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Which of the following is a true proportion of the figure based on the triangle proportionality theorem?

Answer:

Rounded to the nearest tenth, 7.4 feet long.

Step-by-step explanation:

Tyrone has a rectangular storage unit. We are given the width and the diagonal length.

So we can use Pythagorean Theorem.

3^2 + b^2 = 8^2

9 + b^2 = 64

subtract 9 from both sides

b^2 = 55

b = sqrt55

b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.

Answer:

a=101

b=67

c=84

d=80

Step-by-step explanation:

The measure of an intercepted arc will always be twice the measure of the inscribed angle

to find A:

2(100)=a+99

200=a+99

a=101 degrees

d=80 degrees because 100*2=200, 360-200=160, and 160/2=80

You can find c by subtracting 100, 96, and 80 from 360 and you get c=84 degrees

Find the measure of b by using what you found as measure of c and a

2(84)=101+b

168=101+b

b=67

Answer:

By the inscribed angle theorem, the measure of inscribed angles is half the measure of its intercepted arc, the inscribed angle measuring 100°.

Intercepts the arc measuring [tex](a+99)^{o}[/tex] so:

[tex]100=1/2(a+99)[/tex]

[tex]200=a+99[/tex]

Subtract 99 from both sides

[tex]a=101[/tex]

By the corollary 3 of the inscribed angle theorem, the opposite angle of a quadrilateral inscribed in a circle are supplementary so:

[tex]c+96=180[/tex]

Subtract 96 from both sides

[tex]c=84[/tex]

and,  [tex]d+100=180[/tex]

[tex]d=80[/tex]

The inscribed angle measuring c° intercepts the arc measuring (a+b)° so:

[tex]c=1/2(a+b)[/tex]

[tex]84=1/2(101+6)[/tex]

[tex]168=101+b[/tex]

[tex]b=67[/tex]

OAmalOHopeO

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

Answer:

C

Step-by-step explanation:

7+(-4x^2) where x=0, 7+0=7

Answer:

C. 7

Step-by-step explanation:

[tex]7+(-4x^2)[/tex]

Replace x with 0

[tex]7+(-4(0)^2)[/tex]

0 squared is 0. -4 times 0 is also 0.

7+0=7

I hope this helps!

Answer: There is no mode.

Step-by-step explanation:

The mode is the number in a data set that occurs most frequently. Count how many times each number occurs in the data set. The mode is the number with the highest tally. It's ok if there is more than one mode. And if all numbers occur the same number of times there is no mode.

Hope this helps!

Answer:

D

Step-by-step explanation:

D is the correct answer

Answer:

0 is the smallest subset that 12 belongs i think

Answer:

whole number because 12 is a positive number with no decimal place or fraction.

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

Answer:

-3

Step-by-step explanation:

Idnxjhwhdjdudjdkuff

Answer:

[tex]x=-\frac{18k}{k-1};\quad \:k\ne \:1[/tex]

Step-by-step explanation:

[tex]\mathrm{Divide\:both\:sides\:by\:}k-1;\quad \:k\ne \:1[/tex]

[tex]\frac{x\left(k-1\right)}{k-1}=\frac{-18k}{k-1};\quad \:k\ne \:1[/tex]

Answer:

C

Step-by-step explanation:

There are two corresponding angles shown and one included angle meaning the angle is in-between the two sides, allowing this to be characterized by SAS similarity.

Answer:

The sales tax rate is 5%.

Step-by-step explanation:

To determine the sales tax rate if you already know the amount of tax being added to the purchase price, divide the amount of tax by the purchase price. In this example, divide $1.29 (amount of tax being added) by $25.79 (purchase price). When you do that, you will see that the answer is 0.0500, or 5%.

