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Answer:

Step-by-step explanation:

ΔIJK = ΔLMN --- (given)

So,-----------------------

KI / KJ = NL / MN

19 / 40 = 60 / MN

MN = 60 × 40 / 19

MN = 126.31

The required measure of side MN will be 126.3 units.

Similar Triangles are defined as two triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides. The triangles that like one another but may not be exactly the same size are said to be similar triangles.

Given that triangle ΔIJK ~ ΔLMN in the question.

We know that Similar triangles with the same shape, equal pair of corresponding angles, and the same ratio of the corresponding sides.

As per the similarity rule of triangles, we can write the ratio as:

⇒ KI / KJ = NL / MN

⇒ 19 / 40 = 60 / MN

⇒ MN = 60 × 40 / 19

⇒ MN = 126.3157

Rounded to the nearest tenth to get

⇒ MN = 126.3

learn more about similar triangles here:

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Answer:

The answer is 25 feet.

Step-by-step explanation:

You have to apply Pythagoras Theorem :

[tex] {c}^{2} = {15}^{2} + {20}^{2} [/tex]

[tex] {c}^{2} = 625[/tex]

[tex]c = \sqrt{625} [/tex]

[tex]c = 25 \: feet[/tex]

Answer:

3/7

Step-by-step explanation:

the slope of the line is

-1 -6/ 3-0 = -7/3

the slope of the perpendicular line is:

3/7

Answer: y = -5/6 x - 1

Step-by-step explanation:

The slope is -5/6, which is why x = -5/6. The - 1 is so the line on the graph will pass through (0,-1) and (-6,4).

Answer:

[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]

Step-by-step explanation:

Given

See attachment for ski trails

Required

Total length of [tex]2\frac{7}{8}[/tex] ski trails

From the attached figure, there are 3 skis with length [tex]2\frac{7}{8}\ miles[/tex]

So:

The total length is:

[tex]Total\ length = 3 * 2\frac{7}{8}[/tex]

Express fraction as improper fraction

[tex]Total\ length = 3 * \frac{23}{8}[/tex]

[tex]Total\ length = \frac{3 *23}{8}[/tex]

[tex]Total\ length = \frac{69}{8}[/tex]

[tex]Total\ length = 8\frac{5}{8}\ miles[/tex]

Answer:

x+y=−3

Step-by-step explanation:

hope this heps:)

Answer:

x+y=-3 (put -3 into the box)

Step-by-step explanation:

add x to both sides, and you get x+y= -3.

Answer:

I'm unable to understand your question please write it properly

Answer:

not a polygon

Step-by-step explanation:

The given figure is not a polygon.

A polygon is a closed plane figure formed by three or more line segments that meet at points called vertices.

Given is figure,

We know that, a polygon is made up of straight lines connected with each other in a close circuit.

Here, in the figure, there is no polygon, but two polygons joined by a vertex.

Hence, we can say that the given figure is not a polygon.

For more references on polygons, click;

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Answer:

Measure of the arc = 14.32°

Step-by-step explanation:

Radius of a circle = 4 cm²

Area of the circle = πr²

Here, r = radius of the circle

Area of the circle = π(4)²

                             = 16π cm²

                             = 50.265 cm²

Since, area of a sector = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]

Here, θ = Central angle subtended by the arc Or measure of arc

Area of the sector given as 2 cm²

2 = [tex]\frac{\theta}{360}(50.265)[/tex]

θ = 14.32°

Therefore, measure of the arc = 14.32°.

Answer:

Step-by-step explanation:

Answer:

[tex] \huge \boxed{ \boxed{ \red{x = - 7}}}[/tex]

Step-by-step explanation:

Step-by-step explanation:

Solution given;

[tex] \frac{3}{4} (x + 21) = 10 \frac{1}{2 } \\ 3x + 63 = \frac{21}{2} \times 4 \\ 3x = 42 - 63 \\ x = \frac{ - 21}{3} \\ x = - 7[/tex]

:.x=-7 is your answer.

Answer:p=28 and q=4(7)

Step-by-step explanation:

p=28 and q=4(7)

Answer:

[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]

Step-by-step explanation:

A geometric sequence is a list of numbers having a common ratio. Each term after the first is gotten by multiplying the previous one by the common ratio.

The first term is denoted by a and the common ratio is denoted by r.

A geometric sequence has the form:

a, ar, ar², ar³, . . .

The nth term of a geometric sequence is [tex]ar^{n-1}[/tex]

Therefore the sum of the first n terms is:

[tex]\Sigma_{k=1}^{n}(ar^{k-1})[/tex]

Given a geometric series with a first term of 3 and a common ratio of 10/9, the sum of the first n terms is:

[tex]\Sigma_{k=1}^{n}[3(\frac{10}{9} )^{k-1}][/tex]

Answer:

yes

Step-by-step explanation:

3

Answer:

Step-by-step explanation:

1

Answer:

AD = 7

Step-by-step explanation:

Given that the two triangles are similar by the SSS (side side side) postulate, the triangles share the same ratios when it comes to their sides.

We know the values for lines DB, EB and CB, therefore we can solve for AB, and subtract DB to find AD

We can solve the problem by solving for x:

[tex]\frac{x}{32} =\frac{21}{24}[/tex]

Cross multiply.

[tex]24x = 672[/tex]

Simplify.

[tex]x=28[/tex]

Subtract the value of DB to find AD.

[tex]28-21=7[/tex]

[tex]AD=7[/tex]

Answer:

4 7/10

Step-by-step explanation:

Answer:

4 7/10

Step-by-step explanation:

Convirt all the fractions into 1/10ths. Makes addition easy. Hope this helps

Answer:

Yes

Step-by-step explanation:

Congruent =  identical in form; coinciding exactly when superimposed

I noticed this was IXL, sorry bout that, good luck ;)

9514 1404 393

Answer:

  H

Step-by-step explanation:

Standard form has the highest-degree term first. That is the case only for the polynomial of H.

(The degree of a term is the sum of the exponents of its variables.)

Answer:

steps below

Step-by-step explanation:

cos 23° = 6/x

0.92 = 6/x

x = 6/0.92 = 6.52

Answer:

He can type 4.5/5 of a paragraph

Step-by-step explanation: Because there are 60 seconds in a mintune right. 2/3 of an hour=40 seconds. 1.5/5=20 seconds and 60 seconds=4.5/5

Answer:

First-term is 7

The second term is 14

and the third term is 28

i think so im not 100%

Answer:

45

Step-by-step explanation:

a. 5

b. 6

c. 8

d. 10

e. 12

f. 15

Answer:

a) 5

b) 6

c) 8

d) 10

e) 12

f) 15

Answer: x < -6

Step-by-step explanation:

16 > -3x-2

18 > -3x

x < -6

(flip the sign because you are diving by a negative number.)

Answer:

rectangle

Step-by-step explanation:

it's width is 6

it's length  is 12

it couldn't be a square

Answer:

1/3

Step-by-step explanation: