Explore forming triangles with different

combinations of side lengths.

✓ 1. Try to form a triangle by dragging

points A and D. Is it possible to form a

triangle with side lengths 1, 5, and 3

units? no

2. Is it possible to form a triangle with

side lengths 3, 4, and 5 units?

AB = 3 units

BC = 4 units

CD = 5 units

UUT

Answer:

a) x = 5

b) x = 4

Step-by-step explanation:

a) x:2 = 10:4

Product of extremes = Product of means

=> x*4 = 10*2

=> 4x = 20

Dividing both sides by 4

=> x = 5

b) 3:x = 6:8

Product of extremes = Product of Means

=> 3*8 = 6*x

=> 24 = 6x

Dividing both sides by 6

=> x = 4

Answer:

Solution,

[tex]a. \: \: \frac{x}{2} = \frac{10}{4} \\ \: \: or \: x \times 4 = 10 \times 2 \: ( \: cross \: multiplication) \\ \: \: or \: 4x = 20 \\ or \:x = \frac{20}{4} \\ \: \: \: x = 5[/tex]

[tex]b. \: \frac{3}{x} = \frac{6}{8} \\ or \: 6 \times x = 3 \times 8 \: ( \: cross \: multiplication) \\ or \: 6x = 24 \\ \: or \: x = \frac{24}{6} \\ x = 4[/tex]

Hope this helps...

Good luck on your assignment

Answer:

1:00 PM

Step-by-step explanation:

According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.

at 1:00 PM, its 5 minutes (odd),  clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.

Set up a ratio:

12/x = 16/20

Cross multiply:

16x = 240

Divide both sides by 16:

X = 15

Answer:

Step-by-step explanation:

Slide 1:

A) (x+2)(x+8)

B) (x+3)(x+4)

C) (x+1)(x+12)

Slide 2:

A) (x-1)(x+4)

B) (x+1)(x-3)

C) (x-2)(x+4)

Hope this helps!

Answer:

20:27

Step-by-step explanation:

Answer:

10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.

To roll a 2, 3, and 5 in order, which are independent events,

the required probability will be

= 1/6 x 1/6 x 1/6

= 1/216

11. Using Pythagoras theorem,

8² + B² = 15²

B =√161

=12.689

13. Area of trapezoid= (upper base+ lower base)(height)/2

= (16+23)(3)/2

= 58.5 m²

Answer:

Answers:

Question #10:

Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: [tex]\frac{1}{16}[/tex].

Question #11:

Since the triangle is a right triangle we can use the pythagorean theorem:

[tex]B^{2}[/tex] + [tex]8^{2}[/tex] = [tex]15^{2}[/tex]

Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or [tex]\sqrt{161}[/tex].

Question #12:

First we can start with finding the area of the rectangle in the trapezoid:

3 · 16 = 48

Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:

3 · 5 = 15

[tex]\frac{15}{2}[/tex] = 7.5

7.5 + 48 = 55.5

Answer:

David is 12 years old.

Step-by-step explanation:

Let r = Rebecca's age

Let d = David's age

let p = Dad's age

David is 3 times as younger than his dad:

d = [tex]\frac{p}{3}[/tex]

David is 2 times older than Rebecca:

d = 2r

Rebecca is 30 years younger than the dad:

r = p-30

All three equations can be solved by a system

2r = [tex]\frac{p}{3}[/tex]

r = p-30

multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]

0 = (-2p + p/3) + 60

multiplying new equation by 3

0 = (-6p + p) + 180

5p = 180

p = 36

d = 36/3 = 12

Answer:

61

Step-by-step explanation:

Definition of conguency

*figure on the right is rotated a bit

Answer:

   -4AB+2A2+52

Step-by-step explanation:

1. FIRST WE PUT THE LIKE TERMS TOGETHER (REARRANGE THE PROBLEM)

AB-5AB-A2+3A2+42+10

2. SIMPLIFY ALL LIKE TERMS

-4AB+2A2+52

YOUR DONE!!!!!!

