Find m∠1 and m∠3 in the kite. The diagram is not drawn to scale.

Answer:

Mean: 50.8 or 51 (rounded)

Median: 51.5 or 52 (rounded)

Step-by-step explanation:

To find the mean I added all the numbers then divides my sum but the number of numbers.

To find the median I listed the numbers from least to greatest.There are two middle numbers so I added the two numbers and divided the same by 2.

Answer:

27 dollars

Step-by-step explanation:

Answer:

i. [tex]x^{2}[/tex] + 26x + 144 - 299 = 0

ii. x = 5

Step-by-step explanation:

The area of the figure = 299 cm²

The figure has a shape of a rectangle, so that;

Area of rectangle = length x width

length of the figure = 18 + x

width of the figure = 8 + x

Area of the figure = (18 + x) x (8 + x)

299 = (18 + x) x (8 + x)

299 = [tex]x^{2}[/tex] + 26x + 144

[tex]x^{2}[/tex] + 26x + 144 - 299 = 0

[tex]x^{2}[/tex] + 26x - 155 = 0

applying the trigonometric formula;

x = (-b ± [tex]\sqrt{b^{2} - 4ac}[/tex]) ÷ 2a

= (-26 ± [tex]\sqrt{(26)^{2} - 4(1*-155)}[/tex]) ÷ 2

= (-26 ± [tex]\sqrt{676 +620}[/tex]) ÷ 2

= (-26 ± [tex]\sqrt{1296}[/tex]) ÷ 2

= (-26 ± 36) ÷ 2

x = (-26 + 36) ÷ 2  OR x = (-26 -36) ÷ 2

  = 10 ÷ 2 OR -62 ÷ 2

  = 5 OR -31

Thus, x = 5

Answer: Look at the step-by-step

Step-by-step explanation:

Part A: We can use two right triangles that represent rise over run to explain the slope of points A and B which has the same slope of points A and C. Since there will be two right triangles, they are considered similar triangles.

AB: 154 - 110= 44

44/2= 22

AC: 154 - 66 = 88

88/2=44

This means that the slope of the two sets of points is 44, and it represents the rate of change of the shark travelling away from the ocean’s surface every minute.

Part B: The initial value is 66 (m), and it represents the initial position of the shark at 0 minutes.

The equation of line is y =  where y is the distance from ocean surface and x is the time taken in minutes , where the slope is m = 44 m/min

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the number of minutes be x

Let the distance from ocean surface be y

Let the first point be P ( 0 , 66 )

where P is the initial point of the graph

Let the second point be Q ( 2 , 110 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 110 - 66 ) / ( 2 - 1 )

Slope m = 44

And , the equation of line is

y - 66 = 44 ( x - 0 )

Adding 66 on both sides , we get

y = 44x + 66

Hence , the equation of line is y = 44x + 66

To learn more about equation of line click :

https://brainly.com/question/14200719

#SPJ2

Answer:

The equation of line shown in the graph is [tex]\mathbf{y=-\frac{1}{2}x -1}[/tex]

Step-by-step explanation:

We need to find equation of the line shown in graph.

The equation of line will be in slope-intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding y-intercept

Looking at the graph, we can find y-intercept when x =0, the value of y is known as y-intercept.

So, when x =0, y=-1

So, y-intercept is -1

Finding Slope

Now, for finding slope, consider 2 points on graph

(0,-1) and (-2,0)

Slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

We have [tex]x_1=0, y_1=-1, x_2=-2, y_2=0[/tex]

Putting values and finding slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{0-(-1)}{-2-0} \\Slope=\frac{0+1}{-2-0} \\Slope=\frac{1}{-2} \\Slope=-\frac{1}{2}[/tex]

So, slope is [tex]m=-\frac{1}{2}[/tex]

Equation of line

Now, equation of line having slope [tex]m=-\frac{1}{2}[/tex] and y-intercept b = -1 is

[tex]y=mx+b\\y=-\frac{1}{2}x -1[/tex]

So, equation of line shown in the graph is [tex]\mathbf{y=-\frac{1}{2}x -1}[/tex]

Answer: -18 degrees

Step-by-step explanation:

-12 -3 = -15 -3 = -18

(it is only a 2 hour time period and it drops 3 °F per hour)

                               ~Notify me if you have questions~

                              Have a nice day and I hope it helps!

                                                         ^ω^

-- XxFTSxX

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

9514 1404 393

Answer:

  the correct answer is marked

Step-by-step explanation:

Angles 1 and 5 are corresponding. When they are congruent, the lines are parallel. The correct answer choice is marked.

Answer:

4578286

Step-by-step explanation:

35-284+4578567-32 = 4578286

hope this helps...

Answer

A. 2√3

B. 3√3

C. 5√2

Explanation

A. √12 = √4×3 ________ so we know that 4×3 gives us 12

= √4 ×√3_______since it is a multipling we can separate the square

= 2√3__________ we put 4 out of the square but not 3 because it is not

a perfect square

B. √27 = √9×3

= √9 × √3

= 3√3________simplified form

C. √50 = √25×2

= √25 × √2

= 5√2 ________ simplified form

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

Answer: i think c

Step-by-step explanation:

i thought this was free points lol

Answer:

C

Step-by-step explanation:

Cause percent by is by the hundredths and that you multiply by the variable

Answer:

b

Step-by-step explanation:

To find the y- intercept, let x = 0 in the equation and solve for y, that is

y = [tex]log_{10}[/tex](0 + 100) - 4

  = [tex]log_{10}[/tex] 100 - 4

  = 2 - 4

 = - 2 ← y- intercept → b

The y-intercept of the function y = log (x + 100) - 4 is -2

The y-intercept is the point where the line intersects the y-axis.

