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3 years ago

Which postulate proves that △JML and △JKL are congruent?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

7 0

JL is a side that is common to both triangles. It is congruent to itself.

The diagram marks side JM as congruent to side JK (using a single hash mark).

The diagram marks side ML as congruent to side KL (using a double hash mark).

Thus, we have JL ≅ JL, JM ≅ JK, and ML ≅ KL. Three sides of one triangle are congruent to three sides of the other triangle, so the SSS postulate applies. We only need to make sure that the sequence of letters describing the two triangles is appropriate.

We know that J corresponds to J, L corresponds to L, and M corresponds to K. This means when we describe one triangle as ∆JML, we must describe the congruent triangle as ∆JKL. (Corresponding letters are in the same order.) That is how the problem statement describes the two triangles, so we conclude ...

... ∆JML ≅ ∆JKL by the SSS postulate

SIZIF [17.4K]3 years ago

3 0

Answer is 1 SSS
hope it help you....
bcoz of in ∆jml and∆jkl
JM=JK(given)
MJ= KJ (given in figure)
and,LJ=LJ (common)
so , criteria 1 is correct sss

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Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?

skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

1 yard = 3 foot

4 1/2 yard = y

cross-multiply

y = 4 1/2 × 3

=9/2 × 3

y = $\frac{27}{2}$ feet

This implies 4 1/2 yards = $\frac{27}{2}$ feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet = 1 banner

$\frac{27}{2}$ feets = x

cross multiply

1 3/8 × x = $\frac{27}{2}$

$\frac{11x}{8}$ = $\frac{27}{2}$

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

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3 years ago

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Gre4nikov [31]

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To find this answer we need to first find the total cost for using square tiles, and the cost for using rectangular tiles, and compare them. We can do this by finding the area of each tile individually, calculating how many tiles we would need, and multiplying this by the cost for one tile:

Square tiles:

The area of one square tile is 1/2 × 1/2 = 1/4 ft. Therefore we need 40 ÷ 1/4 = 160 tiles. If each tile costs $0.45, this means the total cost will be $0.45 × 160 = $72

Rectangular tiles:

The area of one rectangular tile is 2 × 1/4 = 2/4 = 1/2 ft. Thus we need 40 ÷ 1/2 = 80 tiles. Each tile costs $0.80, so the total cost will be 80 × $0.80 = $64.

This shows us that the rectangular tiles will be cheaper by $8.

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2 years ago

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iogann1982 [59]

Step-by-step explanation:

20x+5=24x-1

4x=6

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2 years ago

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natulia [17]

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2 years ago

What are the coordinates of the centroid of a triangle with vertices D(0,1),E(2,6), and F(7,2) enter your answer in the boxes

Daniel [21]

The coordinates of centroid of given triangle are: (3,3)

Step-by-step explanation:

Given

D(0,1) = (x1,y1)

E(2,6) = (x2,y2)

F(7,2) = (x3,y3)

The centroid of a triangle when the vertices are known is given by:

$C = (\frac{x_1+x_2+x_3}{3} , \frac{y_1+y_2+y_3}{3})$

Putting the values

$C = (\frac{0+2+7}{3} , \frac{1+6+2}{3})\\C = (\frac{9}{3} , \frac{9}{3})\\= (3,3)$

Hence,

The coordinates of centroid of given triangle are: (3,3)

Keywords: Triangle, centroid

Learn more about triangles at:

#LearnwithBrainly

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