If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel then prove that the two lines are parallel

Answer:

-T

Step-by-step explanation:

Im not the greatest at math but thats what i got.

Answer: true.

Step-by-step explanation:

just took the test

Answer:

aₙ= -2n²

Step-by-step explanation:

The sequence:

The difference between the terms:

As per above, the nth term is: aₙ= -2n²

The sequence:

Answer:

197,8879 N.

Step-by-step explanation:

The magnitude of the horizontal force exerted on the statue can be calculated using trigonometric functions.

The question given says that Nancy is pushing the statue with a force of 120 N at a 60° angle to the horizontal and Harry is pulling the statue with a force of 180 N at a 40° angle with the horizontal.

With that information can be calculated the horizontal force exerted on the statue by Nancy, the horizontal force exerted on the statue by Harry and, adding that results, the total horizontal magnitude can be calculated.

The cosine function can be used to calculate the horizontal component of the forces exerted by Nancy and Harry, to determine the horizontal component of the force exerted on the statue.

F= (120 N cos 60°) + (180 N x cos 40°)

F= 197,8879 N

Answer: 88/11.

Step-by-step explanation:

We want to find a expression, with a denominator of 11, that is equivalent to 8.

remember that if we have the expression A/B

the numerator is A, and the denominator is B.

Then we have:

A/11 = 8

we need to find the value of A.

To do this, we can multiply by 11 in both sides of the equation:

(A/11)*11 = 8*11

A = 88

Then the expression is:

88/11.

Answer:

B.

Step-by-step explanation:

The quickest and fastest way to do this is to guess and check. Simply plug in the given values one by one into a calc and you should see that x = 4 works.

Answer:

x=4

Step-by-step explanation:

7x-2(x - 10) = 40

Distribute

7x -2x +20 = 40

Combine like terms

5x +20 =40

Subtract 20

5x +20 -20 = 40-20

5x= 20

Divide by 5

5x/5 = 20/5

x =4

Answer:

15 ft²

Step-by-step explanation:

Area of a Triangle Formula: 1/2bh

We are given b and h. Simply plug them in and calculate:

1/2(5)(6)

3(5)

15

Answer:

13,27,43,23,39.

i think these r the prime numbers

The prime numbers are:

13, 43, 23

Answer:

147

Step-by-step explanation:

Given: Maria=3

Max=3 squared=9

Molly=Max+Maria=9+3=12

Mitch=Molly squared+Maria=144+3=147

Hope this helps!

Solution:

Since Max picks the number of apples that Maria does but squared, then Max picks 3^2=3 * 3=9 apples. Since Molly picks the number of apples that Maria picks plus the number that Max picks, Molly picks 3+9=12 apples. Finally, Mitch picks the number Molly picks squared plus the number Maria picks, so Mitch picks 12^2+3=12 * 12 +3=144+3=147 apples.

Answer:

The answer would be a 25% chance of picking the paper with a circle on it

Step-by-step explanation:

Since there are 4 pieces of paper there would be a 25% chance for each 25 x 4 is 100.

Answer:

2* (xy)^2

Step-by-step explanation:

First find the product of x and y

xy

The square it

(xy)^2

The twice it ( multiply by 2

2* (xy)^2

Answer:

D

Step-by-step explanation:

Answer:

D)1/3^8

Step-by-step explanation:

(3^-2)^4

3^-8

1/3^8

3 raised to the power of 8

1/6561 or 1/3^8

Answer:

4

Step-by-step explanation:

3p+8=20

3p=12

p=4

Answer:p=4

Step-by-step explanation:

2p+8=-p+20

Step 2: Add p to both sides.

2p+8+p=-p+20+p

3p+8=20

Step 3: Subtract 8 from both sides.

3p+8-8=20-8

3p=12

Step 4: Divide both sides by 3.

