Suppose that you have 8 green cards and 5 yellow cards. The cards are well shuffled. You randomly draw two cards without replacement.

Answer:

[A] The corresponding sides of the triangles are congruent.

[B] The corresponding angles of the triangles are congruent.

[C] The triangles have the same size.

[D]  The triangles have the same shape.

Step-by-step explanation:

SAS which it is stands for {side, angle, side} and the meaning of SAS is that we have two triangles where we see two sides and the included angle are equal.

In Order for two triangles to be congruent must have the following below:

Hence, base on the given all the following are correct:

A. The corresponding sides of the triangles are congruent. √

B. The corresponding angles of the triangles are congruent. √

C. The triangles have the same size. √

D. The triangles have the same shape. √

Kavinsky

Answer:

A

Step-by-step explanation:

b/c the sides are corresponding and corresponding angles are always equal

Answer:

The correct answer should be 8.5 (I think) : )

Answer:140

Step-by-step explanation:

Answer:

B) sqrt(50)

Step-by-step explanation:

c=sqrt((sqrt(10)^2+sqrt(40)^2)=sqrt(10+40)=sqrt(50)

Answer:

acute

Step-by-step explanation:

it is an acute triangle

The number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

Percentage decrease is the amount deducted or reduced from the initial value in the percentage part.

In the year 2017, an estimated 4,347,000 people in this country are illiterate. With new incentives and funding, The country is hoping to cut that number by 14% every year.

Total year from 2017 to 2025 are 8 years. Thus, use the following formula of compound interest to find percentage decrease:

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final population, The initial population is P, the rate is r and the time period is t. Put the values,

[tex]A=4347000\times\left(1-\dfrac{14}{100}\right)^{8}\\A\approx1300700[/tex]

Thus, the number of people of the country which is predicted will be illiterate in the year 2025 are 1,300,700.

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Answer:

Below in bold.

Step-by-step explanation:

This is a regular polygon so all sides are congruent, therefore:

The perimeter of the polygon = 6*34 = 204 units.

We can divide the polygon into 6 conguent triangle with height 30 and base 34.

So area of 1 triangle = 1/2*34*30 = 510.

So area of the polygon = 6 * 510 = 3060 unit^2.

Perimeter of the polygon = 6*34 = 204 units.

Answer:

500

Step-by-step explanation:

Hello!

Let the smallest number be x. The next number would be x + 1, then the next would be x + 2, then x + 3.

The sum of these four is 1998.

Solve for x:

The third number is (x + 2), so simply add 2 to 498 = 500

The third number is 500.

All 4 numbers are 498, 499, 500, and 501.

Answer:

√2685 is your answer

hope this will help you

Answer:

square millimeters

Step-by-step explanation:

The surface area will always have answer in

square millimeters / meters / centimeters, etc.

If you're talking about 6-digit numbers in base 10 (so there digits are one of the numbers 0-9), such a number can be made up of either

• two 1s and four 0s, or

• one 2 and five 0s

and the leading digit must be non-zero.

If such a number starts with 1, then there are 5 slots which can contain the other 1. So there are 5 numbers in this group.

If such a number starts with 2, the rest are 0s. So there is 1 number in this group.

Then there are only 6 numbers with 6 digits whose digital sum is 2.

110000

101000

100100

100010

100001

200000

Step-by-step explanation:

The area of the floor of the scale drawing and the scale factor are 72 in² and 1/4 respectively

Actual Length = 36 feets

Actual width = 32 feets

Model width = 9 inches

The scale factor = 9 / 36 = 1/4

The length of the model canbe calculated thus :

Actual Length × scale factor

Model width = 32 × 1/4 = 8 inches

The Area of a rectangle can be calculated using the relation :

Area = Length × width

Area of floor = 8 inches × 9 inches = 72 inch²

Therefore, the area of the floor of the scale drawing is 72 in²

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The area of the rectangular floor in the scale drawing is A = 156 inches²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangular floor in the scale drawing be A

Let the length of the rectangular floor be L = 26 feet

Now , the length of the rectangular floor in scale drawing = 13 inches = L/2

And , the width of the rectangular floor be W = 24 feet

So , the width of the rectangular floor in scale drawing = W/2 = 12 inches

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

The area of the rectangular floor in the scale drawing A = 13 x 12

The area of the rectangular floor in the scale drawing A = 156 inches²

Hence , the area of rectangle is 156 inches²

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Answer:

13.82 in.

