In the figure, the segment is parallel to one side of the triangle. The ratio of x to 16 is
a.1/2
b.1
c.2
d.3

Answers

Answer 1

A)

Step-by-step explanation:

6/12=x/16

12x=96

x=8

6/12=8/16

simplified to 1/2

Therefore, the answer is A)


Related Questions

Louise is making bags of party favors. She has 16 stickers and 24 bracelets. She wants each bag to be alike, and she needs to use all of the stickers and bracelets. What is the greatest number of party bags she can make?

Answers

Find the multiples of each number:

16:  2, 4, 8, 16

24: 2, 3, 4, 6, 8, 12

Now for the greatest number of bags, use the greatest common factor.

The greatest common factor is 8

16 / 8 = 2

24 / 8 = 3

She can make 8 bags which contains 2 stickers and 3 bracelets in each bag.

Answer:

8 party bags.

Step-by-step explanation:

We are dealing with greatest common factor.

16= 1,2,4,8

24=1,2,3,4,6,8,12

Now we see the greatest common factor is 8 bags. Since we know its 8 bags, we can make this conclusion. 16/8= 2 stickers each bag. 24/8=3 bracelets each bag. So, the greatest number of party bags she can make is: 8 bags.

More info: 2 stickers each. 3 bracelets each.

Hope this helps! :)

find the slope(-1,-1),(2,-2)

Answers

Answer:

[tex]\huge\boxed{slope=-\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the coordinates of the given points (-1, -1) and (2, -2):

[tex]m=\dfrac{-2-(-1)}{2-(-1)}=\dfrac{-2+1}{2+1}=\dfrac{-1}{3}=-\dfrac{1}{3}[/tex]

Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?​

Answers

Answer:

Hey there!

Corresponding angles are in the same position, so 1 and 6 are not corresponding angles.

Let me know if this helps :)

Answer:

A

step by step explanation

1 and 6

What are the coordinates of the vertices of ∆A′B′C′ after each movement?

Answers

Answer:

multiply each coordinate by 2

Step-by-step explanation:

your welcome

What is the volume of the following prism?
A. 96 in³
B. 480 in³
C. 48 in³
D. 108 in³

Answers

Answer:

C

Step-by-step explanation:

To find the volume, we can multiply the area of the base by the height. The base is a triangle so its area is (4 * 3) / 2 = 6 and the height is 8 so the volume is 6 * 8 = 48 in³.

Answer:

C.  Vol = 48 in³

Step-by-step explanation:

Vol = base area of a triangle x height.

Vol = ( 1/2 * 3 * 4 ) x 8

Vol = 48 in³

I need the answers... Help please

Answers

Answer:The members of AUB={1,2,3,4,5,6,7,9}

The members of one possible set C ={4,5,8,10}

5.The ratio of the age of a mother and her son is 5:2. If the
age of the son is 16 years, find the age of mother.​

Answers

Answer:

The age of mother is:

40 years

Step-by-step explanation:

2a = 5b

b = 16

a = age of a mother

b = age of her son

2a = 5*16

2a = 80

a = 80/2

a = 40

probe:

2*40 = 5*16 = 80

slope of (6,7) (9,8)

Answers

Answer:

1/3

Step-by-step explanation:

We can find the slope using the slope formula

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

    = ( 8-7)/(9-6)

   = 1/3

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

Step 1: Use slope formula

[tex]m= \frac{y2 - y1}{x2 - 1} [/tex]

[tex]m = \frac{8 - 7}{9 - 6} [/tex]

[tex]m = \frac{1}{3} [/tex]

Therefore the slip of the equation is 1/3

pls help i’m very confused

Answers

Answer:

m<EBD = 130 degrees

Step-by-step explanation:

We can say that Line EC is bisected by Line AD at point B.  The angle CBD = 50 degrees is a supplement of the bisected line EC.  With this in mind we can say:

EBD + CBD = 180

And we can solve for EBD:

EBD + CBD = 180

EBD + 50 = 180

EBD = 130

So the measure of angle EBD is 130 degrees.

Cheers.

Answer:

130°

Step-by-step explanation:

You need the remaining angle. 50° and the missing angle make up 180°. Therefore, you need to subtract 50 from 180. 180 - 50 = 130. Hence, the missing angle is 130°.

I hope it's ok if I used your photo!


what’s the answer choice?

Answers

Answer:

[tex]\huge\boxed{Option \ A}[/tex]

Step-by-step explanation:

a) 11 + 2x

[More than => Addition, Sum]

b) [tex]\frac{5}{x} - 2[/tex]

[Quotient => Division, Less than => Subtraction ]

c) 4(x+8)

[Product => Multiplication and it says that there are two terms to be multiplied]

1 => 4 and 2 => (x+8)

Where they are multiplied, they are written as:

=> 4(x+8)

Someone help me pleaseeeee!!

Answers

Answer:

Answer is attached below :)

(It's the 4th option)

(❁´◡`❁)

What is 2 3/5 x 1 3/7

Answers

Answer: 3 5/7
Hope this helps.

Which is an equivalent equation solved for t? t = t equals StartFraction f minus v Over a EndFraction z. t = t equals StartFraction f minus a Over v EndFraction z. t = a(f – v) t = v(f – a)

Answers

Answer:

[tex]t=\dfrac{f-v}{a}[/tex]

Step-by-step explanation:

The equation that represents the final velocity of an object is given by :

f=v+at ....(1)

v is initial velocity

a is acceleration rate

t is time

We need to solve the above equation for t.

Subtracting both sides of equation (1) by v

f-v=v-v+at

f-v=at

Dividing both sides of the above equation by a

[tex]\dfrac{f-v}{a}=\dfrac{at}{a}\\\\t=\dfrac{f-v}{a}[/tex]

So, the value of t is [tex]\dfrac{f-v}{a}[/tex].

Answer:

the answer is A

i am doing the assignment right now and i got it correct

If g(x)= x^2-2x-6 and h(x)= 2x^2-5x+2 find (h-g) (-2)

Answers

Answer:

[tex](h - g)( - 2) = 18[/tex]

Step-by-step explanation:

g(x) = x² - 2x - 6

h(x) = 2x² - 5x + 2

To find (h-g) (-2) we must first find h - g(x)

To find h - g(x) subtract g(x) from h(x)

We have

[tex](h - g)(x) = {2x}^{2} - 5x + 2 - ( {x}^{2} - 2x - 6) \\ = {2x}^{2} - 5x + 2 - {x}^{2} + 2x + 6 \\ = {2x}^{2} - {x}^{2} - 5x + 2x + 2 + 6[/tex][tex](h - g)(x) = {x}^{2} - 3x + 8[/tex]

To find (h-g) (-2) substitute the value of x that's - 2 into (h - g)(x) that's replace every x in (h - g)(x) by - 2

That's

[tex](h - g)( - 2) = ({ - 2})^{2} - 3( - 2) + 8 \\ = 4 + 6 + 8 \\ = 10 + 8[/tex]

We have the final answer as

[tex](h - g)( - 2) = 18[/tex]

Hope this helps you

The perimeter of a scalene triangle is 14.5 cm. The longest side is twice that of the shortest side. Which equation can be used to find the side lengths if the longest side measures 6.2 cm? A scalene triangle where all sides are of different lengths. The base of the triangle is labeled 2a, is twice that of the shortest side labeled a. The other side is labeled b.

Answers

Answer:

9.3 + b = 14.5

Step-by-step explanation:

We are learning about perimeter.

Look for the formula of the perimeter,

P = a + b + c

The question states "The longest side is twice that of the shortest side."

A is the longest side while b is the shortest side.

The shortest side equation would be found below :

6.2 = 2c

c = 3.1

Making a completion of the longest side :

14.5 = 6.2 + 3.1 + b

14.5 + 9.3 + b

Answer:

B.)

Step-by-step explanation:

e=mc^2 solve for c please help will mark brainliest

Answers

Answer:

c= - (sqr em)/m

Step-by-step explanation:

Answer:

c = ± [tex]\sqrt{\frac{e}{m} }[/tex]

Step-by-step explanation:

Given

e = mc² ( divide both sides by m to isolate c² )

[tex]\frac{e}{m}[/tex] = c² ( take the square root of both sides )

c = ± [tex]\sqrt{\frac{e}{m} }[/tex]

Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0.25 for each phone call she answers. Maggie answered 60 phone calls and earned $115 last week.

Part A: Create an equation that will determine the number of hours she worked at the pet store. (3 points)

Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)

Part C: How many hours did Maggie work at the pet store last week? (1 point)

Answers

Answer:

11hr 20 phone calls

Step-by-step because Maggie earns money from working at the pet store and answering phones. She earns $10 each hour she works at the pet store and $0.25 for each phone call she answers. Maggie answered 60 phone calls and earned $115 last week.

Givin the sequence 2,6,10
What are the next numbers in the sequence ?

12,16
16,24
14,20
14,18

Answers

the answer is the last one: 14,18

What are the steps for using integer tiles to evaluate the expression 45-15?
ООО
Start with 15 tiles and separate them into 3 same-sized groups.
Start with 45 tiles and separate them into 15 same-sized groups.
Assemble 45 groups of 3 tiles each.
Assemble 45 groups of 15 tiles each.

Answers

Answer: B. Start with 45 tiles and separate them into 15 same-sized groups

Step-by-step explanation:

In this case, 45 is divided by 15

#1 we should start with the total amount (dividend) that is going to be divided which is 45

#2 we should separate the dividend into the divisors amount which is 15

with all the steps, we will get the 3 groups of 15 which will be the answer

#CarryOnLearning

Answer:

its b sorry im late

Step-by-step explanation:

A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made is 21cm long.Find the area of the enlargement​

Answers

Answer: The area of the enlargement is 315cm.

Step-by-step explanation:

If the picture has 35cm as the area and it has a length of 7cm  then we can find the width by dividing the area by the length.

w= 35/7

w =  5      

So in this care the width of the picture in 5cm.

Now is saying that the picture's length has been enlarge or been dilated to 21 cm. To get from 7cm to 21cm you will have to multiply  by 3.  

In this situation, we will have to multiply the original picture's width by 3 to find it enlargement.

w= 5*3 = 15  

The width is 15cm and the length is 21cm so multiply them to find the area.

A = 15 * 21

A = 315cm


The integer -2-(-5) can also be written as ​

Answers

Answer: Hello!

-2-(-5) can also be written as -2 + 5.

When subtracting a negative, you're essentially adding, because you are subtracting a negative value. So we would add 5 to -2.

Hope this helps!

Use the equation below to find v, if u = 20, a= 12, and t= 3.
v=u+at

Answers

Answer:

V is 56

Step-by-step explanation:

V= 20+12(3)

V= 20 + 36

V = 56

Use the distance formula to find the distance between point A(-5, 4) and point B(7, -5)

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{15 \: units}}}}}[/tex]

Step-by-step explanation:

Given,

A( -5 , 4 )⇒ ( x₁ , y₁ )

B ( 7 , -5 )⇒ ( x₂ , y₂ )

Finding distance between these two points

[tex] { \boxed{ \sf {{ distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}}}}}}[/tex]

plug the values

[tex] \sf{ = \sqrt{ {(7 - ( - 5))}^{2} + {( - 5 - 4)}^{2} } }[/tex]

[tex] \sf{ = \sqrt{ {(7 + 5)}^{2} + {( - 5 - 4)}^{2} } }[/tex]

Calculate the sum

[tex] \sf{ = \sqrt{ {12}^{2} + {( - 9)}^{2} } }[/tex]

Evaluate the power

[tex] \sf{ = \sqrt{144 + 81} }[/tex]

Add the numbers

[tex] \sf{ = \sqrt{ 225} }[/tex]

Calculate

[tex] \sf{ = 15 \: units}[/tex]

Hope I helped!

Best regards!!

