4 lines extend from point B. A line extends straight up from B to point A. Another line extends up and to the right to point C. Another line extends slight up and to the right to point D. The other line extends slightly down and to the right to point E.
Given that ∠ABC ≅ ∠DBE, which statement must be true

Answer:

Step-by-step explanation:

If you substitute x = -4 in the equation, you should get the y value as 3

y = 5x + 21

 = 5* -4 + 21

 = -20 + 21

y = -1 ≠ 3

So, (-4, 3) is not a solution

[tex]solution \\ hypotenuse = x \\ base = 12 \\ perpendicular = 5 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {x}^{2} = {5}^{2} + {12}^{2} \\ or \: {x}^{2} = 25 + 144 \\ or \: {x}^{2} = 169 \\ or \: x = \sqrt{169} \\ x = 13 \\ [/tex]

hope it helps....

Good luck on your assignment

Answer:

Step-by-step explanation:

using pythagoras theorem which says the square root of the sum of the  square of the opposite  side  and the square of the adjacent side would give the value of the hypotenuse

hyp^2 = opp^2 + adj^2

i dont have the square root symbol but u can solve it either way :

you can input the values given and then collect like terms or u can take the square root of the right side. The right angle would always face the hypotenuse which is the longest side.

hyp = x

x^2=(5)^2 +(12)^2

x^2= 25 +144

x^2=169

take the square of both sides to get your value for x

x= 13

Answer:

16:24 is the answer

Hope it helps:)

Step-by-step explanation:

The initial number of cards were

1x:1x

(Equal red cards and black cards)

So, total of 48 and..

24 red cards

24 black cards

Now, since 8 red cards are removed we have,

24-8= 16 red cards

and 24 black cards

So the ratio of red to black is--

16:24

= 2:3 ( i divided both with 8 to simplify )

Pack 48                          48/2 =24

Red= 24                      24/24 : 24 / 24

Black = 24                            1:1

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

Pack 48                        48/2 = 24    

Red= 16                     24 / 16 : 24 / 24

Black= 24                    1,5 : 1

There's 1,5 black cards for each red card

Answer:

6x - 18

Step-by-step explanation:

2x-6 + 4x-12

6x - 18

Answer:

6x - 18

Step-by-step explanation:

(2x−6)+4(x−3)

Distribute

2x -6 + 4x - 12

Combine like terms

6x - 18

Answer:  A

Step-by-step explanation:

3/6= 0.5

4/9= 0.444

3/7= 0.428

3/10= 0.3

0.5 > 0.444....> 0.428 > 0.3

Answer:

the answer is 15:75

Step-by-step explanation:

(1+5)=6

£90/6=15

So, (1×15):(5×15)

=15:75

Answer:

1/8÷7

Step-by-step explanation:

I think

If we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

Given that principal amount is $500 , years are 6 and rate of interest be 7%.

We are required to find the amount that we have to pay after 6 years if we borrow $500.

Compound interest is the interest that is calculated on the principal plus the accumulated interest at that point of time.

Sum after compounding is given as under:

S=P[tex](1+R)^{N}[/tex]

So we have to just put the values to find the money that we have to pay after 6 years.

S=500[tex](1+0.07)^{6}[/tex]

=500[tex](1.07)^{6}[/tex]

=500*1.5

=$750

Hence if we borrowed $500 for 6 years at a rate of 7% interest then we will have to pay approximately $750 after 6 years.

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Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Answer:

322

Step-by-step explanation:

The question explains that the total of both test tubes and beakers were

= 2390.

If 1034 of them were test tubes, then the number of beakers bought,

= 2390 - 1034

= 1356.

The question requires the answer to how many more beakers than test tubes were bought, and this would mean subtracting the number of beakers from the number of test tubes.

= 1356 - 1034

= 322

Therefore, 322 more beakers than test tubes were bought.

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

#14) x is 95 (155-180= 25, 180-25-60= 95)

#19) my best guess is 4 (DE=7 -> AB=11, a 4 unit increase)

Answer:

The answer to number one is 11√17

The answer to number two is 4

Step-by-step explanation:

In number one: once you get both radicands to be equal, then you can add them. Like of it like 3x+2x. The x’s are like terms, so you can add them together.

In number two: the √5 on the top and bottom cancel out. This leaves 12/3 which is equal to 4.

Answer

speed : metres per second (a)

perimeter : meters (b)

volume : cubic centimetres (d)

area : square metres (c)

Answer:

It is complementary.

Step-by-step explanation:

It is since the two angles add up to 90 degrees. If they were vertical angles they would be opposite and be made by intersecting lines. Complementary angles - Angles next to each other that add up to 90 degrees.     Supplementary angles : Angles that are next to each other adding up to 180 degrees.

Answer:

A. $1.75 + $0.25x ≤ $15

Step-by-step explanation:

This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.  

Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.

Option A is the correct option.

Here,

Amount of flat fee of taxi cab = $1.75

Amount of charge for each miles = $0.25

The amount Eddie has to spent = $15

We have to find inequality relationship.

