is this a corresponding angle, alternate exterior angle, vertical angle, a supplementary angle, or a linear pair?

Answer:

[tex]x = \frac{360}{11} [/tex]

[tex]y = \frac{60}{11} [/tex]

Step-by-step explanation:

Since 6y=x plug 6y in for x on the top equation.

[tex]2(6y) - y = 60[/tex]

[tex]12y - y = 60[/tex]

[tex]11y = 60[/tex]

[tex]y = \frac{60}{11} [/tex]

Plug y=60/11 into 6y=x

[tex]6( \frac{60}{11} ) = x[/tex]

[tex] \frac{360}{11} = x[/tex]

Plug 360/11 into 2x-y=60

[tex]2( \frac{360}{11} ) - \frac{60}{11} = 60[/tex]

[tex] \frac{720}{11} - \frac{60}{11} = 60[/tex]

[tex] \frac{660}{11} = 60[/tex]

The identity is true

Answer:

Step-by-step explanation:

0.226 gram.

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that the weight of 90 books is 50kg. We need to get the weight of a book first and this will be:

= 50/90

= 5/9

Therefore, the weight of 180 such books will be 5/9 multiplied by 180. This will be:

= 5/9 × 180

= 100kg

Answer:

1.042755456*10^21

Step-by-step explanation:

Answer:

$6,937.50

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 25000(.0925)(3)

Answer:

A

Step-by-step explanation:

12x² - 7y² - 10x² + y² = 12x² - 10x² - 7y² + y²

                                 = (12 - 10)x² + (-7 + 1)y²

                                  = 2x² + (-6y²)

                                  = 2x² - 6y²

Answer:

D) 42

Step-by-step explanation:

48 x 2= 96

180 - 96 = 84

84/2 = 42

Answer:

Step-by-step explanation:

4=2(2), 6=2(3) so the lcd is 2(2)3=12

Answer:

64

100

Step-by-step explanation:

8 x 8 = 64

10 x 10 = 100

Answer:8^2= 64 10^2= 100

Step-by-step explanation:

8*8=64: 10*10=100

Answer:

A little more than 3 times

Step-by-step explanation:

Answer:

5n-3

Step-by-step explanation:

hope i am right

Answer:

30 degrees

Step-by-step explanation:

180 - 120 = 60

60 / 2 = 30

Hope that helps!

Answer: 30°

Step-by-step explanation: because math

Answer:

The answer is 170 meters

Step-by-step explanation:

hope it helps :)

Answer:

hcf:3x^3-6x^2+y^2-3x+54

lcm:2(x+3)(x^2-3x+9)(x^3-3x^2+9)(y^2-3x+9)

Answer:

34 + x = 70 ; 36

Step-by-step explanation:

Given that:

Current amount = 34

Final amount = 70

Number of roses planted by the workers today ;

Current amount + number planted today = final amount

Let number planted today = x

34 + x = 70

x = 70 - 34

x = 36

Answer:

Acceleration and velocity

Newton's second law says that when a constant force acts on a massive body, it causes it to accelerate, i.e., to change its velocity, at a constant rate. In the simplest case, a force applied to an object at rest causes it to accelerate in the direction of the force.

Answer:

9

Step-by-step explanation:

Answer:

x=24

Step-by-step explanation:

$;$"+";$;";";'+$-$$+$+$+_+

Answer:

[tex]\huge\boxed{1.\ -120,\ -240}\\\boxed{2.\ \dfrac{10}{3},\ \dfrac{10}{9}}\\\boxed{3.\ \dfrac{27}{32},\ \dfrac{81}{64}}[/tex]

Step-by-step explanation:

[tex]\text{if}\\a_1,\ a_2,\ a_3,\ ...\text{is a geometric sequence}\\\text{then}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=const.=r\\\\a_n=a_{n-1}r[/tex]

[tex]1.\\-15,\ -30,\ -6\\\\\dfrac{-30}{-15}=-2;\ \dfrac{-6}{-30}=\dfrac{1}{5}[/tex]

it,s not a geometric sequence...

I think it should be:

[tex]-15,\ -30,\ -60,\ ...\\\\\dfrac{-30}{-15}=2;\ \dfrac{-60}{-30}=2\\\\next\\\\-60\cdot2=-120\\-120\cdot2=-240[/tex]

[tex]2.\\90,\ 30,\ 10,\ ...\\\\\dfrac{30}{90}=\dfrac{1}{3};\ \dfrac{10}{30}=\dfrac{1}{3}\\\\next\\\\10\cdot\dfrac{1}{3}=\dfrac{10}{3}\\\\\dfrac{10}{3}\cdot\dfrac{1}{3}=\dfrac{10}{9}[/tex]

