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Step2247 [10]
3 years ago
5

Help me please:(**********​

Mathematics
1 answer:
ozzi3 years ago
4 0

Answer:

11.7

Step-by-step explanation:

First HK can be found via Pythagorean Theorem

6^2 + 10^2 = 36 + 100 = 136

The square root of 136 is (rounded to the nearest tenth): 11.7

GJ is congruent to HK

GJ = 11.7

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A business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equi
NemiM [27]

The business was valued at £17000 at the start of 2011. In 6 years, the value of this business was raised to £186000. This is equivalent to a yearly increase of 49.0%.

Given that, A=£17000, P=£186000, r=x%, t=6 years

<h3>What is compound interest?</h3>

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

We know that, A=P(1+\frac{r}{100} )^{n}

Wow, 186000=17000(1+\frac{x}{100} )^{6}

⇒10.94=(1+\frac{x}{100} )^{6}

⇒1.4891=1+\frac{x}{100}

⇒0.4891=\frac{x}{100}

⇒x=48.91%~49.0%

Therefore, the value of x is 49.0%.

To learn more about compound interest visit:

brainly.com/question/13001287

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7 0
2 years ago
Help? Please?<br> I really suck at geometry
Maslowich

Answer:

x = 14

y = 4

Explanation:

Ok so, just from looking at the two triangles i can tell they're congruent right triangles. I used different colors to show which sides of the triangle correspond and are equal to each other in my attatched photo.

So the side thats equal to x is the same length as the side that's equal to y+10 on the other triangle.

So we can write the equation x = y + 10.

Using this same method, the side that's equal to x + 2 is the same length as the side that's equal to 4y on the other triangle.

So, we can write the equation 4y = x + 2.

Now we have the equations \left \{ {{x=y+10} \atop {4y=x+2}} \right. you could rewrite to be in slope- intercept form so they're easier to graph. But a graphing calculator online would plot it just fine.

If you graph these two equations they'll intersect at the solution ( 14, 4 ). I'll include the graph in my images as well.

To check your answer, you can plug in x and y and see if the triangle sides end up being the same length. I did and it was correct.

8 0
3 years ago
What is the measure of an anglethat is supplementary to an angle of 37°? A. 127° B. 53° C. 143° D. 323°​
KengaRu [80]

<u>Answer:</u>

143°

option c is correct!

<u>Explanation:</u>

Given:

Two angles are supplementary:

One angle = 37°

We know if two angles are supplementary their sum is equal to 180°.

Let another angle be x°

= > 37° + x° = 180

= > x° = 143°

Therefore another angle is 143°.

8 0
3 years ago
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satela [25.4K]

Answer:

{ \tt{ -  {2b}^{2}  - 18 {b}^{2} }} \\ =   -  {20 {b}^{2}}

7 0
3 years ago
10. In markets, what is the signal that allocates goods and
dalvyx [7]
A) price is the answer
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