HOPE I HELPED

CAN I GET BRAINLIEST PLS? (DESPERATELY TRYING TO LEVEL UP)

         -ZYLYNN JADE

Answer:

x=35

Step-by-step explanation:

2x-10+2x+50=180 degrees

4x-10+50=180

4x+40=180

4x=140 x=35

Answer:

38

Step-by-step explanation:

Using the five number summary it is 38 since it is 75 percent of the sample

You have the correct answer. Nice work

==========================================================

Explanation:

If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.

That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.

Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.

The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)

Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.

Therefore, the third quartile is 38.

Answer:

Step-by-step explanation:

2/3(6y + 9)

2/3(6y) = 4y

2/3(9) = 6

=4y + 6 (A)

Answer:

C

Step-by-step explanation:

The only like terms are 6 and -5. 6 - (-5) = 11 so the answer is 4x² - 2x + 11.

Answer:

C. 4x² -2x + 11

Step-by-step explanation:

(4x² + 6) - (2x - 5)

→ Remember the minus outside the (2x - 5) means the minus inside changes to a plus

(4x² + 6) - (2x + 5)

→ Remove the brackets

4x² + 6 - 2x + 5

→ Add the whole numbers together

4x² + 11 - 2x which is equivalent to the option c 4x² -2x + 11

Answer:

4^2

Step-by-step explanation:

4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!

Answer:

the answer is

Step-by-step explanation:

4 to the power of 2

you add 4 and 3 which is 7

and 7 subtract 5 which is

4 to the power of 2

Answer:

[tex]\boxed{26 pupils}[/tex]

Step-by-step explanation:

Girls for English:

20 + English + 12 = 36

English + 32 = 36

English = 36-32

English = 4 (For girls)

Total for Science:

12+7 = 19

Total for English:

25 + English + 19 = 70

English + 44 = 70

English = 70-44

English = 26 pupils

There are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

The table shows data about the favorite subject of some of the students.

The following things can be observed from the given table:

So, the total number of students of English subject can be calculated as,

[tex]70-25-19=70-44\\=26[/tex]

So, out of 26 students, 6 are girls and 20 will be boys who love English subject.

Therefore, there are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.

For more details, refer to the link:

https://brainly.com/question/21976671

Answer:

[tex] m\angle A = 72\degree \\

m\angle B = 108\degree [/tex]

Step-by-step explanation:

ABCD is a parallelogram.

Since, opposite angles of a parallelogram are congruent.

[tex] \therefore m\angle A = m\angle C\\

\therefore (5y-3)\degree = (3y+27)\degree \\

\therefore 5y - 3= 3y +27\\

\therefore 5y-3y = 27+3\\

\therefore 2y = 30\\\\

\therefore y = \frac{30}{2} \\\\

\therefore y = 15\\

\because m\angle A = (5y-3)\degree \\

\therefore m\angle A = (5\times 15-3)\degree \\

\therefore m\angle A = (75-3)\degree \\

\huge{\red {\boxed {\therefore m\angle A = 72\degree}}} \\\\

\because m\angle A + m\angle B = 180\degree(opposite \: \angle 's\: of\:a\: \parallel ^{gm}) \\

\therefore m\angle B = 180\degree - 72\degree \\

\huge{\purple {\boxed {\therefore m\angle B = 108\degree}}} [/tex]

Answer:

She wrote a 4 instead of a 3.

There are only 3 numbers that are greater than 7. They are 8, 9, and 10. Mariah must have include 7 in her list. That is how she got 4 instead of 3.

Answer:

Mariah used 4 rather than 3.

