The points J, K, L and M all lie on the same line segment, in that order, such that the ratio of JK:KL:LMJK:KL:LM is equal to 1:4:4.1:4:4. If JM=45,JM=45, find JL.JL.

Answer:

15.62 yards

Step-by-step explanation:

hyp² = 10²+12² = 100+144 = 244

hyp = √244 = 15.62 yards

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

Answer:

Rotation 180

Step-by-step explanation:

The axis points right to the rotation so it implies that exact answer

Answer:

-3, 6

Step-by-step explanation:

The solution is where the two lines intersect.

Answer:

should be (-3,6)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given:

In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

To find:

The value of  ∠K to the nearest 10th of a degree.

Solution:

According to the Law of Sine:

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.

Using the Law of Sine, we get

[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]

[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]

[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]

[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]

[tex]\sin K=0.961349[/tex]

[tex]K=\sin^{-1}(0.961349)[/tex]

[tex]K=74.0182[/tex]

[tex]K\approx 74.0[/tex]

Therefore, the measure of angle K is 74.0 degrees.

Answer: x=2

Step-by-step explanation:

Given

f(x)=3x+1

f(x)=7

Combine two equations by substitution

3x+1=7

Subtract 1 on both sides

3x+1-1=7-1

3x=6

Divide 3 on both sides

3x/3=6/3

x=2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

-3/4

Step-by-step explanation:

(y2 - y1) / (x2 - x1) is the equation for finding slope! All you have to do is plug in the numbers! Hope this helps :)

Work:

5-2/-4-0

3/-4

Answer:

34 degrees

Step-by-step explanation:

m<z = m<s

Answer:

The degree is odd and the leading coefficient is positive.

Step-by-step explanation:

Clearly from the graph of the polynomial function we see that both the ends of the graph are  in the opposite directions.

This means that the degree of the polynomial is odd.

( Since in even degree polynomial both the ends are in the same direction )

Also, the leading coefficient of the polynomial is positive.

Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:

when x → -∞     p(x) → -∞

and when x → ∞   p(x) → ∞

Answer:

Zb= 54°

Step-by-step explanation:

Complementary angles add up to 90°

90-37=54

Answer:

See explanation

Step-by-step explanation:

The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.

The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).

The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.

Answer:

Which of the following steps did you include? Check all of the boxes that apply.

Make sure that the x-values are spaced apart in equal intervals.

Determine whether the y-values increase by the same amount or by the same ratio.

Decide that the data is linear because the y-values increase by a common difference.

Decide that the data is exponential because the y-values increase by a ratio or factor.

Step-by-step explanation:

i took the test

Answer:

20 inches.

Step-by-step explanation:

We equate the perimeters:

5(x - 2) = 4(1/2x + 2)

5x - 10 = 2x + 8

5x - 2x = 8 + 10

3x = 18

x = 6

The perimeters = 5(6-2)

= 20 inches.

Answer:

Step-by-step explanation:

Answer:

n the immediate aftermath of a national election, exit polls offer the best glimpse of what the electorate looked like – who voted for whom and what seemed to drive their choices.

Traditionally, the exit polls have been a collaborative effort of a consortium of major media organizations, involving interviews with a representative sample of thousands of voters as they leave polling places across the nation. In this election, concerns about the pandemic helped drive an unprecedented number of Americans to vote early or by mail. By Nov. 3, more than 100 million Americans had already voted. To account for these voters, this year’s exit polls include data from telephone interviews with a representative sample of people who voted early or by mail. In all, the national exit poll includes interviews with 15,590 voters. It is important to note that these data will be updated, so the numbers below should be considered preliminary, reflecting the exit polls reported as of Nov. 4.

Step-by-step explanation: can you give me brilent

Answer:

Yes

Step-by-step explanation:

Answer:

50.528º

Step-by-step explanation:

tanA = BC/BA

tanA = 17/14

A = 50.528º

ok answer this, 7x150+10 and that should be your answer.

Answer:

x=20

Step-by-step explanation:

 there are two intersecting lines with two pairs of opposite angles each of the pairs are called vertical angles and if two angles are vertical, they are congruent

we know the angles are congruent, we also know (150=7x+10) and in order to solve for x we have to isolate x by subtracting 10 to both sides giving us  (140=7x )

divide by seven on both sides to isolate x and that will give you x=20.

hope this helps :) have a nice day !!

Answer:

1/12

Step-by-step explanation:

I did reverse equations, trust me. Also mark as brainliest

Answer:

M=-36

Step-by-step explanation:

Answer:

m = - 36

Step-by-step explanation:

57=−3(m+5)+m  

57=−3(m+)+m

57=(−3)(m)+(−3)(5)+m(

57=−3m+−15+m

57=(−3m+m)+(−15)(

57=−2m+−15

57=−2m−15  

−2m−15=57  

−2m−15+15=57+15

−2m=72 div 2

Answer:

1. m<T =72 , m<U =54

2. EF= 18 in. , m<F=134'

3. x=4

Step-by-step explanation:

1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T

180 - 54 - 54 = 72

2. ef = gf

180 - 23 - 23 = 134

3. since bottom 2 angles are = , the 2 sides are also =

see attachment for work

Answer:

(-3,-1)

Step-by-step explanation:

To reflect them you gotta switch their places and change their signs from positive to negative.

so (x,y) -> (-y,-x)

Step-by-step explanation:

1st one

y=4x-3

2nd one

y=4-3x

Answer:

2

Step-by-step explanation:

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / [tex]\sqrt{2}[/tex]

so I set up a proportion of 1 / [tex]\sqrt{2}[/tex] = x / 2 [tex]\sqrt{5}[/tex]

cross-multiply to get [tex]\sqrt{2}[/tex]x = 2[tex]\sqrt{5}[/tex]

x = 2[tex]\sqrt{5}[/tex] / [tex]\sqrt{2}[/tex] and multiply numerator and denominator by [tex]\sqrt{2}[/tex], this is called rationalizing the denominator

lets do

[tex]\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{2(5)}[/tex]

[tex]\\ \sf\longmapsto x=\sqrt{10}[/tex]

Answer:

C

Step-by-step explanation:

We have congruent angles in the middle and 2 sides are congruent as well which makes (Angle-Side-Side) which doesn't work for congruent triangles.

C. is the answer

2 givens and then we have CB = CB which is the reflexive property. I haven't heard of (definition of midpoint) but as long as there aren't any more answers except the 3 shown above it should be correct.

Answer: -2.4 gallons per hour

Step-by-step explanation:

Think of this as a linear equation where the rate of change is m.

m = (Y₂ - Y₁) / (X₂ - X₁)

Assume the points are: (2, 15) (7, 3)

m = (3 - 15) / (7 - 2)

= (-12) / 5

= - 2.4 gallons per hour

Gas is reducing by 2.4 gallons per hour.

Answer:

4.78

Step-by-step explanation:

we know volume =4/3 pie r³

=4/3×3.14×r³=457

=r³=(457/4.19)

r³=109.16

r³=(4.78)³

r=4.78 ■

Answer:

Step-by-step explanation:

Given the expression sin(9z − 1) = cos(6z + 1), for 0 < z ≤ 90, we are to find z

Note that sin theta = cos(90-thetsa)

sin(9z − 1) = cos(6z + 1)

cos (90 - (9z-1)) = cos(6z + 1)

cos (90 - 9z+1)) = cos(6z + 1)

cos (91-9z) = cos(6z + 1)

Cos will cancel out to have;

91-9z = 6z+1

-9z - 6z = 1-91

-15z = -90

z = 90/15

z = 6

Hence the value of z is 6