A bakery has 12 desserts for sale, including 3 slices of pie.
What is the probability that a randomly selected dessert will be a slice of pie?
Write your answer as a fraction or whole number.
P(slice of pie) =

Answer:

XZ > XY > YZ

Step-by-step explanation:

1. Approach

To solve this problem, one must find the value of (x), then the measure of every angle in the triangle. Remember, the sum of all angles in a triangle is equal to 180 degrees. Another property of a triangle is that the largest side of a triangle will be opposite the largest angle of the triangle, conversely, the smallest side of a triangle will be opposite the smallest angle in the triangle.

2. Find the value of (x)

The sum of all angles in a triangle is equal to 180 degrees. Using this theorem, one can state,

m<X + m<Y + m<Z = 180

Substitute,

(50) + (5x + 10) + (5x) = 180

Simplify,

10x + 60 = 180

Inverse operations,

10x + 60 = 180

       -60     -60

10x = 120

/10    /10

x = 12

3. Find the measure of each angle

Now substitute the value of (x) into the expressions given to represent the value of each angle.

m<X = 50

m<Y = 5x + 10 = 5(12) + 10 = 60 + 10 = 70

m<Z = 5x = 5(12) = 60

4. Now apply this to find the comparative lengths of the sides

One property of a triangle is that the side opposite the largest angle in the triangle is the largest side. Moreover, the side opposite the smallest angle in a triangle is the smallest side. In this problem, it is impossible to find the exact lengths of the sides of the triangle, but one can find out which side is larger or smaller than the other side.

m<Y = 70

m<Z = 60

m< X = 50

m<Y > m<Z > m<X

Side XZ is opposite m<Y

Side XY is opposite m<Z

Side YZ is opposite m<X

This means,

XZ > XY > YZ

Answer:

600 km

Step-by-step explanation:

72 (km on 6 L of gasoline) / 6 (liters of gasoline) = 12 (km per liter)

50 (liters of gasoline) * 12 (km per liter) = 600 (km that Jacqueline can drive using 50L of gasoline)

I hope this helps :)

Answer:

600

Step-by-step explanation:

took the test

Answer:

6

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

2² + b² = 3²

4 + b² = 9

5 = b²

2.2 ≈ b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(2 x 2.2)

1/2(4.4)

2.2

Calculate the area of the bigger triangle:

We know that the longer leg is 3.8 units because we were able to subtract the length of the smaller triangle's leg from 6.

1/2(bxh)

1/2(2 x 3.8)

1/2(7.6)

3.8

Add both areas to find the area of the largest triangle:

3.8 + 2.2 = 6

Answer:

When you rotate a triangle horizontally, a cone is formed.

basically all you're doing here is subtracting 6 from 11. 11-6=5, add the - sign, so the answer is -5

Answer:

5²+1×2 - 4(4) = 11

Step-by-step explanation:

up top when it says a = 4

and b = 5 that's means b and a are those numbers.

then while 4 is touching a that means to multiply. And the 2 up top of b means 5×5, then do order of operations to find the answer. If you dont you'll get it WRONG.

Order of operations is this

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(X+5) = 144   (if on side measures (x+5)  then P will be the 4 sides added

                        so adding the same value repeatedly means multiplication.

 -  Distribute:  4x + 20 = 144

-     Inverse op. to isolate the variable minus 20 from both sides

-     4x = 124

-     Divide by 4 on both sides

-      124/4 = 31

-      x = 31 units

Answer: See the diagram below

There are infinitely many ways to do this. So there isn't one set answer. However, all of the answers have these properties in common.

In the diagram below, I've made distribution B wider and more spread out compared to distribution A. Distribution B has a higher standard deviation. The larger the standard deviation is, the more spread out the data values will be. Standard deviation is always some positive number.

Both distributions are centered at 0, which is the mean. You could change the center to whatever you want, but make sure both distributions have this same center value.

As the diagram shows, each curve is symmetric about the center point. The left half can be reflected over the center line to get the right half, and vice versa. The curves peak at the center because this is where the majority of the data values are located. As you move to either end, the curve levels off to indicate not as many individuals are found here.

Answer:

∀s ∈ D, C(s) - - - > E(s)

∀s ∈ D, C(s) - - - > ~ E(s)

∃s ∈ D such that M(s) ∧ C(s)

Step-by-step explanation:

D = set of all students

M(s) = s math major

C(s) = s Computer science major

E(s) = s Engineering major

Expressing the following using quantifies variables and predicates :

A.) Every computer science student is an engineering student

∀s ∈ D, C(s) - - - > E(s)

b. No computer science students are engineering students

∀s ∈ D, C(s) - - - > ~ E(s)

c. Some computer science students are also math majors

∃s ∈ D such that M(s) ∧ C(s)

∃s = Existential Domain

∀s = universal

∧ = connective and

~ = not

∈ = belongs to

Answer:

49

Brainliest :)

Answer:

B:-1

Step-by-step explanation:

Just took test 2021

Answer:

Step-by-step explanation:

The given function is a piecewise function with characteristics that vary with the value of x.

Please find attached the graph of h(x).

Reasons:

The given information is presented as follows;

From the above piecewise function, we have;

For x ≤ 0, the slope of the graph of h(x) =

For 0 < x ≤ 3, the slope of the graph of h(x) =

For x ≥ 4, the slope of the graph of h(x) =

Therefore, as we progress from left to right, the slope of h(x) increases and

the slope of the graph becomes steeper.

The graph of h(x) is plotted with the given equations using MS Excel as

shown in the attached diagram.

Answer:

30

Step-by-step explanation:

21*10=210

210/7=30

x=30

Answer:

30..

Explanation

Answer:

$5250

Step-by-step explanation:

multiply the cost by the number of people

Answer:

The answer is 5250

Step-by-step explanation:

Add 20 plus ten which is thirty then multiply that buy 175 which is 5250$

Answer:

[tex]\sum_{i=0}^{15} (3i-1)[/tex]

Step-by-step explanation:

for i=0 you have the first term, 3*0-1 = -1

for i=1 you have the second term, 3*1-1 = 2

...

for i=15 you have the last term, 3*15-1 = 44

Answer:

700,000

Step-by-step explanation:

55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.

Answer:

655,325

Step-by-step explanation:

Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.

Answer:

the answer is .008 if my math is correct

Answer:

42−{(7+14)÷7}×4

42 - {21 ÷ 7} x 4

42 - 3 x 4

42 - 12

30

Step-by-step explanation:

Answer: $16,244.55

Step-by-step explanation: Multiply $19,100 by .19 to find the discount. Then subtract that number from the original to find the discounted price. Then multiply the discounted price by .5 to find the tax. Add the tax to the discounted price to find the discounted taxed price. This is the final price and is $16,244.55

The x - intercept of the line is at Point X(9, 0).

We have the following equation of a straight line -

y = 4x - 36

We have to find the x - intercept of the of this line.

The general equation of a straight line is as follows -

y = mx + c

where -

m - slope of line

c - intercept of line on y - axis.

According to the question, we have -

y = 4x - 36

Now, comparing this line with the general equation of line -  y = mx + c, we get -

m = 4

c = - 36

for the x - intercept of the line, substitute y = 0. We get -

0 = 4x -36

4x = 36

x = 9

Hence, the x - intercept of the line is at Point X(9, 0).

Refer to the graph attached for more clarity.

To solve more questions on Graphs of straight line, visit the link below -

brainly.com/question/27757761

#SPJ2

Answer:

Part c

Step-by-step explanation:

In quadratic equations of real coefficients, the complex roots always occur in conjugate bases. It means, if, 2 + 3i is one of the roots and then the second root must be 2 - 3i.

The pair of values that can not be the roots of a quadratic polynomial is 2 + 3i and 2 + 3i

A polynomial is an expression consisting of the operations of addition, subtraction, multiplication of variables.

Polynomials can be classified based on degree as linear, quadratic, cubic, etc.

If the root of a quadratic polynomial is a complex number, then it must be in conjugate pairs.

The pair of values that can not be the roots of a quadratic polynomial is 2 + 3i and 2 + 3i

Find out more on polynomials at: https://brainly.com/question/4142886

Answer:

39.54 is greater than 39.4

Step-by-step explanation:

Answer:

39.54 is LESS than 39.4

Answer:

I am read well any things please I don't know how to run this app please helpe I don't need this app by saying this much i want to stop my points

thanks