mrqualyn needs helppppppp

Answer:

110°

Step-by-step explanation:

4x+10 + (3x-5) = 180

7x + 5 = 180

7x = 175

x = 25

∠2 = 4(25) + 10 = 110

The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.

To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:

(4x + 10) + (3x - 5) = 90

Now, let's solve the equation to find the value of x. First, combine like terms:

4x + 3x + 10 - 5 = 90

7x + 5 = 90

Next, isolate x by subtracting 5 from both sides:

7x = 85

Finally, divide by 7 to solve for x:

x = 85 / 7 ≈ 12.14

Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:

Angle 2 = 4x + 10

Angle 2 = 4(12.14) + 10

Angle 2 ≈ 48.56 + 10

Angle 2 ≈ 58.56 degrees

To know more about angle here

https://brainly.com/question/4316040

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Answer:

m≤1

Step-by-step explanation:

The given inequality is :

−3(m+7)≥−24

Dividing both sides by -3.

(m+7) ≤ 8

Subtract 7 from both sides,

(m+7)-7 ≤ 8-7

m≤1

Hence, this is the required solution.

Answer:

31

Step-by-step explanation:

Median = middle number in terms of value

Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest

24, 25, 29, 30, 31, 31, 32, 34, 34

We the just go to the middle number

The middle number would be 31

So we can conclude that the median is 31

Answer: Approximately 9.43 meters

The more accurate version is 9.4339811320566 but that's not exact.

This is exact magnitude is sqrt(89)

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Explanation:

Let's draw an xy grid for this. Place the starting point at (0,0) which I'll call point A. Now let's say the mouse goes east 15 meters. That would move it to (15,0) which is marked as point B. Refer to the diagram below.

From point B, we move to C which is at (15,8). So the mouse has gone 8 meters north. It might help to turn the page so that the east direction is facing completely north, and then look to the left and you'll see "north". In other words, each 90 degree left turn is a 90 degree counterclockwise turn.

After doing another 90 degree counterclockwise turn, the mouse will move 10 meters westward. It moves from C(15,8) to D(5,8). Point D is the final position of the mouse.

-----------------------

A(0,0) was the initial position and D(5,8) is the final position

The vector v is

v = <5,8>

This is because we basically are saying "the mouse ultimately moved 5 meters east and 8 meters north" when going from start to finish. We're ignoring the intermediate stops along the way.

------------------------

Recall that for any vector of the form

v = <a,b>

the magnitude of that vector is

|v| = sqrt(a^2+b^2)

this is the length of the vector based on the pythagorean theorem.

Applying this formula gets us

|v| = sqrt(5^2+8^2)

|v| = sqrt(89)

|v| = 9.43398 approximate

This represents the straight line distance from start to finish, where we ignore any intermediate stops. So this isn't the distance the mouse travels (since it goes from A to B, to C to D). Instead, it's the distance it would travel if it wanted to take the shortest path from A to D.

Answer:

Step-by-step explanation:

9.4 for acellus

==================================

Work Shown:

sin(angle) = opposite/hypotenuse

sin(alpha) = MN/NP

sin(alpha) = y/z

---------

cos(angle) = adjacent/hypotenuse

cos(beta) = MN/NP

cos(beta) = y/z

----------

Both sin(alpha) and cos(beta) are equal to y/z, so that means sin(alpha) = cos(beta). This is true because alpha+beta = 90, ie the angles are complementary.

Similarly, you should find that sin(beta) and cos(alpha) are both equal to x/z, which is further proof that the statement is true.

Answer:

34

Step-by-step explanation:

70-2=68

side 1 & 3=1m each

68 divided by 2 = 34

side 2 & 4 = 34m each

Answer:

can you show the picture plz

Answer:

4.88

Step-by-step explanation:

That may be the question

[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]

The property above is distribution property where we distribute x-term in the function.

Substitute both f(x) and g(x) in.

[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]

Évaluate/Combine like terms.

[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]

The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)

[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]

Alternative

[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]

Answer

Both answers work. The second answer is in factored form.

Let me know if you have any doubts!

Answer:

13

HOPE THIS HELPS YOU......

Answer:

3..

Step-by-step explanation:

dont know the explanation sry i m beginner so .

Answer:

x = 60 degree

Step-by-step explanation:

90 + 90 + 2x - 10 + 2x + 2x + 10 = 540 degree (sum of 5 interior angles)

180 + 6x = 540

6x = 540 - 180

x = 360/6

x = 60 degree

the answer is 8 apples were rotten

Answer:

8 apples are rotten.

Step-by-step explanation:

2*12=24 . There are 12 apples in a dozen.

24/3=8

Answer:

2/3 feet.

