What is the measure of angle x?

Answer:

JL = 54

Step-by-step explanation:

JL = JK + KL

JK = KL

8x+11 =14x-1

12 = 6x

x = 2

substitute for x:

8(2)+11 + 14(2)-1 = JL

JL = 16+11+28-1

JL = 54

The original amount of the loan of Margo is $1560.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the original amount is x

Given that,

She has already paid $315 and still owes them $1245.

So,

x - 315 = 1245

x = 1560.

Hence "The original amount of the loan of Margo is $1560".

For more about the equation,

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the answer is x=47 hope this helps

Answer:

5/6

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

Given :

X/4 = 2/5

To solve for X ;

We can use cross multiplication ; multiply opposite values :

X * 5 = 2 * 4

5X = 8

To isolate X ;

Divide both sides by 5

5X/5 = 8/5

X = 8/5

X = 1.6

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

Answer:

£9360

Step-by-step explanation:

£18000× 12 ÷100 = £2160

£2160 × 4 = £8640

£18000 - £8640 = £9360

Therefore his car will be worth £9360 after 4 years

Answer:

31

Step-by-step explanation:

Answer:

96+8a

Step-by-step explanation:

8*a=8a

8*12=96

combine them

96+8a

Answer:

3

Step-by-step explanation:

4/12 = 1/3 yepppp djdkkdkdd

Answer:

Step-by-step explanation:

Write the prime factors making up the two expressions

48x^2: 2 * 2  * 2 * 2 * 3 * x * x

32x^3:  2 * 2 * 2 * 2 * 2 * x * x * x

Underline what is common to both

The highest common factor is 2 * 2 * 2 * 2 * x  * x

The highest common factor is 16x^2

This may look very simplistic, but try a question like this

5397691 and 3271021

The method I've shown you is likely the only way you could factor these two monsters and they are relatively small numbers.

Answer:

Look below.

Step-by-step explanation:

Point slope fromula: y-y1=m(x-x1)

First we have to plug in our points and slope into the formula.

3 will be plugged into x1 while -1 will be plugged into y1.

Since m represents slope we will plug in -2 into m.

Answer: y+1=-2(x-3)

Answer:

1-8/27

Step-by-step explanation:

[tex](\frac{2}{3})^3=\frac{8}{27}[/tex]

[tex](\frac{3}{4})^0=1[/tex] (anything to the zeroth power is 1)

[tex]1+\frac{8}{27}=1\frac{8}{27}[/tex]

We cannot simplify, so 1-8/27 is our answer.

Hope this helps. Have a nice day.

Answer:

225 [tex]units^{2}\\[/tex]

Step-by-step explanation:

Answer: Choice D

They should be blocked by pain resistance so the subjects are as similar as possible.

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Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice D is the final answer.

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Extra info:

Answer:D

Step-by-step explanation:

This is due to the question explicitly stating how the previous studies have shown the effects of treatment may vary based on a subjects pain resistance. This leads to the only option that relates to the study's background, D

Answer:

it is a

171 degrees

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Answer: The answer is 13.5

Step-by-step explanation:

Answer: 16-p=C

Step-by-step explanation:

p is price of the wallet and it has to be either less than or equal to the 16 dollars spending money. And that result will equal C which represent the change or what's left after spending unknown amount from 16

Answer:

The are is 136 cm.

Step-by-step explanation:

12 * 8 = 96cm

8 * 4 = 32cm

96 + 32 = 128cm

8 - 4 = 4 / 2 = 2

4 * 2 = 8

128 + 8 = 136cm

plz mark as brainliest if correct!

Answer:

Step-by-step explanation:

12-4=8

area=8×8+(8+4)/2 ×4

=64+6×4

=64+24

=88 cm²

Answer:

14 m

Step-by-step explanation:

Speed = 28 mph

Time = 30 minutes = 30/60 = 1/2 hour

Distance  = speed * time

               = 28 * [tex]\frac{1}{2}[/tex]

                = 14 m

Answer:

14 miles

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

-1.25  ± 0.90i  correct to the nearest hundredth

Step-by-step explanation:

-40x = 16x2 + 38

16x^2 + 40x + 38 = 0    Simplify by dividing by 2:

8x^2 + 20x + 19 = 0

Using the quadratic formula:

x = [ -b  ±√(b^2 - 4ac) ] / 2a

Plug in the coefficients of our equation:

x = [ -20 ±√(20^2 - 4*8*19) ] / 2*8

=  -5/4  ± √(-208)/16

= -5/4 ± 14.4222i/16

= -1.25  ± 0.90i  correct to the nearest hundredth.

Answer:

N CCX  XN

Step-by-step explanation:

Answer:

no , 1 , 3 and 4 are expressions as they don't have an equal sign .

Answer:It’s a long triangle

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Answer:Howwwwwwww!!!!!!.”?.?....?.??.??.

Answer:

1

Combine multiplied terms into a single fraction

6−8=12(4+5)

6−8=1(4+5)2

2

Multiply by 1

6−8=1(4+5)2

6−8=4+52

3

Add

8

888

to both sides of the equation

6−8=4+52

6−8+8=4+52+8

10 more steps

Solution

=21/8

Step-by-step explanation: