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2 years ago

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given 2 parallel lines and a transversal that intersects both parallel lines what must be true about pairs of corresponding angl

es

1 answer:

Phantasy [73]2 years ago

3 0

If two parallel lines are cut by a transversal, the corresponding angles are congruent.

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A store sells a note book for $3 each an does not charge

Law Incorporation [45]

So what your question

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3 years ago

Read 2 more answers

To celebrate the opening of a new store, when a customer gets to the register, they get to spin a prize wheel that is equally di

rodikova [14]

Answer:

81 / 1024

Step-by-step explanation:

Given that :

Wheel is divided into 4:

Hence, probability of winning either 10%, 20%, 30% or 50% = 1/4

Probability of winning 50% discount = 1/4

Probability of not winning 50% discount :

1 - 1/4 = (4 - 1) /4 = 3/4

Hence, probability that 50% is won by 5th customer :

(3/4) * (3/4) * (3/4) * (3/4) * (1/4)

= (3/4)^4 * (1/4)

= (81 /256) *(1/4)

= 81 / 1024

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2 years ago

How to find surface area of prisms

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

The formula for the surface area of a prism is obtained by taking the sum of (twice the base area) and (the lateral surface area of the prism). The surface area of a prism is given as S = (2 × Base Area) + (Base perimeter × height) where "S" is the surface area of the prism.

4 0

2 years ago

Triangle RST has vertices R(2, 0), S(4, 0), and T(1, –3). The image of triangle RST after a rotation has vertices R'(0, –2), S'(

sleet_krkn [62]

Answer with explanation:

Pre -image= Vertices of Δ R ST=R(2, 0), S(4, 0), and T(1, –3)

Image of Δ R ST after rotation= R'(0, –2), S'(0, –4), and T'(–3, –1)

Pre-Image lies in Fourth Quadrant and Image lies in Third Quadrant.

If triangle is rotated by different angles in anticlockwise direction,then

$(a,b)_{90^{\circ}}=(-b, a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(b, -a)$

If triangle is rotated by different angles in Clockwise direction,then

$(a,b)_{90^{\circ}}=(b, -a)\\\\(a,b)_{180^{\circ}}=(-b, -a)\\\\(a,b)_{270^{\circ}}=(-b, a)$

⇒→So, Pre image that is ,Δ R ST having vertices ,R(2, 0), S(4, 0), and T(1, –3) when rotated by either 90° in clockwise direction or by 270°, in anticlockwise Direction to get Image Δ R' S'T' having vertices R'(0, –2), S'(0, –4), and T'(–3, –1) .

7 0

3 years ago

Admission to a baseball game is $3.00 for general admission and $5.50 for reserved seats. The receipts were $3277.50 for 845 pai

a_sh-v [17]

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x -3y = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

-297 -297

__________

0 548

x=548

Hope this helps!

7 0

2 years ago