Step-by-step explanation:

took a test with this question on it

Answer:

sss

Step-by-step explanation:

as you seen your puestion it says they are similar by side if you ask me by what because your given is side

Answer:

The values of x are:

x : -3, -2, -1, 0, 1, 2, 3

Let's solve each by putting each value of x into each equation:

a [tex]y = 2^x[/tex]

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. [tex]y = -2^x[/tex]

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. [tex]y = (3)(2^x)[/tex]

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Input these values into the table.

Answer:

a y = 2^x

> x = -3

=> y = 2^(-3) = 1/8

> x = -2

=> y = 2^(-2) = 1/4

> x = -1

=> y = 2^(-1) = 1/2

> x = 0

=> y = 2^0 = 1

> x = 1

=> y = 2^1 = 2

> x = 2

=> y = 2^2 = 4

> x = 3

=> y = 2^3 = 8

b. y = -2^x

> x = -3

=> y = -2^(-3) = -1/8

> x = -2

=> y = -2^(-2) = -1/4

> x = -1

=> y = -2^(-1) = -1/2

> x = 0

=> y = -2^0 = -1

> x = 1

=> y = -2^1 = -2

> x = 2

=> y = -2^2 = -4

> x = 3

=> y = -2^3 = -8

c. y = (3)(2^x)

> x = -3

=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8

> x = -2

=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4

> x = -1

=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2

> x = 0

=> y = 3 * 2^0 = 3 * 1 = 3

> x = 1

=> y = 3 * 2^1 = 3 * 2 = 6

> x = 2

=> y = 3 * 2^2 = 3 * 4 = 12

> x = 3

=> y = 3 * 2^3 = 3 * 8 = 24

Step-by-step explanation:

Answer:

Using the given information, the measurement of ∠P is 41° and the measurement of ∠Q is 49°

Step-by-step explanation:

Complementary angles are angles that have a sum measurement of 90°. So, the measurement of ∠P and the measurement of ∠Q will have a sum of 90° because they are complementary angles.

So, let's set up an equation where we add the two measurements and equal them to 90.

(8x + 1) + (9x + 4) = 90

Combine like terms.

17x + 5 = 90

Subtract 5 from both sides of the equation.

17x = 85

Divide 17 from both sides of the equation.

x = 5

Now that we have the value of x, let's plug in this value for each angle to find their measurement.

m∠P = 8(5) + 1 = 40 + 1 = 41

m∠Q = 9(5) + 4 = 45 + 4 = 49

So, the measurement of ∠P is 41° and the measurement of ∠Q is 49°

The value of ∠P=41° and ∠Q= 49°.

Given to us:

∠P = 8x + 1,

∠Q = 9x + 4,

Complementary angles are the angles whose measures sums to 90°.

As given in the question ∠P and ∠Q are complementary angles, therefore we can write it as;

[tex]\angle P + \angle Q = 90^o[/tex]

Putting the value of ∠P and ∠Q,

[tex](8x + 1) + (9x + 4) = 90\\17x + 5 = 90\\17x = 90 - 5\\\\x = \dfrac{85}{17}\\\\x= 5[/tex]

Now using the value of x, solve ∠P and ∠Q; For ∠P

[tex]\angle P= 8x+1\\[/tex]

Putting the value of x,

[tex]\angle P= 8x+1\\\angle P= (8\times 5 )x+1\\\angle P= 40+1\\\angle P= 41[/tex]

For ∠Q,

[tex]\angle P= 9x+4\\[/tex]

Putting the value of x,

[tex]\angle Q= 9x+4\\\angle Q= (9\times 5 )x+4\\\angle Q= 45+4\\\angle Q= 49[/tex]

Hence, the value of ∠P and ∠Q are 41° and 49° respectively.

To know more visit:

https://brainly.com/question/2882938

Answer:

12 [tex]units^{2}[/tex]

Step-by-step explanation:

First Figure: 1/2*2*2 = 2

Second Figure: 2*2 = 4

Third Figure: 1/2*6*2 = 6

2+4+6 = 12

So the area is 12 [tex]units^{2}[/tex]

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = [tex]\sqrt{33}[/tex] .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = [tex]\sqrt{44}[/tex] .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

[tex]\sqrt{(44)}^2[/tex] = [tex]x^2[/tex] + [tex]\sqrt{33}^2[/tex],

x = [tex]\sqrt{11}[/tex] ... And [tex]\sqrt{11}[/tex] squared is 11, making the area of this square 11 units².

