The data show the approximate lengths, in feet, of the six longest snakes and the six longest fish

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. Write your answer as

Paraphin [41]

Answer:

The probability of not spinning a 5, flipping heads, then spinning a 1 is 0.08

Step-by-step explanation:

I may assume the spin contains 5 numbers ( plz change and recalculate if the no. of numbers is different)

P(not spinning a 5) = 4/5

P(flipping head) = 1/2

P(spinning 1) = 1/5

P(not spinning a 5, flipping heads, then spinning a 1)= 4/5 * 1/2 * 1/5 = 0.08 = 0.1

5 0

3 years ago

Which of the following theorems verifies that ABC~WXY?

Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

Step-by-step explanation:

Given two triangle:

$\triangle ABC$ and $\triangle WXY$ .

The dimensions given in $\triangle ABC$ are:

$\angle A = 27^\circ\\\angle B = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ$

The dimensions given in $\triangle WXY$ are:

$\angle Y = 63^\circ\\\angle X = 90^\circ$

We know that the sum of three angles in a triangle is equal to $180^\circ$ .

$\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ$

Now, if we compare the angles of the two triangles:

$\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ$

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

$\triangle ABC \sim \triangle WXY$ by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0

2 years ago

Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the diagonal measurement from corner A to corner B.

astraxan [27]

Answer:

the diagonal measurement from corner A to corner B=15 inches

Step-by-step explanation:

as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.

let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9

so by using pythogoras theorem we have,

$D^{2} =X^{2} +Y^{2}$

$D^{2}$ =225

D=15

Hence the diagonal measurement from corner A to corner B is 15 inches.

7 0

3 years ago

Read 2 more answers

I don’t understand this can someone help me?

solong [7]

Answer:

f

Step-by-step explanation:

You know that:

X is congruent to angle Z which means they are the same size

the straight line below is equal to 180

Y is a right angle so its equal to 90

So that means:

if x and z are equivalent that means they are equal to 2x essentially

and if you add 90 you will get the total of the line

Hope this helps!!! :)

6 0

3 years ago

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression, 2.75+0.10x, where x

MissTica

Answer:

Step-by-step explanation:

step one:

Let the cost be y

to solve for the cost of a movie ticket, we need to solve the expression

y=2.75+0.10x

step two:

given that x is the number of years between 1980-2000

the number of years is 20years

put x= 20 in the expression for the cost we have

y=2.75+0.10(20)

y=2.7+2

y=$4.7

5 0

3 years ago