Simplify the following expression.
11 - X 7

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

________________________________

5y-3y+12

=2y+12

So the new expression becomes 2y+12

hope it helps

Good luck on your assignment

________________________________

Answer:

2y+12

Step-by-step explanation:

Answer:

15:2; there are 2 counselors to every 15 campers

Step-by-step explanation:

Answer:

X=42

Step-by-step explanation:

AB and BC make a right angle

So, 24°+x+24° =90°

48°+x=90°

X=90°-48°

X=42

______________________________

a. 42 degree.

b.i. q=135 degree( being vertically opposite angles)

j=135 degree( being corresponding angles)

b.ii. 225

a. 24+X+24=90[ sum of complementary angles]

or, 48+X=90

or,X= 90-48

X=42 degree

b.i. q=135 degree( being vertically opposite angles)

Vertically angles are always equal to each other.

j=135 degree( being corresponding angles)

Corresponding angles are always equal to each other.

b.ii. p+135=180[ sum of angle in straight line]

or,p= 180-135

p=45 degree.

q= 135 degree[ being vertically opposite angles]

r=p[being vertically opposite angles]

r=45 degree

Now,

p+q+r

= 45+135+45

=225 degree

Hope it helps

Good luck on your assignment

__________________________________

Answer:

Step-by-step explanation:

surface area=4×5+2×1/2×3×4+5×5+3×6

=20+12+25+18

=75

Answer:

see explanation

Step-by-step explanation:

15

The x- coordinate of E is the same as the vertex F

The y- coordinate of E is the same as the vertex G

E = (b, c )

The x- coordinate of D is the same as vertex G

The y- coordinate of D is the same as vertex F

D = (a, 0 )

16

The x - axis is an axis of symmetry in the rhombus , thus

D is a reflection of B so D = (0, b )

The y- axis is an axis of symmetry in the rhombus, thus

E is a reflection of C so E = (a, 0 )

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

Answer:

its  B

Step-by-step explanation:

Answer:

He weighs 172 pounds

Step-by-step explanation:

you can look up conversions like this on google and it will give you the exact weight and everything!

After converting Lucas's weight of 78 kg is 171.192 pounds

It is the conversion of one unit to another unit with its standard conversion.

Example:

1 hour = 60 minutes

1 km = 1000 m

We have,

78 kg

Now,

1 kg = 2.204 pounds

Multiply 78 on both sides.

78 kg = 78 x 2.204 pounds

78 kg = 171.912 pounds

Thus,

78 kg is 171.912 pounds

Learn more about unit conversion here:

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Answer:

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

Answer:

C 6 yd by 7 yb

Step-by-step explanation:

Answer: De ansa is A m African sista.

Step-by-step explanation:

Answer:

(2, -2)

Step-by-step explanation:

Go along the x line to under point B (2) and then go up the y line to across form point B (2) then reflect it so (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

when you reflect from b you two down to the x axis and the do it again. you will get your coordinates

Answer:

Step-by-step explanation:

[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

Answer = 42.8

Step-by-step explanation:

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle

Answer:

y

Step-by-step explanation:

The variable in 8y^3 is y because a variable is a number that we don't know yet, and that is the only one.

Answer:

180 degrees rotation

Step-by-step explanation:

you take the. values of the object and multiply by -1 to obtain the values of the image

Answer:

144 degrees.

Step-by-step explanation:

Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.

After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.

First, before we get to the angle of 4, we have to find the value of x:

1) angle 1 + angle 2 = 180

3x + 12x = 180

2) solve the above equation for x

15x = 180

3) divide both sides by 15 for x

x= 12 degrees

We know that angle 4 is the same as angle 2, which is 12x degrees.

So, now that we know what x is, 12 x 12 degrees =  144 degrees.

Hope this helped : )

The measure of angle ∠4 is 144°

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

The measure of angle 1 = ( 3x )°

The measure of angle 2 = ( 12x )°

Angle 1 and Angle 2 are on the straight lines

So , the sum of the measures of angles = 180°

On simplifying the equation , we get

3x + 12x = 180

15x = 180

Divide by 15 on both sides of the equation , we get

x = 12

Substituting the value of x in the equation , we get

The measure of angle 2 = measure of angle 4 ( corresponding angles )

So , the measure of angle 4 = ( 12x )°

And , the measure of angle ∠4 = 144°

Hence , the angle ∠4 = 144°

To learn more about parallel lines cut by transversal click :

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Answer:

[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Step-by-step explanation:

If a line passing through two points, then the equation of line is

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the passing through (1,3) and (-9,-2).  So, equation of line in point slope form is

[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Now,

[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Answer:

The Answer is C

Step-by-step explanation:

i think This is correct

Answer:

work is shown and pictured

Answer:

(4x + 5)(4x + 5)

Step-by-step explanation:

Took test.

Want a more in-depth explanation? Try visiting the Math Nation site.

Answer:

B. y=(2x-3)/(x-4)

Step-by-step explanation:

Find the asymptotes.

Vertical Asymptotes:  

x  =  4

Horizontal Asymptotes:  

y  =  2

No Oblique Asymptotes.

The graph.

Answer:

d

Step-by-step explanation:

because what is 24 meters- 24meters=0

Answer:

44

Step-by-step explanation:

First you have to make sure that you move everything from one side to the other and set the equation equal to zero. Then you have to simplify the equation as much as you can so you get:

x/14

7 * (x/14)

eventually you get

(x-22)/2 =0

from there you can solve for 44

Answer: a

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The exterior angle  measurement is equal to the sum of the opposite interior angles

34+ 87 = z

121 = z

Answer:

109.2

Step-by-step explanation:

If the number being divided does not end in 5 or 0, it being divided by 5 will not be equal. Therefor it might be better to try and use a calculator if you can't do it in your head.

Explanation:

First lets do the long division method. First we need to fit 5 into 5. That would be 1. So we write a 1 above the 546. Then we need to fit 5 into 4. Well it doesn't fit so we write a zero move another number. How many 5s fit into 46 well that would be 9. All we have left is a remainder of 1 which cannot fit into 5 and there are no more numbers

Answer:

If you want a decimal that would be 109.2 or 109 1/5

Answer:

[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]

Step-by-step explanation:

Length of rectangular garden (l) = 16 feet

Width of rectangular garden (w) = 4 feet

[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]

[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]

Answer:

J - Age of Jan

G - Age of George

J + G = 65

J+10 = 4(G+10)

Step-by-step explanation:

Answer: I think is c

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

10-3=7