[tex]3.\\\dfrac{1}{4},\ \dfrac{3}{8},\ \dfrac{9}{16},\ ...\\\\\dfrac{\frac{3}{8}}{\frac{1}{4}}=\dfrac{3}{8}\cdot\dfrac{4}{1}=\dfrac{3}{2};\ \dfrac{\frac{9}{16}}{\frac{3}{8}}=\dfrac{9}{16}\cdot\dfrac{8}{3}=\dfrac{3}{2}\\\\next\\\\\dfrac{9}{16}\cdot\dfrac{3}{2}=\dfrac{27}{32}\\\\\dfrac{27}{32}\cdot\dfrac{3}{2}=\dfrac{81}{64}[/tex]

Answer:

Yes, because m<UVW is congruent to m<XVY and m<VUW is congruent to m<VXY

Step-by-step explanation:

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = [tex]\frac{1}{3}[/tex] feet

volume of the portion to be covered = area x depth

                                                = 100 x [tex]\frac{1}{3}[/tex]

                                                = 33 [tex]\frac{1}{3}[/tex] cubic feet

The volume of the portion to be covered is 33 [tex]\frac{1}{3}[/tex] cubic feet.

The number of bags of mulch needed = [tex]\frac{33\frac{1}{3} }{2}[/tex]

                                                       = 16[tex]\frac{2}{3}[/tex]

                                                   = 16.6667

The number of bags of mulch needed is 17.

Answer:

(3c−2d)(2a+b)

Step-by-step explanation:

3bc−4ad+6ac−2bd

Do the grouping 3bc−4ad+6ac−2bd=(6ac−4ad)+(3bc−2bd), and factor out 2a in the first and b in the second group.

2a(3c−2d)+b(3c−2d)

Factor out common term 3c−2d by using distributive property.

(3c−2d)(2a+b)

Answer:

You brought 3 lbs of  potatoes

Step-by-step explanation:

divide 3.45 by 1.15

Answer:

3 (three)

Step-by-step explanation:

You have to divide 3.45 by 1.15 and you will get 3, you can also do the inverse which means the opposite 3 x 1 = 3 and 3 / 1 = 3.  

Answer:

Step-by-step explanation:Given :  right triangle ABC  ,  AE^2 + EB^2 =9 and BE^2 + EC^2 = 16

To find : AC

Solution:

BE ⊥  AC

∠AEB = 90°

=> ΔAEB is right angled

=> AB² = AE² + EB²

=> AB² =  9

∠BEC = 90°

=> ΔBEC is right angled

=> BC² = BE² + EC²

=> BC² =  16

∠ABC = 90°

=> AC² = AB² + BC²

=> AC² = 9 + 16

=> AC² = 25

=> AC = 5

AC = 5

The length of AC is 5 units.

Any three-sided polygon having three edges and three vertices is referred to as a triangle in geometry. The most important attribute of a triangle is that its internal angles sum to 180 degrees. The triangle's angle sum attribute is what is known as.

As per the given data:

We are given the diagram of ΔABC which is right-angled.

BE is perpendicular to AC.

AE² + EB² = 9 ...(i)

BE² + EC² = 16 ..(ii)

By using the Pythagoras theorem in ΔABE:

AE² + EB² = AB²

From comparing with eq (i)

AB² = 9

AB = √9 = 3 units

By using the Pythagoras theorem in ΔCBE:

BE² + EC² = BC²

From comparing with eq (ii)

BC² = 16

BC = √16 = 4 units

By using the Pythagoras theorem in ΔABC:

AB² + BC² = AC²

AC² = 3² + 4²

AC² = 9 + 16 = 25

AC = 5 units.

The length of AC is 5 units.

Hence, The length of AC is 5 units.

To learn more on Triangle, click:

brainly.com/question/19976619

#SPJ2

Answer: -270

Step-by-step explanation:

First, simplify the exponent

[tex]-6*(25+20)[/tex]

Then, distribute

[tex]-150+-120[/tex]

Then, subtract(add a negative)

[tex]-270[/tex]

Hope it helps <3 :)

Answer:

15

Step-by-step explanation:

5*6=30

8*4=32

30*16=480

480/32=15

Answer:

i did the first

Step-by-step explanation:

1st way

Standard form: a(X-h)²+k = ( -2/3X² -16/3X -32/3) +32/3 -17/3 = -2/3(X +4)² +5

y = -2/3*X^2-16/3*X-17/3

X = -4 ±√( 15/2) = -6.7386, or -1.2614

Axis of symmetry: X= -4; Vertex (maximum)=(h,k)=( -4, 5); y-intercept is (0,-5.66666666667)

two real roots: X=-1.2613872124776866 and -6.738612787477313

Answer:

Step-by-step explanation:

Vertex form is:

Vertex of the function is point (h, k)

b) Congruent to y = 2/3x² and opens down means:

Maximum value at (-4, 5) means:

The function is:

c) Congruent to y = 1/2x² and has minimum value y = -5 at x = -8:

The function is:

d) Vertex (-7, -2) and passes through the point (-3, 4)

Substitute coordinates and find a:

The function is: