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MA_775_DIABLO [31]
3 years ago
8

{QuEsTiOn}" alt=" \huge \mathfrak \red{QuEsTiOn}" align="absmiddle" class="latex-formula">
What is Euclid's Division Lemma?

What is Thales Theorem? Prove it by explaining.

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OR ELSE YOU'LL BE REPORTED! ​
Mathematics
2 answers:
vodka [1.7K]3 years ago
4 0

Heyaaaa....here's ur answer ⤵️

Step-by-step explanation:

So, according to Euclid's division lemma, If we have two positive integers a and b, then there would be whole numbers q and r that satisfy the equation: a = bq + r, where 0 < r < b . a is the dividend. b is the divisor. q is the quotient and r is the reminder.

If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then other two sides are divided in the same ratio ...this is Thales theorem

HOPE IT HELPS U✌

trapecia [35]3 years ago
3 0

Answer:

1. In number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: Euclid's lemma — If a prime p divides the product ab of two integers a and b, then p must divide at least one of those integers a and b.

2. The Thales theorem states that: If three points A, B, and C lie on the circumference of a circle, whereby the line AC is the diameter of the circle, then the angle ∠ABC is a right angle (90°).

Step-by-step explanation:

hope it helps

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Help please: A bus and a train leave a station at the same time, t = 0. The graph shows the bus's distance to the next station o
Nonamiya [84]

Answer:

y = (5/2)x + 20

Step-by-step explanation:

Since the bus and train are both at the station at time 0, the y-intercept for the new equation is 20. That is one point on the new graph: (0,20) The question said that the train travels faster, that means it spends less time getting to the next station. The existing graph shows the bus got to the next station in 10 minutes, so maybe the train got there in 8 minutes. So another point on the graph is (8,0) We can use a slope formula to calculate the slope of a new line. Or just count squares on the graph (se image) to find the slope. Slope tells how steep a line is, whether the line is going up or down, but also the slope is like directions how to get from one point to another point on the line.

All you need to write an equation is the slope, m and the y-intercept, b and fill those two numbers into the formula y=mx+b Here slope is 5/2 and y-intercept is 20. So you get

y=(5/2)x +20

5 0
3 years ago
a specification for bottle filling has an upper limit of 9.16 ounces and a lower limit of 9.12 ounces. the process is stabilized
ivanzaharov [21]

Answer:

Process Capability ratio / Index = 0.133

Step-by-step explanation:

From the question, we are told:

Upper limit of 9.16 ounces

Lower limit of 9.12 ounces

Process width of 0.05 ounces.

what is the process capability ratio

Process Capability ratio or Index formula

= Cp = (USL - LSL)/(6 × Standard deviation)

Cp = 9.16 - 9.12/6 × 0.05

Cp = 0.04/0.3

Cp = 0.13333333333

Approximately = 0.133

7 0
3 years ago
Complete the following statements to prove that ∠IKL and ∠JLD are supplementary angles. It is given that ∠EIJ ≅ ∠GJI. Also, ∠EIJ
Dima020 [189]

Answer:

1st blank: substitution property of equality

2nd blank: linear pair theorem

3rd blank: substitution property of equality

Step-by-step explanation:

<u>1st blank</u>

∠EIJ ≅ ∠GJI (eq. 1)

∠EIJ ≅ ∠IKL (eq. 2)

∠GJI ≅ ∠JLK (eq. 3)

Substituting eq. 3 into eq. 1:

∠EIJ ≅ ∠JLK

and then, substituting eq. 2:

∠IKL ≅ ∠JLK

which means that m∠IKL = m∠JLK

<u>2nd blank</u>

The Linear Pair Theorem states that two angles that form a linear pair are supplementary

<u>3rd blank</u>

m∠JLK + m∠JLD = 180°

Substituting with the previous result:

m∠IKL + m∠JLD = 180°

6 0
3 years ago
Please help me answer this math question <br><br> 1/2(b-12)
Sever21 [200]

we have given an equation 1/2(b-12)

we need to simplify the given equation.

the distributive property is used here a(b+c)=ab+ac

1/2(b-12)=\frac{b}{12} -\frac{12}{2}

if we simplify the terms

we get \frac{b}{2} -\frac{6}{1}.

4 0
3 years ago
Read 2 more answers
Divide 1/4 and 2/3 and express the answer in simplest form
iren2701 [21]

Answer:

3/8

Step-by-step explanation:

It just is

3 0
2 years ago
Read 2 more answers
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