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter by pi ([tex]\pi[/tex]):

[tex](4.4)(\pi )=13.82301[/tex]

Rounded to the nearest tenth, 13.82301 is 13.82. Therefore, 13.82 is the answer.

I hope this helps!

Answer:

$584.41

Step-by-step explanation:

From this information, we can write the following equation:

[tex]P = 500(e)^{0.039t[/tex] where t is the number of years.

To find out the amount after 4 years, we can simply plug in 4 for t:

[tex]P = 500(e)^{0.039(4))\\[/tex]

≈ $584.41

Answer:

$584.41

Step-by-step explanation:

From this information, we can write the following equation:

where t is the number of years.

To find out the amount after 4 years, we can simply plug in 4 for t:

≈ $584.41

Answer:

2.05 · 10^-1

Step-by-step explanation:

(5·10^-3)+(2·10^-1) = 2.05 × 10^-1

Answer:

see below

Step-by-step explanation:

6 -2x + 5 +4x

Combine like terms

6 +5  -2x+4x

The 6 and 5 do not have x  only the -2 and -4 have x with them

6+5  +x(4-2)

11 +2x

Answer:

-sin Ф

Step-by-step explanation:

sin( O + 180) = sinФ cos180 + sin180 cosФ

                     =  sin Ф * -1 + 0 * cos Ф

                     =   -sin Ф

So

Answer:

1300 pens

Explanation:

Set up equations where p is pencil, q is pens

Equation's:

1st equation: 0.05p + 0.25q = 400

2nd equation: p = 1500

Insert equation 2 into 1:

0.05(1500) + 0.25q = 400

75 + 0.25q = 400

0.25q = 325

q = 325/0.25

q = 1300

I'm pretty sure the answer is 232cm

11x8=88

88÷2=44

44x4=176

8x7= 56

176+56=232

Correct me if I'm wrong :)

Answer:

Surface area =

160 sq cm

Step-by-step explanation:

To find surface area, you find the area of all the faces and add them together. There are 4 faces (flat surfaces) The base is a triangle and the 3 sides are also triangles. The area of a triangle is:

A = 1/2 b•h

For the base,

A = 1/2•8•7

A = 28 sq cm

For the sides, we can do one calculation and times by 3 because they are all the same.

A = 1/2•8•11

= 44 sq cm

One face is 44, 3×44 is 132 for all three faces.

Surface area =

28 + 132

= 160 sq cm

Answer:

D

Step-by-step explanation:

Remark

The two legs when each of them is squared = 136 by

6^2 + 10^2 = 36 + 100 = 136

The hypotenuse is 12

12^2 = 144

The answer is that it is not a right angle triangle having 2 legs and a hypotenuse. That is because both sides are not equal.

Answer:

Step-by-step explanation:

Answer:

a) 55 b)=21/32 c)x=6

Step-by-step explanation:

a)Follow the PEMDAS order of operations

Calculate within parentheses

(6 +3 x 2)

(6+6)

= 12

=51+ 12 ÷ 3

Multiply and divide (left to right)

12÷ 3=4

51 +4

Add and subtract (left to right)

51 + 4=55

B)

Follow the PEMDAS order of operations

29 – 8) ÷ 32

Calculate within parentheses

(29 – 8) =21

= 21 ÷32

Multiply and divide (left to right)

21 ÷32

=21/1× 1/32

=21/32

C)let the unknown be X

6+ 5× X- 16 = 20

Group like terms

5x +6- 16 = 20

Add/Subtract the numbers:

6- 16 = -10

5x - 10= 20

Add 10 to both sides

5x- 10 + 10 =20 + 10

Simplify

5x=30

Divide both sides by 5

5x/5=30/5

x=6

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{51 + ( 6 + 3 \times 2 ) \div 3}\\\\\mathsf{= 51 + \dfrac{6+ 3\times2}{3}}\\\\\mathsf{= 51 + \dfrac{6 + 6}{3}}\\\\\mathsf{= 51 + \dfrac{12}{3}}\\\\\mathsf{= 51 + 4}\\\\\mathsf{= 55}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{55}}}\huge\checkmark[/tex]

[tex]\mathsf{(29 - 8) \div 32}\\\\\mathsf{= \dfrac{29 - 8}{32}}\\\\\mathsf{= \dfrac{29 - 8}{32 - 0}}\\\\\mathsf{= \dfrac{21}{32}}\\\\\mathsf{= 21\div 32}\\\\\mathsf{= 0.65625}\\\\\huge\text{Therefore, the answer is: \boxed{\mathsf{0.65625}}}\huge\checkmark[/tex]