Answer:

499

9

April 12 2021

Step-by-step explanation:

1 and 500 are the smallest and largest

12 is the highest common factor

Every 12 days they have an appointment together

Answer:

2x² + x - 15

Step-by-step explanation:

(3 + x)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3(2x - 5) + x(2x - 5) ← distribute both parenthesis

= 6x - 15 + 2x² - 5x ← collect like terms

= 2x² + x - 15

Answer:

The Correct Answer is option C.)  [tex]3052.1 km^{3}[/tex]

Answer:

composite number

prime factors={2,3}

factors of 18={1,2,3,6,9,18}

❏ Hello there! ❏

This number is composite.

Prime numbers have only two factors.

An example of a prime number is 5 (it's divisible by itself and 1)

Every prime number is divisible by itself and 1 (only these two numbers)

Composite numbers, however, have 3 or more factors.

18 has more than 3 factors, therefore, it's composite.

Product of prime factors:

2*3*3

2 is prime, because it's divisible by itself and 1

3 is prime as well

Hope it helps you!

~Just a cheerful gal

#CarryOnLearning

Answered by

[tex]-SilentNature -[/tex]

Answer:

5 meters per second

Step-by-step explanation:

Find your speed by dividing the number of meters traveled by the number of seconds it took:

50/10

= 5

Your speed is 5 meters per second.

Answer:

5 m/sec

Step-by-step explanation:

The speed would be calculated as follows, as a unit rate:

 50 m

----------- = 5 m/sec

10 sec

Answer:

A. trapezoid

Step-by-step explanation:

A trapezoid does not have rotational symmetry .  It would have to rotate 360 degree to  look the same

An equilateral triangle has 120 degree rotational symmetry

A regular pentagon has 72 degree rotational symmetry

A rectangle has 180 degree rotational symmetry

Answer:

0

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = (3-3)/(-3-3)

    = 0/-6

    =0

Answer:

m = 0

Step-by-step explanation:

Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

[tex]\frac{3-3}{3-(-3)}\\\\ \frac{0}{6}\\\\0[/tex]

Therefore, the slope of the line is 0.

*Note that if the y values do not change as x changes, it is evidence that the slope is 0.*

Answer:

bro what to find in this question. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

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Explanation:

Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.

We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square

x^2 + 10x + 24 = 0

x^2 + 10x + 24+1 = 0+1

x^2 + 10x + 25 = 1

Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.

This means x^2+10x+25 factors to (x+5)^2 and we now have these steps

(x+5)^2 = 1

x+5 = sqrt(1) or x+5 = -sqrt(1)

x+5 = 1 or x+5 = -1

x = 1-5 or x = -1-5

x = -4 or x = -6 are the two solutions

------------------

Let's check x = -4 to see if it works or not

x^2 + 10x + 24 = 0

(-4)^2 + 10(-4) + 24 = 0

16 - 40 + 24 = 0

-24 + 24 = 0

0 = 0

We get a true equation. That confirms x = -4 is a solution.

If we tried x = -6, then,

x^2 + 10x + 24 = 0

(-6)^2 + 10(-6) + 24 = 0

36 - 60 + 24 = 0

-24 + 24 = 0

0 = 0

That x value is confirmed as well.

Answer:

x = 100°

Step-by-step explanation:

p and q are parallel lines. Construct line 'l' parallel to p and q

a = 30°   {p// l  when parallel lines are intersected by transversal alternate interior angles are congruent}

c +110 = 180  {linear pair}

c = 180  - 110

c = 70°

b= c   {q // l  when parallel lines are intersected by transversal alternate interior angles are congruent}

b = 70°

x = a + b

x = 30° + 70°

x = 100°

Answer:

-3(2x-4) or -6x+12

Step-by-step explanation:

Area is H*W

theres no value for x so that would be it, unless there is then all you do is plug that into the answer I put.

Answer:

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Step-by-step explanation:

1.)

Let j = Jill's age.

[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]

Therefore, Jill is 11 and Jack is 14.

2.)

[tex]x^2+7x+12\\(x+4)(x+3)[/tex]

Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

Answer:

22/3.

Step-by-step explanation:

7 1/3

= (7*3 + 1)/3

= 22/3.

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.

[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]

[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]

[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]