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BlackZzzverrR [31]
1 year ago
14

17/21 and 5/6 as common denominators

Mathematics
1 answer:
kkurt [141]1 year ago
8 0

The common denominator between 17/21 and 5/6 is 42, so the fractions can be rewritten as common denominators: <u>34/42 and 35/42</u>.

<h3>How to express two fractions as common denominators?</h3>

Two fractions can be expressed as common denominators by finding the lowest common multiple of the denominators in the original fractions.

For instance, the lowest common multiple of 21 and 6 is 42 because both 21 and 6 can divide 42 without a remainder. In its expanded versions, 42 is 2 x 21 and 42 is also 7 x 6.

We can then multiply the numerator and denominator 17/21 by 2 to get <u>34/42</u> and the numerator and denominator 5/6 by 7 to get <u>35/42</u>.

Thus, 17/21 and 5/6 expressed as common denominators are <u>34/42</u> and <u>35/42</u>.

Learn more about common denominators at brainly.com/question/1098206

#SPJ1

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Answer:

82.8 for the strawberries

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Step-by-step explanation:

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2 years ago
I NEED HELP PLS!!!!
hram777 [196]

Answer:

15

Step-by-step explanation:

For these kind of problems, its best to use a Venn Diagram.

Lets break down the information:

<em>There are 50 students total.</em>

<em>25 take Math competiton classes.</em>

<em>29 take Geometry</em>

<em>12 take history and </em><em><u>no math classes</u></em>

<em>19 take </em><em><u>both math classes</u></em>

Now, make a Venn Diagram.

[Look at the photo attached. Also, the blank spaces in the Venn Diagram are ones that no student takes.]

The 12 taking history and no math classes and 3 kids not taking any of those classes look like they're the only ones not taking either math class.

12 + 3 = 15.

So the answer is 15.

[I'm not sure if this is correct or if I made a mistake so please let me know! Thank you! I hope this helps!]

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5 0
3 years ago
How do you prove each of the following theorems using either a two-column, paragraph, or flow chart proof?
lilavasa [31]

All the theorems are proved as follows.

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , three vertices and three angles.

1. The Triangle sum Theorem

According to the Triangle Sum Theorem, the sum of a triangle's angles equals 180 degrees.

To create a triangle ABC, starting at point A, move 180 degrees away from A to arrive at point B.

We turn 180 degrees from B to C and 180 degrees from C to return to A, giving a total turn of 360 degrees to arrive to A.

180° - ∠A + 180° - ∠B + 180° - ∠C = 360°

- ∠A - ∠B  - ∠C = 360° - (180°+ 180°+ 180°) = -180°

∠A + ∠B  + ∠C = 180°

(Hence Proved)

2. Isosceles Triangle Theorem

Considering an isosceles triangle ΔABC

with AB = AC, we have by sine rule;

\rm \dfrac{sinA}{BC} =  \dfrac{sinB}{AC} =  \dfrac{sinC}{AB}\\

as AB = AC

sin B = sin C

angle B = angle C

3.Converse of the Isosceles theorem

Consider an isosceles triangle ΔABC with ∠B= ∠C, we have by sine rule;

\rm \dfrac{sinA}{BC} =  \dfrac{sinB}{AC} =  \dfrac{sinC}{AB}\\

as  ∠B= ∠C ,

AB = AC

4. Midsegment of a triangle theorem

It states that the midsegment of two sides of a triangle is equal to (1/2)of the third side parallel to it.

Given triangle ABC with midsegment at D and F of AB and AC respectively, DF is parallel to BC

In ΔABC and ΔADF

∠A ≅ ∠A

BA = 2 × DA, BC = 2 × FA

Hence;

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Hence AC = 2×DF

5.Concurrency of Medians Theorem

A median of a triangle is a segment whose end points are on vertex of the triangle and the middle point of the side ,the medians of a triangle are concurrent and  the point of intersection is inside the triangle known as Centroid .

Consider a triangle ABC , X,Y and Z are the midpoints of the sides

Since the medians bisect the segment AB into AZ + ZB

BC into BX + XB

AC into AY + YC

Where:

AZ = ZB

BX = XB

AY = YC

AZ/ZB = BX/XB = AY/YC = 1

AZ/ZB × BX/XB × AY/YC = 1 and

the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).

To know more about Triangle

brainly.com/question/2773823

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8 0
1 year ago
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You can put it into expressions:
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