In a class of 26 students, 14 have a cat and 7 have a dog. There are 5

students who have a cat and a dog. What is the probability that a

student chosen randomly from the class does not have a dog?

The situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]

(|AB| denotes length of line segment AB, and so on for others).

For two triangles being congruent, we need at least:

Checking all the options:

Only one side and one angle are not enough.

Two equilateral triangles are not necessary to be congruent. Example, one equilateral triangle has sides of 3 units, and other triangle has sides of 5 units.

Two sides TR and RY and a non-included angle T is given. This doesn't satisfy SAS' condition. But since it is given that:

Angle T is right angled, so we now know that RY is going to be hypotenuse.

Using this fact, and the fact that |RY| = 5 cm, |TR| = 4 cm, and Pythagoras theorem, we can get |TY| = 3 cm.

Thus, it will complete SSS condition, and therefore, by SSS congruency, the triangles made in this case would be congruent.

All angles(corresponding) being equal implies similarity, but not congruence.

Thus, the situation in which triangles will be made congruent for sure is given by: Option ( iii ) Both making a triangle TRY with right angle at T and sides TR =4 cm and RY =5cm

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Answer:

B

Step-by-step explanation:

d) You have a difference of squares:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

#1

#2

#3

Answer:

Step-by-step explanation:

because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)

Answer:

12 and 5

Step-by-step explanation:

circumference= 37.68 km

the circle's radius.

[tex]r = \frac{c}{2\pi} [/tex]

[tex]r = \frac{37.68}{2\pi} [/tex]

[tex]r = 5.99696 \: km[/tex]

[tex]r =6 \: km[/tex]

Answer:

$25

Step-by-step explanation:

[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]

$25

PLEASE RATE AND MARK BRIANLIEST

The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.

Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.

In order to determine the time, multiply 3.1 miles by 8 minutes

3.1 x 8 = 24.8 =  24 minutes 48 seconds.

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Answer:

2m by 15m

Step-by-step explanation:

Form a system of equations where x is the length and y is the width.

Area: xy=30

Perimeter: 2x+2y=34

x=2, y=15 (solve by substitution)

The reduced form of Sin⁴(6x) in terms of the first power of Cosine is; 1 - 1/4(Cos (24x)).

It follows from the task content that;

Hence, from product identity;

Upon further use of the product identity;

On this note, it follows that use of the power reducing formula on the function sin⁴(6x) is;

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The minimum amount he needs to save each month in order to be able to pay for his first year of college is $375.

The first step is to determine the total amount he needs to save.

Amount he needs to save = $12,000 - $7500 = $4,500

The second step is to divide $4500 by 12.

4500 / 12 = $375

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Note that

For a pair (x,y)

Here x goes from

Hence domain

As There is open dot on -9 we used <

Answer:

Graph A

Step-by-step explanation:

The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.

Answer:

10 cases 4 units over

Step-by-step explanation:

Answer:

○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]

Explanation:

This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.

I am joyous to assist you at any time.

Answer:

10000+101010 = 111010

[tex] \orange{ \boxed{ \sf{111010}}}[/tex]

Answer:

10000+101010 = 111010

Step-by-step explanation:

10000+101010 = 111010

Answer:ur doomed dude I don’t know

Step-by-step explanation:

Answer is The measure of median angle is 0.700 radians.

The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.

A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.

The volume of a right triangular prism = ( height × Base Area)

A. The length of the tent to the nearest foot, from the front to the back

= 15 + 6 + 15+ 6

= 42 ft

B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:

The volume of a right triangular prism = ( height × Base Area)

height = √(36 - 9)

          = √27

The volume of a right triangular prism = √27 × 157.2

                                                                = 816.83

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Answer:

Step-by-step explanation:

Is that Ed genuity?! I used to use it. I had the same problem once!

Answer:

2 outfits and 7 ties left

Step-by-step explanation:

Answer: my guess is 18 or 4 because you can multiply 2*9 or divide 9/2 which gives you 4.5

You could round it but then it would just be 4 outfits and a half which wouldn’t make sense so it’s best if 4. I really hope if I helped because honestly I was confused too lol have a good day

Step-by-step explanation:

it'll be (2,3)

hope it helps...!!!

Answer: 37 degrees

Step-by-step explanation:

Vertical angles are congruent.

basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.

y=95x+32

x=95y+32

x-32=95y

(x/95)-(32/95)=y

Answer:

If you are meaning how many times can you subtract 8 from the answer with it still being a positive number, then 1. Otherwise 0

Step-by-step explanation:

Answer:

3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them

4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12

So in short: 3x + 12 +x is equivalent to 4(3+x)

Answer:

9.66667

Step-by-step explanation:

The average of all the data in a set.

Answer: [tex]9\frac{2}{3}[/tex]

Step-by-step explanation:

To find the mean we must add all of the numbers together and then divide them by the amount of numbers in the set

This set has 6 numbers

I will solve the addition step by step instead of all at once to make it easier to understand

[tex]\frac{10+13+11+10+5+9}{6} \\\\\frac{23+21+14}{6} \\\\\frac{44+14}{6} \\\\\frac{58}{6} \\\\9\frac{2}{3}[/tex]

Answer:

Yes

Step-by-step explanation:

What is 15 percent of 45? = 6.75.