[tex]\mathsf{6 + 5 \times p - 16 = 20}\\\mathsf{\rightarrow 6 + 5p - 16 = 20}\\\mathsf{\rightarrow 5p - 10 = 20}\\\text{ADD 10 to BOTH SIDES}\\\mathsf{5p - 10 + 10 = 20 + 10}\\\text{SIMPLIFY IT!}\\\mathsf{5p = 20 + 10}\\\mathsf{5p = 30}\\\text{DIVIDE 5 to BOTH SIDES}\\\mathsf{\dfrac{5p}{5}= \dfrac{30}{5}}\\\text{SIMPLIFY IT!}\\\mathsf{p = \dfrac{30}{5}}\\\mathsf{p = 6}\\\\\huge\text{Therefore, the answer is: \boxed{{\mathsf{6}}}}\huge\checkmark[/tex]

[tex]\large\textsf{Lets check to make sure \#3 is correct!}\\\mathsf{6 + 5\times \bold{6} - 16}\\\mathsf{= 6 + 30 - 16}\\\mathsf{= 36 - 16}\\\mathsf{= 20}\\\\\huge\textsf{Thus, the answer in the blank IS: \boxed{\mathsf{6}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

If [tex]\displaystyle\mathsf{\overline{WS}}[/tex] ║ [tex]\displaystyle\mathsf{\overline{KV}}[/tex], and [tex]\displaystyle\mathsf{\overline{KV}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{RT}}[/tex], then  [tex]\displaystyle\mathsf{\overline{RT}}[/tex] ⊥ [tex]\displaystyle\mathsf{\overline{WS}}[/tex]

Step-by-step explanation:

We are given the diagram of parallel lines, [tex]\displaystyle\mathsf{\overline{WS}}[/tex] and [tex]\displaystyle\mathsf{\overline{KV}}[/tex], which are intersected by line [tex]\displaystyle\mathsf{\overline{KV}}[/tex]. The prompt requires us to determine the relationship between [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{RS}}[/tex].

Parallel lines are non-intersecting lines that are coplanar and have the same slope.  

Perpendicular lines: the intersection between two lines that form right angles. Perpendicular lines also have negative reciprocal slopes.    

Transversal : a line that intersects at least two distinct coplanar lines in at least two or more definite points.  

We will use the given diagram and the following theorems/postulates to prove the relationship between lines [tex]\displaystyle\mathsf{\overline{RT}}[/tex] and [tex]\displaystyle\mathsf{\overline{WS}}[/tex].

Now that we have established the necessary postulates and theorem, we can state that:  

Keywords:

Parallel Lines

Perpendicular lines

Perpendicular Transversal Theorem

____________________________

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Answer:

23.88 cm squared

Step-by-step explanation:

3.6 x 5.9 = 21.24

1.1 x 4.8 x 1/2 = 2.64

21.24 + 2.64 = 23.88

The sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.

Random sample is the way to choose a number or sample in such a manner that each of the sample of the group has an equal probability to be chosen.

Sample is the particular group which is gathered from a data. A professor teaches four types of science classes.  Professor wants to try out a new style of exam, thus, during finals,

The gives the new exam to 15 randomly selected students in each class and remaining other students take the regular exam. Thus, the sample is 15.

Hence, the sample in this situation where professor wants to try out a new style of exam, thus, during finals, is 15.

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Answer:

Tom's class had the lower score

Step-by-step explanation:

Because the range is larger for Tom's class than it is for Brad's class, it is rather likely that students in Tom's class did not do as well on the test than students in Brad's class did.

The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25

An equation is an expression that shows the relationship between two or more variables and numbers.

The circle contains the point (–5, -3) and has a center at (-2, 1), hence:

[tex]radius=\sqrt{(1-(-3))^2+(-2-(-5))^2}=5\ units[/tex]

The equation is:

(x - (-2))² + (y - 1)² = 5²

(x + 2)² + (y - 1)² = 25

The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25

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The function that has a range limited to only negative numbers is Square Root.

The function of this kind is known to be a kind of radical function that is said to have even index e.g. a square root.  and thus, this radicand  is one that can have a negative value for some or for the  values of x.

Note therefore, that The function that has a range limited to only negative numbers is Square Root and thus it is correct.

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Answer:

A or the first Graph

Step-by-step explanation:

My attachment proves this answer is true

Answer:

Step-by-step explanation:

The bottom of the spinner is not flat.