Answer:

Step-by-step explanation:

If the triangle is right then area of square adjacent to the longest side is equal to sum of areas of squares adjacent to its other sides. (As in Pythagorean theorem)

So:

    33 units² + ? =  44 units²

     ? =  44 units² - 33 units²

     ? = 11 units²

Answer: 30 baskets.

Step-by-step explanation:

You need to find the Greatest Common Factor (GCF).

240 (apples) = 2 x 2 x 2 x 2 x 3 x 5

150 (pears) = 2 x 3 x 5 x 5

GCF (240, 150) = 2 x 3 x 5

                         = 30

You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.

Answer:

30 baskets

Step-by-step explanation:

Answer:

20 more books

Step-by-step explanation:

£204 - £35.50 = £168.50

168.50/8.25 = 20.42

We obviously can't buy 0.42 of a book, so you round down and get 20 books

Answer:

angle 3 and angle 4 are equal because the diagonals/2 are equal. Angle 4 equals angle 1 due to opposite interior angles thereom. 90 degrees minus 37=53 degrees which is angle 2. Since angle 2 is equal to the angle GKH, 53+53=106 and 180-106=74 degrees, and due to vertical angles, angle 7 is 74 degrees.

Answer:

17. D

11. 147 deg

Last problem: 2nd answer

Step-by-step explanation:

17. D

All parallelograms have 4 sides, so all parallelograms are quadrilaterals.

11.

m<B = m<D = 33

m<A + m<B + m<C + m<D = 360

m<A + 33 + m<C + 33 = 360

m<A + m<C = 294

m<A = m<C = (1/2) * 294

m<C = 147

Last problem:

If in a quadrilateral, a pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram. In the second choice, the same pair of sides is parallel and congruent, so this is the answer.

Answer:

Both/Neither.

Step-by-step explanation:

For the circle, the area is π(6)^2= 36π. 3/4 of that is 27π. Now, for the ring, area of outer circle is 36π. The area of inner circle is 9π. So, area of ring is 27π. That means, both will take the same amount of paint.

Answer:

Step-by-step explanation:

given,

initial count of bacteria(P)=4,80,000 ,

increasing rate of bacteria(R)=2.5%,

time(T)= 2 hours

amount(A)=p(1+R/100)^T

A=480000(1+2.5/100)^2

A=480000*(1681/1600)

A=504300

therefore, the bacteria at the end of 2 hours is 504300(approx)

Answer:

itchkirdcbn

Step-by-step explanation:

86rfbbcgui6g....

Answer:

Solution,

Area of rectangle= 524.4 m^2

Length(L)= 6.9 m

Breadth(B)=?

Now,

[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]

Again,

Perimeter of rectangle:

[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]

Hope this helps...

Good luck on your assignment.....

Answer:

The perimeter of the rectangle is 165.8cm

Step-by-step explanation:

Area of a rectangle = length × width

Area = 524.4m²

length = 6.9m

524.4 = 6.9 × width

width = 524.4 / 6.9

width = 76m

Perimeter of a rectangle =

2(length ) + 2(width)

length = 6.9m

width = 76m

Perimeter = 2( 6.9) + 2(76)

= 13.8 + 152

The final answer is

= 165.8cm

Hope this helps you

Answer:

Step-by-step explanation:

Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 1

σ = √variance = √0.01 = 0.1

the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as

P(1 ≤ x ≤ 1.1)

For x = 1,

z = (1 - 1)/0.1 = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

For x = 1.1

z = (1.1 - 1)/0.1 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

Therefore,

P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34

The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34