Which of the following is another name for an indirect proof
A. Direct proof
B. Inverse proof
C. Converse proof
D. Proof by contradiction

Answer:

The sides are 3 and 9

Step-by-step explanation:

Since this is a right triangle, we can use the pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

x^2 + (3x)^2 = (3 sqrt(10))^2

x^2 + 9x^2 = 9*10

10x^2 = 90

Divide each side by 10

x^2 = 90/10

x^2 =9

Take the square root of each side

x = sqrt(9)

x = 3

The sides are x=3  and 3x = 3(3) = 9

Answer: x=10

Step-by-step explanation:

Since the original statements were x, 3x, and 3[tex]\sqrt{x}[/tex], is already given as 10 in 3[tex]\sqrt{x}[/tex], therefore, 3x is 3*10 and x is 10

Answer:

[tex]15 × 10^{0}[/tex]

Step-by-step explanation:

5 × 10^-7 × 3 × 10^6

15 × 10^-1

= 1.5 × 10^0

Answer:

15 × 10^{-1} is the correct

Step-by-step explanation:

Answer:

7.2 / 2.4 = 3 half-lives

(1/2)3 = 0.125 (the amount remaining after 3 half-lives)

100.0 g x 0.125 = 12.5 g remaining

Hope this Helped! :)

Answer:

x=9/5

Step-by-step explanation:

2*2-5x+5=0

4-5x+5=0

9=5x

x=9/5

Answer:

11.56m²

Step-by-step explanation:

3.4×3.4=11.56m²

Answer:

11.56

Step-by-step explanation:

Answer:

Step-by-step explanation:

Area = 28 Sq.ft

length * width = 28

2 * n = 28

Divide both sides by 2

2n/2 = 28/2

n = 14 ft

I tend to think of parallel lines as train tracks (the metal rail part anyway). Inside the train tracks is the interior region, while outside the train tracks is the exterior region. Alternate exterior angles are found here. Specifically they are angles that are on opposite or alternate sides of the transversal cut.

Both pairs of alternate exterior angles are shown in the diagram below. They are color coded to help show how they pair up and which are congruent.

A thing to notice: choices B, C, and D all have point W as the vertex of the angles. This means that the angles somehow touch or are adjacent in some way due to this shared vertex point. However, alternate exterior angles never touch because parallel lines never do so either. We can rule out choices B,C,D from this reasoning alone. We cannot have both alternate exterior angles on the same exterior side of the train tracks. Both sides must be accounted for.

Answer:

option ;

Step-by-step explanation:

Your answer here will be

;

.03 is the answer. hope it help!:-)

Answer:

0.02623 rounds to 0.03

Step-by-step explanation:

ones. tenths hundredths thousands

we look at the thousandths place when rounding to the hundredths

the thousands place is 6 (which is 5 or greater) so we will round the hundreds place up 1

0.02623 rounds to 0.03

Answer: B 6400 m

Step-by-step explanation:

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

Step-by-step explanation:

[tex]-2\frac{1}{3}-(-5)=[/tex]

Convert the mixed number to improper fraction. You can do this by multiplying the whole number times the denominator and adding the numerator; over the same denominator.

[tex]-\frac{2*3+1}{3} -(-5)=[/tex]

Solve;

[tex]-\frac{6+1}{3} -(-5)=[/tex]

[tex]-\frac{7}{3} -(-5)=[/tex]

Now, get rid of the two negatives by multiplying.

[tex]-\frac{7}{3} +5=[/tex]

Remember 5 has a 1 below; therefore, we can subtract these two fractions by getting both to a same denominator. Let's rewrite 5 as a fraction.

[tex]-\frac{7}{3}+\frac{5}{1} =[/tex]

To be able to convert 1 to 3, we have to multiply by 3. Remember that if you change the denominator, you have to change the numerator as well.

[tex]-\frac{7}{3}+\frac{5}{1} (\frac{3}{3} ) =[/tex]

Solve;

[tex]-\frac{7}{3}+\frac{15}{3} =[/tex]

Subtract numerators and keep the same denominator.

[tex]\frac{-7+15}{3}=\frac{8}{3}[/tex]

Convert to a mixed number. To do this, first, divide:

8/3=2

6

----

2

The 2 after the equal sign is the whole number, the two in the remainder is the numerator and the 3 is the denominator. Leaving our result as: [tex]2\frac{2}{3}[/tex]

Answer:

5 to 1.

Step-by-step explanation:

There are 5 unshaded and one shaded section so it's

5:1.

The ratio of unshaded sections to shaded sections is;

Option D; 5 to 1

We are told that the diagram is divided into equal parts.

Now, from the given, we can see that there are 6 equal parts. However, out of the 6 equal sections, only one section is shaded while 5 sections are unshaded.

This means that the ratio of unshaded sections to shaded sections is; 5 to 1.

In conclusion, the ratio of unshaded sections to shaded sections from the given diagram that was divided into equal parts is; 5 to 1.

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Answer:

When in doubt, pick C

Step-by-step explanation:

I don't know what you're asking

Answer:

Y=17

X=17√2

Step-by-step explanation:

1) This triangle is a right isosceles triangle. You know this because it is marked in that way.

