 2a - 2a = 5a - 2a - 14.

Subract.

13 = 3a - 14.

We have to do the same for the 14 on the right side. Instead, since the number is being subracted from 3a, we have to add it to both sides.

13 + 14 = 3a + 14 - 14.

27 = 3a

a = 9.

Answer:

x=3

Step-by-step explanation:

3^x = 27

Rewrite 27 as 3^3

3^x = 3^3

The bases are the same so the exponents are the same

x=3

Answer:

h=2

Step-by-step explanation:

8+h/10=1

multiply the 1 by 10

8+h=10

subtract 8 from 10

h=2

If the statement is true, the value of h = 2.

What is a statement?

Mathematical statement - a statement of a mathematical relation math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement equation - a mathematical statement that two expressions are equal.

What is true statement?

Students understand that an equation is a statement of equality between two expressions. When values are substituted for the variables in an equation, the equation is either true or false. Students find values to assign to the variables in equations that make the equations true statements.

Given,

(8+h)=10

given, the equation is true statement.

Therefore, 8+h = 10

h = 10 - 8

h = 2

To know more about true statement, visit:

https://brainly.com/question/17309546

#SPJ2

Answer:

the answer is C since you want to reflex it on the y axis

Answer:

It's 17, 21, and 25

Step-by-step explanation: hope it helps ^w^

Answer:

12 √8 ×

Step-by-step explanation:

There is two many variables in that I believe you meant. What is equivalent to 3 square root 8^1/4x? =12 √8 × . Hopefully this helped you .

Answer:

This would be graph A

Step-by-step explanation:

The graph decreases means the line goes down. crosses at -7 means the y intercept is -7 and then remains constant means a horizontal line

This would be graph A

Answer:

Graph A ; Option B

Step-by-step explanation:

Consider the criteria for the graph;

[tex]Criteria;\\\\Crosses Y - axis at Point - ( 0, - 7 ),\\Decreases Before Crossing Y - axis,\\Remains Constant after Crossing Y - axis,\\[/tex]

Now take a look at each option before us;

[tex]Graph A - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Remains Constant\\\\Graph B - \\1. Travels Upward,\\2. Crosses Y - axis at Point ( 0, 7 )\\3. Remains Constant\\\\Graph C - \\1. Travels Down,\\2. Crosses Y - axis at Point ( 0, - 7 )\\3. Travels Upward[/tex]

Comparing the three, we conclude that Graph A meets the provided criteria, which confirms that it is the right answer;

[tex]Solution ; Graph A[/tex]

Answer:

t= 0.2 I think.....

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The length of one part is 8 feet and the longer part is 17 feet.

Step-by-step explanation:

While the longer part is 1 foot more than twice the shorter part which means that l2=2x+1 l 2 = 2 x + 1

hope this helps

Answer:

a = 4.5 units

b = 7.5 units

Step-by-step explanation:

By using mean proportional theorem in the ΔACB,

ΔACB ~ ΔADC ~ ΔCDB

[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]

[tex]\frac{8}{6}=\frac{6}{a}[/tex]

a = [tex]\frac{6\times 6}{8}[/tex]

a = 4.5

[tex]\frac{AB}{CB}=\frac{CB}{DB}[/tex]

[tex]\frac{(a+8)}{b}=\frac{b}{a}[/tex]

Since a = 4.5

[tex]\frac{4.5+8}{b}=\frac{b}{4.5}[/tex]

b² = 4.5 × 12.5

b = √56.25

b = 7.5 units

Therefore, a = 4.5 units and b = 7.5 units will be the answer.