What is inequality?

The relationship between two values that are not equal is defined by inequalities.

Now,

Amount of flat fee of taxi cab = $1.75

Amount of charge for each miles = $0.25

The amount Eddie has to spent = $15

Let Eddie travel x miles.

Therefore, the total charge of taxi cab = $1.75 + 0.25x

And this amount should not exceed the $15 as it is the only amount Eddie has.

Hence the inequality relationship be,

$1.75 + 0.25x ≤ $15.

Option A is the correct option.

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Answer:

0

Step-by-step explanation:

got it right on plato

Answer:

0

Step-by-step explanation:

hopes this helps may yall like and give me 5 stars

Answer: RS

Step-by-step explanation:

A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.

Because Q is the larger angle in the triangle, Then RS is the longest side.

Answer:

B

Step-by-step explanation:

The slope is negative since the line decreases from left to right. This means  that the slope is -1/3.

Answer: 2/3xy^-2z

Step-by-step explanation:

18/27 = 2/3

x^2 / x = x

y / y^3 = y^-2

z isn’t changed

Put the variables together after dividing and you get 2/3xy^-2z.

Step-by-step explanation:

do you mean like this?

18x²y/27xy³z =

if yes the answer is like this

18/27 = 2/3

x²/x = x

y/y³ = 1/y²

1/z = 1/z

multiply all and that's the answer

⅔ * x * 1/y² * 1/z =

[tex] \frac{2x}{3 {y}^{2} z} [/tex]

Answer:

C

Step-by-step explanation:

PLATO

So, sin E=0.5. Therefore, option C is the correct answer.

Given that, AB║DE and sinA= 0.5.

We need to find the value of sin E.

The value of sinθ must always be between −1 and 1. So the domain of f(x) = sinθ contains all the real numbers, but the range is −1 ≤ sin x ≤ 1. We can also see that the function repeats itself every 360°.

Now, sinA = 0.5

⇒∠A=30°

∠A=∠E=30° (∵∠A and ∠E are alternate angles)

Therefore, option C is the correct answer.

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Answer:

$89.7

Step-by-step explanation:

We are given with

height = 9 feet

length = 10 feet

wall brackets:

48-in costing $12.95

60-in costing $16.95

distance of brackets from ends = 1 foot

maximum distance between brackets= 24 inches

The brackets are

48/12 = 4 feet

and

60/12 = 5 feet

One of each must be used to cover the height of the shelf

The length of the shelf is

60 inch

subtracting 1 in from each side for the allowance

60 - 2 = 58 in

Dividing by 24 inches

58/24 = 2.41 ~ 3 

The total cost is

($12.95 + $16.95) * 3 = $89.7

The total cost of the brackets is $89.7

Answer:

True

Step-by-step explanation:

Logic: if 3+4 =7 then 4+3 also = 7 or 3*4 =12 then 4*3 is also 12 etc.

Answer:

The correct option is;

11

Step-by-step explanation:

The incenter is the point where the interior angle bisectors of the triangle meet, hence the interior angles are each bisected into two by the segments DA, EA, and FA respectively

Given that point A is the incenter of ΔDEF, we have;

∠FDE = ∠XDY is bisected by DA which gives ∠XDA = ∠YDA

∠LDA = ∠XDA = 27

∠MDA = ∠YDA = 3··n - 6

Therefore, 27 = 3·n - 6

3·n = 27 + 6 = 33

n = 33/3 = 11°

Answer:

11

Step-by-step explanation:

edge2020

Answer:

Lets do this step by step

Step-by-step explanation:

I hope this helps

Answer:

-14

Step-by-step explanation:

To solve for x, you would first need to add 10 to both sides. Then you would get -3x-10+10=32+10. Then we simplify that to get, -3x=42. Then, you would divide both sides by -3, to get x=-14

Answer:

The first one

Step-by-step explanation:

The first simbol means that job is part of the Books of the Old Testament which is true, because the Book of Job it is in the Old Testament

Answer:

Step-by-step explanation:

[tex]a^{-m}=(\frac{1}{a})^{m}\\\\\\1)7^{-2}=(\frac{1}{7})^{2}\\\\\\2)(\frac{2}{3})^{-3}=(\frac{1}{\frac{2}{3}})^{3}\\\\=(\frac{3}{2})^{3}[/tex]

Answer:

1) D.

2) A

Step-by-step Explanation:

1) [tex]7^{-2}[/tex]

= [tex](\frac{1}{7})^2[/tex]

2) [tex](\frac{2}{3})^{-3}[/tex]

= [tex](\frac{3}{2})^{3}[/tex]

Answer:

100.48

Step-by-step explanation:

Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 =  100.48.

Answer: See below

Step-by-step explanation:

When you see that something is to the power of a negative number, it is another way of saying 1 over.

[tex](2x-2)^-^3=\frac{1}{(2x-2)^3} =\frac{1}{(2x-2)(4x^2-8x+4)} =\frac{1}{8x^3-8x^2+8x-8}[/tex]