Step-by-step explanation:

The formula for finding the area of a triangle is  A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.

Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.

Finally, we simplify! 4/6 simplifies to 2/3.

Answer:

4,2 is tge answer due to the interaction point plus it says the solution is at the interaction.

Answer:

C. I think

Step-by-step explanation:

Answer:

999999.9>repeating

Step-by-step explanation:

.1 more and it will be 7 digits and not 6 Hope this helps :D

9514 1404 393

Answer:

  444444₅ = 15624₁₀

Step-by-step explanation:

It will be 1 less than the smallest 7-digit base-5 number. That number is 5^6 = 15625, so the largest 6-digit base 5 number is 15624 in decimal. In base 5, it is 6 of the largest base-5 digits:

  444444₅ = 15624₁₀

__

The digits of the number cannot be any larger than the largest base-5 digit. The base-5 digits are 0 to 4, so the largest is 4.

Answer:

solid shade above

Step-by-step explanation:

graph line same way you would if it was an equal sign

all the y's that are greater are above the line

its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions

Answer:

a ) Upper bound of CI  is 7803483.87

b) The new upper bound is  8039767.74

Step-by-step explanation:

From sample data:

sample size    n  =  60

sample mean  x = 7500000

Sample standard deviation   s  =  1200000

a) Confidence Interval 95 %  then  significance level  α = 5 % o  α = 0.05

α/2 = 0.025     z(c) from z-table is  z(c) = 1.96

CI  95 % =  (   x  ±  z(c) * s/√n

CI  95 % =  (  7500000  ±  1.96 * 1200000/√60

CI  95 % =  (  7500000  ±  303483.87 )

CI  95 % =  ( 7196516.13  ;  7803483.87)

Then upper bound of CI  is 7803483.87

b) The company has to decrease the significance level equivalent to widen the confidence interval.

If CI now is   99.95 %    significance level is α = 0.0005 and

α/2 = 0.00025     z(c) for that α/2    is from z-table  z(c) ≈ 3.486

CI 99.95 %  = ( x ±  z(c)*s/√n

CI 99.95 %  =  7500000 ±  3.486*1200000/ √60

CI 99.95 %  =  (7500000 ±539767.74)

CI 99.95 %  = ( 6960232.26 ; 8039767.74)

The new upper bound is  8039767.74

Answer:

V = 678.24 cm^3

Step-by-step explanation:

Formula for volume of a cylinder:

the radius is half of the diameter (12/2 = 6)

[tex]V = \pi r^{2} h\\V = \pi 6^{2} 6\\\\V = 678.24[/tex] cm^3

Answer:

678.24 cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V  = pi r^2 h  where r is the radius and h is the height

We know the diameter

r =d/2 =  12/2 = 6

V = 3.14 * 6^2 * 6

678.24 cm^3

9514 1404 393

Answer:

  (b)  It is one-half the area of a square of side length 4 units.

Step-by-step explanation:

The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.

Answer:

B

Step-by-step explanation:

Hope you have a nice day! :o)

Answer:

Step-by-step explanation:

[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]

Answer:

that's my answer

hope it helps

9514 1404 393

Answer:

  (c)  fold it so R lies on top of S

Step-by-step explanation:

The crease will be the perpendicular bisector of RS when R and S are equidistant from it. That can be accomplished by folding the paper so points R and S lie on top of each other.

Answer:

36.2

Step-by-step

9514 1404 393

Answer:

  2

Step-by-step explanation:

We can solve for y to find the slope of the given line.

  x +2y = 2

  2y = -x +2 . . . . . subtract x

  y = -1/2x +1 . . . . divide by the coefficient of y

The slope is the x-coefficient, -1/2.

Any perpendicular line will have a slope that is the opposite reciprocal of this:

  -1/(-1/2) = 2

A perpendicular line will have a slope of 2.

Answer:

x=5

y = -2

(5,-2)

Step-by-step explanation:

3x+7y=1 and y=x-7

Substitute the second equation in for y in the first equation

3x+7( x-7)=1

Distribute

3x+ 7x - 49 = 1

Combine like terms

10x - 49 =1

Add 49 to each side

10x-49+49 = 1+49

10x = 50

Divide by 10

10x/10 = 50/10

x = 5

Now find y

y = x-7

y = 5-7

y = -2

Answer:

37

Step-by-step explanation:

fistly find how much different

3-1=2 5-3=2 7-5=2

so for the next and next value just plus two until the 19th then you will get 37

=============================================================

Explanation:

a = 1 is the first term

d = 2 is the common difference, since we add 2 to each term to get the next term.

The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1

The last step is to plug in n = 19 and you should get 2(19)-1 = 37