Given a function, y = log (x + 100) - 4

Solving for the y- intercept,

Let x = 0 in the equation and solve for y, that is

y = log(0 + 100) - 4

=  log100 - 4

= 2 - 4

= -2

Hence, The y-intercept of the function y = log (x + 100) - 4 is -2

For more references on y-intercept, click;

https://brainly.com/question/14180189

#SPJ2

Answer:

x=-2

Step-by-step explanation:

-8-4=

-4

there the x value since there two x so u divide 2x=-4

×=-2

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ second\ is \ correct . }}} [/tex]

A linear inequality is given to us . And we need to find the correct number line. So the given linear inequality is :-

[tex]\bf\implies 3x -2 \leq 2x + 1 \\\\\bf\implies 3x -2x \leq 2 + 1 \\\\\bf\implies x \leq 2 + 1 \\\\\bf\implies\boxed{\red{\bf x \leq 3 }}[/tex]

This means that the value of x can be less than or equal to 3 . That is it means x ≤ 3. So , the required solution set will be ,

[tex]\boxed{\purple{\bf \{x | x \in \mathbb{R} , x \leq 3 \}}}[/tex]

Answer:

second option is correct:)

Step-by-step explanation:

Answer:

x^2/2+4x+8 hope this helps

Answer:

The value of x = 5

Step-by-step explanation:

It is clear that a traversal line is passing through two parallel lines.

It is also clear that:

The angle (35+2x)° and 60° are on the outside of the parallel lines and on the opposite side of the traversal. Therefore, (35+2x)° and 60° are Alternate Exterior Angles.

Please remember that Alternate Exterior Angles are congruent, so

35 + 5x = 60°

subtract 35 from both sides

35 + 5x - 35 = 60° - 35

5x = 25

divide both sides by 5

5x/5 = 25/5

x = 5

Therefore, the value of x = 5

Answer:

1

Step-by-step explanation:

Answer:

unit_4_study_guide_solutions.pdf

Step-by-step explanation:

This link is a study guide, and on the LAST PAGE it has the answer to your question!

Answer: y = -2x + 5

Step-by-step explanation:

y = -2x + 5

slope = -2

Slope intercept form of equation of line is given by y = mx + c

where m is the slope of line

c is the y intercept i.e point where given line intersect y axis.

________________________________________________

given equation 4x + 2y = 10

we have to re-write this equation in form y = mx + c

4x + 2y = 10

subtraction 4x from LHS and RHS

4x + 2y - 4x= 10 - 4x

2y = 10- 4x

we have to eliminate 2 from y for that we

divide  LHS and RHS by 2 we

2y /2 = 10/2- 4x/2

y = 5 - 2x

rearranging it in y = mx+c form

y = -2x + 5

thus, m = -2 , c = 5

Answer:

y=-2x+5, slope= -2, y-intercept= 5 (so, first option)

Step-by-step explanation:

y=mx+b. m is the slope, and b is the y-intercept. to get the equation to the slope intercept form, you get y by itself- subtract 4x from both sides and then divide by 2 on both sides.

Answer:

x = 1

Step-by-step explanation:

11 = 7 + 4x

Subtract 7 from both sides

11-7 = 7-7 + 4x

4 = 4x

Divide 4 from both sides

4/4 = 4x/4

1 = x

x = 1

Check:

11 = 7 +4(1)

11 = 7+4

11 = 11

Hope this helps. Have a nice day.

Answer:

3

Step-by-step explanation:

-5(6-2y)

-30+10y=0

10y=30

y=3

Answer:

The answer is A

Step-by-step explanation:

here you go mate'

Step 1

(8x - 7) + (-2x - 9) - (4x - 3)  equation

step 2

(8x - 7) + (-2x - 9) - (4x - 3)  expand by distributing

8x+-7+-2x+-9+-4x+3

step 3

8x+-7+-2x+-9+-4x+3  combine terms

answer

2x-13

can i get brainliest if you dont mind?

Answer:

x=2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

Step-by-step explanation:

w= 7

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

Answer:

D. Angle bisector

Step-by-step explanation:

In the diagram shown, segment AC divides the major angle into two equal parts. The two angles divided are congruent to each other.

An angle bisector divides an angle by bisecting the angle.

Therefore, segment AC is referred to as an angle bisector.

Answer:

22

Step-by-step explanation:

Answer:

table B

every other input and output has the same number in a table

Answer:

b

Step-by-step explanation:

did it on flvs

Answer:

Infinite Solution

Step-by-step explanation:

We know that there are no variables on either die of the equation so the answer would be infinite because when you put a number for the variable it will always be true.

Hope this helps :)

Answer:

[tex]x=16 * cos(46)[/tex]

Step-by-step explanation:

Well, first let's look at our trig identities. We can set up a cosine function using the given angle:

[tex]cos (46^{o} ) = \frac{x}{16}[/tex] (adjacent/hypotenuse)

Then, multiplying both sides by 16 gives us:

[tex]x=16 * cos(46)[/tex]

Hope this helps!