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olganol [36]
3 years ago
8

Triangle LMN is congruent to triangle HIJ. Angle L measures 35° angle M measures 65° and angle H measures x degrees. Find the va

lue of x.
Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0
We know that triangle LMN is congruent to triangle HJL so that ==> angle H measures = angle L measures
so that H=L=35 degree
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Why is using a compass and straightedge and compass better than technology
Dimas [21]

Technology comes from the Greek root \tau \epsilon \chi, meaning art or craft.


For the Greeks, a straightedge and compass was technology.


The nice thing about a straightedge and compass construction of any length is that there's always a corresponding algebraic form consisting of natural numbers combined via addition, subtraction, multiplication, division and square rooting (of positive numbers). So we get an "exact" answer, at least using radicals.


Compare that to the typical calculating technology we use today where the square roots turn into approximations. The calculator is worse, turning an exact answer into an approximation.


Straightedge and compass constructions play a large role in the development of mathematics but they're not really better, it's just how things went. By restricting ourselves to straightedges (linear equations) and compasses (circles, quadratic equations) we restricted the possible lengths we could construct. Understanding exactly how propelled mathematics forward for a couple of thousand years.




3 0
4 years ago
Find two consecutive whole numbers that the square root of 105 lies between
erastovalidia [21]

Answer: 10 and 11, also -11 and -10

Sqrt 100 is well known to be 10

Sqrt 121 is 11

Step-by-step explanation:

Positive Sqrt is monotone increasing

So Sqrt 105 is between sqrt 100 and sqrt 121


Second answer

Sqrt 100 is less well known to also be -10

Negative sqrt is monotone decreasing

Sqrt 121 is also -11

Sqrt 105 is also between -121 and -100

4 0
3 years ago
I need help with this question
beks73 [17]

Answer:

  1024

Step-by-step explanation:

1 division: 2

2 divisions: 2×2 = 4

3 divisions: 2×(2×2) = 8

The number of viruses is 2^n, where n is the number of divisions.

After 10 divisions, there are 2^10 = 1024 viruses.

4 0
3 years ago
Jason is building a 1 : 180 scale model of a real castle. his model has a rectangular base that is 3 feet wide and 4 feet long.w
balu736 [363]
The area of the actual castle would be 388,800 sq. ft.

We would multiply each of the sides of the scale model both by 180 to find the side lengths of the actual castle.

So...
180 x 4 = 720
180 x 3 = 540

If Area is equal to Length Times Width, all thats left to do is to multiply the two sides together.

720 x 540 = 388,800

Hope this helped! :D
3 0
3 years ago
Together, teammates Pedro and Ricky got 2861 base hits last season. Pedro had 277 more hits than Ricky. How many hits did each p
PtichkaEL [24]

Answer:

Ricky 1292 Pedro 1569

6 0
3 years ago
Read 2 more answers
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