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neonofarm [45]
2 years ago
8

Please help & solve for x thank you!

Mathematics
1 answer:
vovikov84 [41]2 years ago
4 0

9514 1404 393

Answer:

  x = 23.1

Step-by-step explanation:

The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...

  x/14 = 33/20

Multiplying by 14, we get ...

  x = 14(33/20) = 7(33/10) = 23.1

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Circle 1: center (8, 5) and radius 6
PolarNik [594]
We have that
<span>Circle 1: center (8, 5) and radius 6
</span><span>Circle 2: center (−2, 1) and radius 2

we know that
the equation of a circle is
(x-h)</span>²+(y-k)²=r²
for the circle 1---------> (x-8)²+(y-5)²=36
for the circle 2---------> (x+2)²+(y-1)²=4

using a graph tool 
see the attached figure

Part A)<span>What transformations can be applied to Circle 1 to prove that the circles are similar?

we know that
r1/r2---------> 6/2------> 3
</span><span>
to prove that the circle 1 and circle 2 are similar, the radius of circle 1 </span>must be divided by 3 and  translate the center of the circle 1  (10) units to the left and (4) units down  
<span>
 the answer part A) is
</span>the radius of circle 1 must be divided by 3 and  translate the center of the circle 1  (10) units to the left and (4) units down  


Part B) <span>What scale factor does the dilation from Circle 1 to Circle 2 have?

the answer Part B) is 
the scale factor is (3/1)</span>

6 0
3 years ago
SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SA
kotegsom [21]

Answer:

I should use at least 304 students

Step-by-step explanation:

Margin error (E) = t × sd/√n

E = 40

sd = 300

confidence level (C) = 98% = 0.98

significance level = 1 - C = 1 - 0.98 = 0.02 = 2%

t-value corresponding to 2% significance level and infinity degree of freedom is 2.326

n = (t×sd/E)^2 = (2.326×300/40)^2 = 17.445^2 = 304 (to the nearest integer)

3 0
3 years ago
Need help in understanding how to solve this problem.
Feliz [49]

Answer:

Step-by-step explanation:

3x+y+z= 4

3x+ y = 4 - z

y = 4-z-3x

We then make parallel

y-2 = 4−z−3x

y-2 = 4-2 -z-3x

y-2 = 2-z-3x

y = -z-3x+2

7 0
3 years ago
you go to a restaurant and spent 36.43 on food. if you give the waitress an 18% tip how much money would you get the waitress bi
kenny6666 [7]

Answer:

$43.03

Step-by-step explanation:

18% of $36.43 = $6.60  (6.5574)

$6.60 + $36.43 (price of food without tip)

$6.60 + $36.43 = $43.03

7 0
3 years ago
How many square centimeters are in an area of 5.60 in2?
Phantasy [73]

1 square inch = 2.54^2 = 6.4516 square cms

So 5.60 in^2  = 6.60 * 6.4516 =   36.13cm^2 to nearest hundredth

7 0
3 years ago
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