Given DEF : RST, find x. 12 15 16 64

Answer:12Step-by-step explanation:

Mathematics High School

Given ΔDEF : ΔRST, find x. 12 15 16 64

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

For ΔDEF similar to ΔRST, the value of x is 12. So, option a) is correct.

Two triangles are said to be similar if corresponding angles are equal or corresponding sides are in the same proportion.

Given triangles are similar:

ΔDEF ~ ΔRST

Therefore, using the property of similar triangle that corresponding sides of a similar triangle are in same proportion.

[tex]\dfrac{EF}{ST}=\dfrac{ED}{SR}\\\\\dfrac{x}{16}=\dfrac{3}{4}\\\\x=\dfrac{3}{4}\times 16\\\\x=12[/tex]

Thus, the value of x is 12. So, option a) is correct.

Learn more about similar triangles, here:

https://brainly.com/question/29191745

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Related Questions

I NEED HELP THIS IS MISSING I GIVE BRAINLIEST only if you are right tho

Answers

Answer:

I thinks its negative

Step-by-step explanation:

because since there is more neagitive that positive it will be neagitive

Explain WHY a rotation of 180° is the same as doing
reflection over the x-axis AND the y-axis?

Answers

The 180 degree acts like both a horizontal (y axis) and vertical (x axis) reflection in one action.Precisely. Although they appear similar at first,rotating a figure 180 degrees swaps the image left-to-right and top-to-bottom at once.

Can 6/-6 be simplified?

Answers

Answer:

yes. it would technically be -1

Step-by-step explanation:

Because fractions are technically division, 6 ÷-6 = -1

Answer:

yes it can be simplified to 6/6 thats the lowest term

Step-by-step explanation:

hoped it helped

can u give me a brainlist?

What is the coefficient of the last term in the binomial expansion of (x + 1)9?

Answers

Answer:

1 is the coefficient of the last term in the binomial expansion

The answer would be 1

You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7

Answers

a4= 64/7 a5=-256/7 a6=1024/7

Let p(n) be the number of primes less than n. What is p(50)

Answers

Answer:

There are 15 prime numbers less than 50

Step-by-step explanation:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53

This is the problem that I need help with please. :)

Answers

Answer:

umm I think it 186

Step-by-step explanation:

Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)

Answers

Answer:

3/-7

Step-by-step explanation:

Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.

Oak Street intersects with Mill Avenue. The traffic light on Oak Street follows a cycle. It is green for 35 seconds, yellow for 5 seconds, and red for 20 seconds. As you travel along Oak and approach the intersection, what is the probability that the first color you see is red? Write the probability as a simplified fraction. Incorrect feedback has been removed from the screen. Fill in the blank text field 1

Answers

Answer:

1/3

Step-by-step explanation:

20/60 simplified is 1/3

20 for the red light

60 all of them added

Write an algebraic expression that models the following statement:

Four times the sum of 'x' and '7'.

Answers

Answer:

4(x+7)

or 4x+28

Step-by-step explanation:

Here you go:)

2.5(a + 4) + 0.5a = 12.4

Answers

Answer:

a=0.8

Step-by-step explanation:

First I distributed 2.5 into (a+4) and got (2.5a+10)+0.5a=12.4. I then combined like terms which are 2.5a and 0.5a and got 3a+10=12.4. I subtracted 10 from both sides to get rid of it and got 3a=2.4. Later, I divided 3 from both sides to get a which comes out to be 0.8.

Hope this helps you :)

Q1)Complete the table of values of y=6/x

Q2)Which of A,B or C is the correct curve for y=6/x

I will give brainliest!!! Help pleaze

Answers

Answer:

Q1) 12, 2, 1.5, 1

Q2) I believe its C

Step-by-step explanation:

Hope it helps!

Answer:

1st question 12, 2, 1.5, 1

2nd question C

Step-by-step explanation:

Hope I helped

The reflection of point S across the y-axis is point
. The reflection of point Q across the x-axis and the y-axis is point
, whose coordinates are (
,
).

Answers

Point V
Also point V
(-5,-5.5)

Which expression is equivalent to (xy)z?

A (x+y)+z
B 2z(xy)
C x(yz)
D x(y+z)

Answers

Answer:

Step-by-step explanation:

Answer:

It's C Aka x(yz)

Step-by-step explanation:

I Just Got A lOO% When I Put That As My Answer On My Quiz On Edge. :)

In a video game, two objects move around the screen according to the equations r = 4cos(0) and r= -1 +
2cos(0). Which coordinates represent a possible collision point of the objects?

Answers

Answer:

The correct option is;

[tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]

Step-by-step explanation:

The given parameters are

The equation of motion of one (the first) object is r = 4·cos(θ)

The equation of motion of the other (the second) object is r = -1 + 2·cos(θ)

Equating both equations gives;

4·cos(θ) = -1 + 2·cos(θ)

4·cos(θ) - 2·cos(θ) = -1

2·cos(θ) = -1

cos(θ) = -1/2

θ = Arccos(-1/2) = 120° = 2·π/3

Therefore, the two equations are equal when θ = 2·π/3 for which we have;

r = 4·cos(2π/3) = -2 and r = -1 + 2·cos(2π/3) = -2

∴ r = 4·cos(2π/3) = -1 + 2·cos(2π/3) = -2

The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore [tex]\left ( -2,\dfrac{2 \cdot \pi }{3} \right)[/tex]

Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex])

Given that ,

The first object is moving around the screen r = 4 cos(0)

The second object is moving around the screen r = -1 + 2cos(0)

We have to find ,

The coordinates represent a possible collision point of the objects.

According to the question,

Coordinate represent collision points to object ,

Equating both equations ;

4·cos(θ) = -1 + 2·cos(θ)

4·cos(θ) - 2·cos(θ) = -1

2·cos(θ) = -1

cos(θ) = -[tex]\frac{1}{2}[/tex]

θ = [tex]cos^{-1} (\frac{1}{2} )[/tex] = 120°

[tex]\theta[/tex] = [tex]\frac{-2\pi }{3}[/tex]

Therefore, the two equations are equal when θ = [tex]\frac{2\pi }{3}[/tex]

We have;

r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -2

And r = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex]) =

r = -2

r = 4·cos([tex]\frac{2\pi }{3}[/tex]) = -1 + 2·cos([tex]\frac{2\pi }{3}[/tex])

r = -2

The coordinate that represents a possible collision point of the objects in the form (r, θ) is therefore r = -2 and [tex]\theta = \frac{2\pi }{3}[/tex] .

Hence, The coordinate that represents a possible collision point of the objects in the form (-2, [tex]\frac{2\pi }{3}[/tex]) .

For the more information about Motion of Equation line click the link given below.

https://brainly.com/question/21024882

Solve one third plus seven ninths equals

Answers

Answer:

1 1/9 0r 10/9

Step-by-step explanation:

the least common denominator or LCM of the two denominators:

LCM of 3 and 9 is 9

For the 1st fraction, since 3 × 3 = 9,

1 × 3=3

3 × 3=9

= 3/9

Likewise, for the 2nd fraction, since 9 × 1 = 9,

7 × 1=7

9 × 1=9

=7/9

Add the two fractions:

3/9+ 7/9=10/9

So, 1/3 + 7/9 = 10/9

In mixed form: 1 1/9

What is the equation of the line that passes through the point (1,0) and has a slope of 1 ?

Answers

Answer:

y = x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , thus

y = x + c ← is the partial equation

To find c substitute (1, 0) into the partial equation

0 = 1 + c ⇒ c = 0 - 1 = - 1

Answer:

29,000,000,000

Step-by-step explanation:

1. The sum of two consecutive integers is 27. What are the two integers?|

Answers

Answer:

13 and 14

Step-by-step explanation:

Y=2x+6
3y-x+3=0

Substitute to solve

Brainliest for correct answer

Answers

Answer:

-21/5 or -4.2

Step-by-step explanation:

y = 2x + 6

3y - x + 3 = 0

Substitute the value for y from the first equation into the second equation. Solve for x.

3y - x + 3 = 0

3(2x + 6) - x + 3= 0

6x + 18 - x + 3 = 0

5x + 18 + 3 = 0

5x + 21 = 0

5x + 21 - 21 = 0 - 21

5x = -21

x = -21/5 or -4.2

Multiply and simplify the following complex numbers:
(3 – 41) x (-3+22)

Answers

Answer:

Your answer is going to be - 722

Step-by-step explanation:

(3-41)=-38

(-3+22)=19

-38*19=-722

Answer: (3 – 41) x (-3+22)= -722

When you go to do the multiplication or any math like this

parentheses,

exponents,

multiplication &division,

addition & subtraction,

Multiplication and division go together, so you do whichever one comes first. Same with addition and subtraction,

So If you do the math in P-E-M-D-A-S (3−41)(−3+22)

=−38(−3+22)

=(−38)(19)

=−722

-722 is your answer

A hamburger costs $(2x + 3), chips costs $(x - 1) and a drink costs $(3x - 5). Write an
algebraic expression for the total cost of a hamburger, chips and a drink.

Answers

Answer:

(2x+3)+(x-1)+(3x-5)

Step-by-step explanation:

add all your expressions & Ect together .

Write the following number in standard form: 3.471 x 10 to the power of negative 3

Answers

Answer:

=-3471 is the answer this may help you.

Step-by-step explanation:

=3.471×10^-3

=3.471×-1000

=-3471

Find the slope of the line passing through the points (-2, 8) and (3,8).
Please help!!

Answers

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

can some one please help me im confused on this im really stuck :(

Answers

A- swimming up 5 feet means +5 and -9+5=-4

The answer is A
Because moving 5 units up from -9 , you will end up at -4 ( 4 units below sea level)

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