Triangle JKL is dilated with the origin as the center of dilation to create triangle J'K'L' .


Which rule best represents the dilation that has been applied to triangle JKL to create triangle J'K'L'

Answer:

x=3, y=5

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

Answer: I think 2

Step-by-step explanation:

Because

Answer:

738 square ft

Step-by-step explanation:

Area of the composite figure

= 21*(12 + 9 + 6) + 9*(9 + 6) + 6*6

= 21*27 + 9*15 + 6*6

= 567 + 135 + 36

= 738 square ft

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

__

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

  hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

  angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

Answer:

9.2

Step-by-step explanation:

S.A.S.→Law of Cosines

a^2=b^2+c^2-2bc\cos A

From reference sheet.

h^2 = 9.2^2+1.4^2-2(9.2)(1.4)\cos 84

=84.64+1.96−2(9.2)(1.4)(0.104528)

Square and find cosine.

h^2 = 84.64+1.96-2.69265

h  

2

=84.64+1.96−2.69265

Multiply.

h^2 = 83.90735

h  

2

=83.90735

Add.  

h=  

83.90735

​  

≈9.16≈9.2

The required measure of the length of h is 9.2 centimeters.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,

Law of Cosines

In ΔHIJ, i = 9.2 cm, j = 1.4 cm and ∠H=84°

Following the cosine rule

a²=b²+c²-2bc×cos A

From given

h² = 9.2²+1.4²- 2(9.2)(1.4) × cos 84

h² = 84.64+1.96-2.69265

h²  = 84.64+1.96 −2.69

h² = 83.9

h ≈9.2

Thus, the required measure of the length of h, to the nearest 10th of a centimeter is 9.2 centimeters.

Learn more about trigonometry equations here:

brainly.com/question/22624805

#SPJ2

Answer:

43.5 cm² and 112 cm²

Step-by-step explanation:

Here the instructions aren't given what to do. So I am finding the area of the ∆s .

Area of first ∆ :-

Area of second ∆ :-

Answer:

[tex] \displaystyle 3) \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

[tex] \displaystyle 4)\rm \boxed{112 {cm}^{2} }[/tex]

Step-by-step explanation:

we are given a triangle and we want to figure out the area of it Since we are given the base and the height we can consider the following formula

[tex] \displaystyle \frac{1}{2} bh[/tex]

from the triangle we can assume base and height as 14.5 and 8 respectively Thus substitute:

[tex] \displaystyle \frac{1}{2} (14.5cm)(6cm)[/tex]

reduce fraction:

[tex] \displaystyle (14.5cm)(3cm)[/tex]

simplify multiplication:

[tex] \displaystyle \boxed{ \rm {43.5 \: cm}^{2} }[/tex]

our given shape is trapezoid

therefore recall that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

from the shape we define that

now substitute:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \frac{9cm + 19cm}{2} (8cm)[/tex]

reduce fraction:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (9cm + 19cm)(4cm)[/tex]

simplify addition:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = (28cm)(4cm)[/tex]

simplify multiplication:

[tex] \displaystyle \rm A _{ \text{trapezoid}} = \boxed{112 {cm}^{2} }[/tex]

Answer:

8

Step-by-step explanation:

We can use triangle inequality, let AC = x:

x+4 > 5

x+5 > 4

9 > x

Simplifying:

x>1

x>-1

9>x

Thus: 9>x>1

So the Largest whole number is 8

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

Answer:

I would choose A

Step-by-step explanation:

Answer:

I use equal signs throughout but they are meant to be less than or equal to signs.

s=sandwiches

4.5s+6 less than or equal to 50

The answer is s is less than or equal to 12

Step-by-step explanation:

Finding Inequality

1. we know everything costs 50 in total so that is on one side of the equal sign.

____=50

2. we know he already spent 6 dollars so the money he can spend is 6 dollars less.

____+6=50

3. Each sandwich costs 4.50 $ so how much money does he have left to spend? we figure that out by multiplying the price by the number of sandwiches.

4.5s+6=50

Solving

1. 4.5s-6=50

First use the addition property of equality and add 6 to both sides.

2. 4.5s=56

Then use the division property of equality and divide each side by 4.5

3. you get a decimal but since you can't buy half a sandwich the answer is

s is less than or equal to 12

Answer:

[tex]427.5[/tex]

Step-by-step explanation:

[tex]95\times4.5[/tex]

Multiply:

[tex]95\times4.5=427.5[/tex]

427.5 is your answer.

Explanation:

Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9

This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1

Answer:

[tex] {n}^{2} + 1 \\ \: respresents \: the \: following \: \\ function[/tex]

i hope it helped.

Answer:

1 1/6

Step-by-step explanation:

You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6

7/6 -6/6= 1 1/6

Answer:

7/6 would be 1 1/6

Step-by-step explanation:

To make it a number in general turn into a decimal.

Answer:

A) Replace one equation with the sum/difference of both equations

Step-by-step explanation:

6x-5y=1

+

-2x+2y=-1

=

4x-3y=0

Answer:

-38

Step-by-step explanation:

Let's say that x= 1st number and y=2nd number.

In order to find the first number,  you have to find out the 2nd number which it says, "5 less than a second number", it would be y-5. then it says the "5 times the first is 8 more than 6 times the second". then there should be an equal sign because there is the word "is". The expression would be: 5(y-5)=6y+8. then solve the y. which is -33, then plug in the y to the y-5 and there you go!

Answer:

its 34

Step-by-step explanation: i

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

Answer:

18m tall?

Step-by-step explanation:

Answer:

20 m

Step-by-step explanation:

The scale factor between the two triangles is 1/10 because of how 3/30 is 1/10.

Therefore we can calculate the height of the tree by multiplying the height of the smaller triangle by 10 to find the height of the tree.

2*10 = 20m

Answer:

2x + 22

Step-by-step explanation:

3x - (1)x = 2x

10 + 12 = 22

therefore 2x + 22 is your answer

Answer:

C

Step-by-step explanation:

subtract : 3x - x = 2x

Add : 10 + 12 = 22

Answer: 2x + 22

Answer:

One reason, is because it clearer and easier to read.

Seeing two numbers (3^5) can let you know, in this example, 3x3x3x3x3 is harder to understand than 3^5.

3 is the number being multiplied, and 5 tells you how many times.

~Hope this helps~

Answer:

x/-5

Step-by-step explanation:

Just divide by 5 and the denominator will be 5 meaning x would have to be 4.

Make sure your 5 is negative so the whole equation also ends up negative. x/-5=-4/5