Divide 36x3 − 96x2 + 48x by 12x.

Answers

3x2-8+4 so the answer is a

Answer:

3x^2-8x+4

Step-by-step explanation:


[tex] - (x + 2) - 2 x = - 2(x + 1)[/tex]
how do I solve this when there no number at the beginning?​

Answers

got it from algebra calculator

Jordan drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total rime takes half an hour, how far does she live from the store?

Answers

Answer:

10 miles away

Step-by-step explanation:

If she travels at only 20 miles per hour, and half of one hour is 30 minutes, then you would divide the amount of miles (20) by 2 to get 10. I'm sorry this isn't the best explanation, but I hope you understand what I am trying to say :((

Solve the following equations by factorisation method.Only factorisation not dharacharya.​

Answers

Hello, please consider the following.

When [tex]x_1[/tex] and [tex]x_2[/tex] are two roots, we can factorise as

[tex]ax^2+bx+c=a(x-x_1)(x-x_2)=a(x^2-(x_1+x_2)x+x_1x_2)=0[/tex]

So for the first equation, we can say that the sum of the zeros is

[tex]\dfrac{a^2+b^2}{2}=\dfrac{a^2}{2}+\dfrac{b^2}{2}[/tex]

and the product is

[tex]\dfrac{a^2b^2}{4}=\dfrac{a^2}{2}\dfrac{b^2}{2}[/tex]

So we can factorise as below.

[tex]4x^2-2(a^2+b^2)x+a^2b^2=(2x-a^2)(2x-b^2)=0[/tex]

And the solutions are

[tex]\boxed{\sf \n\bf \ \dfrac{a^2}{2} \ \ and \ \ \dfrac{b^2}{2}}[/tex]

For the second equation, we will complete the square and put the constant on the right side and take the root.

Let's do it!

[tex]9x^2-9(a+b)x+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2-9\dfrac{(a+b)^2}{4}+2a^2+5ab+2b^2=0\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9(a+b)^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{9a^2+18ab+9b^2-8a^2-20ab-8b^2}{4}\\\\9(x-\dfrac{a+b}{2})^2=\dfrac{a^2+b^2-2ab}{4}=\dfrac{(a-b)^2}{4}\\\\(x-\dfrac{a+b}{2})^2=\dfrac{(a-b)^2}{2^2\cdot 3^2}[/tex]

We take the root, and we find the two solutions

[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}-\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b-a+b}{6}\\\\&=\dfrac{2a+4b}{6}\\\\&\boxed{=\dfrac{a+2b}{3}}\end{aligned}[/tex]

[tex]\begin{aligned}x_1&=\dfrac{a+b}{2}+\dfrac{a-b}{6}\\\\&=\dfrac{3a+3b+a-b}{6}\\\\&=\dfrac{4a+2b}{6}\\\\&\boxed{=\dfrac{2a+b}{3}}\end{aligned}[/tex]

Thank you.

Help 14x^2 + 10 - 3x^2- 3
a) 11x^2 + 2x + 7 ,b) 11x^2 + 10 ,c) 11x^2 + 13 ,d) 11x^2 + 7

Answers

Answer:

D) 11x² + 7

Step-by-step explanation:

combine "like" terms

Select the correct answer.
Which of the following represents a coefficient from the expression given?
9x - 20 + x2
9
O
20
O
х
x2
What is it ?

Answers

9 would be a coefficient since it is a number in-front of a variable

Answer:

9

Step-by-step explanation:

edmentum

Divide 25)1,658.
To find the quotient, start by dividing
into

Answers

The required quotient would be 66 8/25 or 66.32 which is determined by dividing 1,658 by any divisor 25.

What is the Quotient?

A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

We have to determine the quotient.

⇒ 1,658 ÷ 25

Apply the Division operation, and we get

⇒ 1,658 / 25

⇒ 66.32

⇒ 66 8/25

Therefore, the required quotient would be 66 8/25 or 66.32.

Learn more about the quotient here:

brainly.com/question/27796160

#SPJ5

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