2) In an isosceles triangle, the legs are congruent. That means, if one leg is x, then the other leg will also be x.

- In this case, (y) will be 17 because the other leg is also 17.

3) According to pythagorean theorem, a^2 + b^2 = c^2. The hypotenuse is directly across the 90º angle. So, in this case, knowing that both legs are 17,

you can write  17^2 + 17^2 = c^2

(c = x) because i'm just substituting the values.

So now, solve it. You will get

289 + 289 = c^2

c^2 = 578

now just square root 578.

(remember c = x)

You get that x = √578 = 17√2

Answer:b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

59%

Step-by-step explanation:

No. of squares in a whole = 10*10=100

No. of spaces shaded = 59

No. of spaces not shaded = 41

Hence, percent represented by the shaded area = 59%

Answer:

-5

Step-by-step explanation:

make the decimals have the same bottom by mutiplying by 3 in the top and the bottom. and not adding the bottms to make 12 instead stay at 6. Add. then you can easliy divide from there. using the keep change flip.

Answer:

-5

Step-by-step explanation:

make the decimals have the same bottom by multiplying by 3 in the top and the bottom. and not adding the bottoms to make 12 instead stay at 6. Add. then you can easily divide from there. using the keep change flip.

Answer:

First box plot

Step-by-step explanation:

In the figure attached, the options are shown.

The left end of the box is the lower quartile (also called quartile 1 or Q1)

The right end of the box is the upper quartile (also called quartile 3 or Q3)}

The interquartile range (IQR) is computed as follows:

IQR = Q3 - Q1

If Q1 = 3 and IQR = 5, then Q3 = 5 + 3 = 8

The first box plot is the only one with a lower quartile of 3 and an interquartile range of 5

The box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

Interquartile range (IQR) of a data set is the distance between the lower quartile (Q1) and the upper quartile (Q3) on a box plot.

Thus, a box plot that has a lower quartile of 3 and interquartile range of 5 will have a distance of 5 from the lower quartile to the upper quartile.

Therefore, the box plot that could represent a data set that has an interquartile range of 5 is the box plot shown in the image attached below (see attachment).

Learn more about interquartile range on:

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Answer:

Number 2 is 5 5/8

Step-by-step explanation:

3 1/2 times 3 3/4 is 45/8 45/8 = 5 5/8 times 1 = the same

Answer:

x = 14

Step-by-step explanation:

146° = 9x + 20°

146° - 20° = 9x

126° = 9x

x = 126°/9

x = 14

Answer:12-J 3.169 meters

13-B $11.46

Answer:

12-J 3.169 meters

13-B $11.46

Step-by-step explanation:

Answer:

8.1(?)

Step-by-step explanation:

Just do 3.5+4.6 to get 8.1, but if you do multiplication then it'll be 16.1. I'm not sure if this is accurate, though.

Answer:

Mark was 8.1 miles away from his home.

Step-by-step explanation:

3.5 + 4.6 = 8.1

Correct question:

Evaluate the expression below for x = 2, y = –3, and z = –1.

Given: [tex] x^2 z^2 -y^2(x+z) [/tex]

Options:

A.–23

B.–5

C.13

D.27

Answer:

B. -5

Step-by-step explanation:

In this question we are given the following values:

x = 2

y = -3

z = -1

Given the expression:

[tex] x^2 z^2 -y^2(x+z) [/tex]

To evaluate, let's substitute for 2, -3 & - 1 for x, y & z respectively

Therefore,

[tex] x^2 z^2 -y^2(x+z) [/tex]

Substituting values, we have:

[tex] (2^2) (-1^2) - (-3^2)(2+(-1)) [/tex]

Simplifying, we have:

[tex] [(2^2) (-1^2)] - [(-3^2)(2-1)] [/tex]

[tex]= [(4) (1)] - [(9)(1)] [/tex]

[tex]= 4 - 9[/tex]

= -5

The correct answer is option B

Answer:

x=28

Step-by-step explanation:

[tex]\frac{1}{3} x=9\frac{1}{3} \\\frac{1}{3} x=\frac{28}{3} \\x=28[/tex]

The value of x is 28.

A mixed fraction represented with its quotient and remainder is a mixed fraction.

To convert a mixed fraction into improper fraction first we multiply the denominator of the proper fraction to the whole number attach with it then we add the numerator.

According to the question:

we have

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

for finding the value of x

[tex]\frac{1}{3}x =9\frac{1}{3}[/tex]

⇒[tex]\frac{1}{3}x=\frac{28}{3}[/tex]

⇒[tex]\frac{3}{3} x= 3[/tex]×[tex]\frac{28}{3}[/tex]                      (multiply both the sides by 3)

⇒ [tex]x= 28[/tex]

The value of x is 28.

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Answer:

b = 16

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2 + b^2 = 20^2

144+b^2 = 400

Subtract 144 from each side

b^2 = 400-144

b^2 = 256

Take the square root of each side

sqrt(b^2) = sqrt(256)

b = 16

Step-by-step explanation:

Reflection mean bouncing light of a shining surface.

Answer:

i think the answer should be 60 ft long bc that would leave 10ft on each side of the banner

Step-by-step explanation:

hope this helps