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wariber [46]
2 years ago
8

What is the slope for a line that passes through (2,5) and (6,7)?

Mathematics
2 answers:
Lady bird [3.3K]2 years ago
4 0

Answer:

1/2

Step-by-step explanation:

slope = (y-y1)/(x-x1)

= (7-5)/(6-2)

=2/4 = 1/2

kakasveta [241]2 years ago
4 0

Answer:

1/2

Step-by-step explanation:

Slope (m) =ΔYΔX=1/2=0.5θ

ΔX = 6 – 2 = 4ΔY = 7 – 5 = 2Distance (d) = √ΔX2 + ΔY2 = √20

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1. Based on the information given, can you determine that the quadrilateral must be a
zhenek [66]

<u>Solving Q1: Given BE = ED and AE = EC.</u>

Considering triangles ΔAED and ΔCEB;

1. AE = EC (given)

2. ∠AED = ∠CEB (vertical angles)

3. ED = EB (given)

ΔAED ≡ ΔCEB (Side-Angle-Side congruency of triangles)

∠DAE = ∠BCE and AD = BC (using CPCTC)

⇒ AD║BC (Converse of Alternate Interior angles theorem)


Similarly consider triangles ΔABE and ΔCDE;

1. AE = CE (given)

2. ∠BEA = ∠DEC (vertical angles)

3. BE = DE (given)

ΔABE ≡ ΔCDE (Side-Angle-Side congruency of triangles)

∠ABE = ∠CDE and AB = CD (using CPCTC)

⇒ AB║CD (Converse of Alternate Interior angles theorem)


Since we have AB║CD, AB = CD and AD║BC, AD = BC.

Therefore, quadrilateral ABCD is a parallelogram.

****************************************************************************************************

<u>Solving Q2: The parallelogram has the angle measures shown in the diagram.</u>

It is clearly visible that both the triangles are Isosceles triangles, so opposite sides in each triangle are equal.

Consider two triangles given in the problem, we have two sets of congruent angles and one included side is common in both triangles.

Using Angle-Side-Angle congruence of triangles, both the triangles would be congruent too.

Using CPCTC, we can say opposite sides of quadrilateral would be congruent.

Therefore, all sides in given quadrilateral are equal.

Hence, Given quadrilateral is a Rhombus.

7 0
3 years ago
Write the first four terms of a sequence given the recursive rule below: f (n) = f(n-1) -4, for all n &gt; 2 and f(1) =32
Mars2501 [29]
I don’t know I just want points bye hdhdjjdjddjdjdjjjfjtfjgktk
7 0
2 years ago
How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?
shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0
3 years ago
We have two fractions, 3/4 and 7/6 , and we want to rewrite them so that they have a common denominator (and whole number numera
gizmo_the_mogwai [7]

Answer:

12,24 etc

Step-by-step explanation:

4 and 6 both go into 12 evenly

4*3 = 12

6*2 = 12

12 is the least common denominator

We could also use 24

4*6 = 24

It is a common denominator, but not the least common denominator

We can use any multiple of 12

6 0
2 years ago
Does the inequality sing mean equals in an equasion
shtirl [24]
Here are the 4 inequality signs.

a < b     ---> a is less than b
a \le b    ---> a is less than or equal to b
a > b     ---> a is greater than b
a \ge b    ---> a is greater than or equal to b

For the second and fourth lines above, the two sides may or may not be equal.
For the first and third lines above, the two sides cannot be equal.

6 0
2 years ago
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