3p/3=12/3

p=4

Answer:

dsffoppo

Step-by-step explanation:

sg785 suuwooo

Answer:

No solution

Step-by-step explanation:

=> [tex]\frac{1}{4} (20-4a) = 6-a[/tex]

=> [tex]\frac{1}{4} *4(5-a) = 6-a[/tex]

=> [tex]5-a=6-a[/tex]

Adding a to both sides

=> [tex]5-a+a=6-a+a[/tex]

=> 5 ≠ 6

So, this equation has no solution.

Answer:

Inequality for donuts and brownies is;

d ≥ 1 ≤ b

Step-by-step explanation:

We are told that aria will buy donuts and brownies.

We are also told that, number of donuts is d while number of brownies is b.

We are also told that she must by at least a total of 6 donuts and brownies together. Which means that the sum of d and b must not be 6 or greater than 6.

So the inequality will be;

d + b ≥ 6

Thus, for the donut and brownies, inequality would be; d ≥ 1 ≤ b

Answer: d+b≥6 is the correct answer trust me

Answer:

so 2a+3b=±13

Step-by-step explanation:

4a²+9b²=97

ab=6

2a+3b=?

by using formula

(a+b)²=a²+b²+2ab

(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)

(2a+3b)²=4a²+9b²+12ab

putting values

(2a+3b)²=97+12(6)

(2a+3b)²=97+72

(2a+3b)²=169

taking square root on both sides

√(2a+3b)²=√169

2a+3b=±13

i hope it will help you

Answer:

2a+3b = 13

Step-by-step explanation:

Using this formula

[tex](x+y)^2 = x^2+y^2+2xy[/tex]

Where,

x = 2a and y = 3b

Putting in the above formula

=> [tex](2a+3b)^2=4a^2+9b^2+12ab[/tex]

Putting  4a²+9b² = 97 and ab = 6

=> (2a+3b)² = 97+12(6)

=> (2a+3b)² = 97+72

=> (2a+3b)² = 169

Taking sqrt on both sides

=> 2a+3b = 13

Answer:

3332 green beads

Step-by-step explanation:

There are 1428 more green beads than red beads.

There are 3,332 greed beads in the box

Given :

A box contains red, purple and green beads in the ratio 4:6:7

From the given ratio,

number of red beads = 4x

number of purple beads= 6x

number of green beads= 7x

There are 1428 more green beads than red beads.

green  beads =1428 + red beads

[tex]7x=1428+4x\\3x=1428\\x=476[/tex]

we know that number of green beads= 7x

number of green beads= [tex]7(476)=3332[/tex]

There are 3,332 greed beads in the box

learn more : brainly.com/question/20318626

Answer:

280 ft2

Step-by-step explanation:

The lateral area of this prism consists of seven rectangles, each one with dimensions 4 feet by 10 feet.

The area of one of these rectangles is:

[tex]A = base * height = 4 * 10 = 40\ ft^2[/tex]

Then, the area of the seven rectangles is:

[tex]Lateral\ area = 7*A = 7*40 = 280\ ft^2[/tex]

So the lateral area of this prism is 280 ft2.

Answer:

5.0 [tex]m^3[/tex]

Step-by-step explanation:

The volume of a rectangular  prism is given as:

V = L * W * H

where L = length

W = width

H = height

Put all the dimensions in the same unit, metre (m).

Length = 5 m

Width = 40 cm = 40 / 100 = 0.4 m

Height = 2500 mm = 2500/1000 = 2.5 m

The volume of the prism is:

V = 5 * 0.4 * 2.5 = 5.0 [tex]m^3[/tex]

Answer:

D

Step-by-step explanation:

[tex]\dfrac{\sqrt{4}}{\sqrt{25}}= \\\\\\\dfrac{2}{5}= \\\\\\0.4[/tex]

Hope this helps!

Answer:

D. 2/17

Step-by-step explanation:

Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.

Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.

Answer:

w=6

Step-by-step explanation:

w=6

If you double 5 on the bottom to get 10, you will also have to double 3 on the top.

An easy way you could do this is by cross products. 3(10)=5(w). w=6

Answer:

w = 6

Step-by-step explanation:

3/5 = w/10

Cross multiply.

10 × 3 = 5 × w

Multiply.

30 = 5w

Divide 5 on both sides.

30/5 = w

6 = w

Answer:

y/4 + x/12

Step-by-step explanation:

The number of working toys = x

The number of broken toys = y

Bert breaks 1/3 of the working toys, that is:

1/3 * x = x/3

The number of broken toys is now:

y + x/3

Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:

1/4 *(y + x/3)

= y/4 + x/12

Answer:

Y-x=0

i got it right on the lesson

Answer:

the last option is the answer

Step-by-step explanation:

test with point (1,1)

-x-y = 0

-1-1 ≠ 0

-2 ≠ 0

test with point (5,5)

-x-y = 0

-5-5 ≠ 0

-10 ≠ 0

Answer:

m = -3

Step-by-step explanation:

The slope formula is y2 - y1 / x2 - x1

7 - -5 = 7 + 5 = 12

-4 - 0 = -4

12 / -4 = -3

I hope this helps :))

[tex]\displaystyle\bf\\2cos^2y -sin\,y -1=0~~~for~~0^o\leq y \leq360^o\\\\cos^2y=1-sin^2y\\\\2(1-sin^2y) -sin\,y -1=0\\\\2-2sin^2y-sin\,y-1=0\\\\-2sin^2y-sin\,y+2-1=0\\\\-2sin^2y-sin\,y+1=0~~~\Big|\times(-1)\\\\2sin^2y+sin\,y-1=0[/tex]

.

[tex]\displaystyle\bf\\\boxed{\bf sin\,y=x}\\\\2x^2+x-1=0\\\\x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-1\pm\sqrt{1-4\cdot2\cdot(-1)}}{2\cdot2}=\\\\=\frac{-1\pm\sqrt{1+8}}{4}=\frac{-1\pm\sqrt{9}}{4}=\frac{-1\pm3}{4}\\\\x_1=\frac{-1+3}{4}=\frac{2}{4}=\boxed{\bf\frac{1}{2}}\\\\x_2=\frac{-1-3}{4}=\frac{-4}{4}=\boxed{\bf-1}\\\\sin\,y=\frac{1}{2}\\\\\boxed{\bf y_1=\frac{\pi}{6}~~or~~(30^o)}\\\\\boxed{\bf y_2=\frac{5\pi}{6}~~or~~(150^o)}\\\\sin\,y=-1\\\\\boxed{\bf y_3=\frac{3\pi}{2}~~or~~(270^o)}[/tex]

Answer: x = 5

Step-by-step explanation:

14 / 2 = 7

7 * 5 = 35

Same applies for x

2 / 2 = 1

1 * 5 = 5

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

  x^3 -y^3 = (x -y)(x^2 -(x^2 +y^2) +y^2) = (x -y)(0) = 0

The value of x^3 -y^3 is 0.

Step-by-step explanation:

The quotient is 0.125

I think this should be the answer

Answer:

0.125

Step-by-step explanation:

Answer:

q = -p-6

Step-by-step explanation:

=> 5q+2p+4 = 3q-8

(Combining like terms)

=>5q-3q = -2p-8-4

=> 2q = -2p -12

=> 2q = 2(-p-6)

Dividing both sides by 2

=> q = -p-6

[tex]q = - p - 6[/tex]

[tex]5q + 2p + 4 - 3q = - 8 \\ 2q + 2p + 4 = - 8 \\ 2q + 4 = - 8 - 2p \\ 2q = - 8 - 2p - 4 \\ 2q = - 12 - 2p \\ \frac{2q}{2} = \frac{ - 2p - 12}{2} \\ q = \frac{ - 2p - 12}{2} \\ q = - p - 6[/tex]