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4 years ago

HELP!!BRAINLIEST!! 9. Identify the congruent triangles in the figure.

Mathematics

1 answer:

LenKa [72]3 years ago

3 0

<h3>Answer: Choice A) triangle FDE = triangle IGH</h3>

There are 3 ways to label any triangle. We simply list 3 points in any order. Once we pick an order, the other triangle must follow that same pattern for the sides and angles to match up.

With choice A, we start at the bottom for both triangles (points F and I). For the triangle on the right, we go in counterclockwise direction to get F, D, then E. So we have FDE. The triangle on the left will go opposite this and we go clockwise: I to G to H. So we have IGH.

angle F = angle I

angle D = angle G

angle E = angle H

segment FD = segment IG

segment DE = segment GH

segment EF = segment GI

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Please answer this correctly

meriva

Answer:

33.3%

Step-by-step explanation:

The numbers greater than 6 from the spinner are 7 and 8.

2 numbers out of total 6 numbers.

2/6 = 1/3

= 0.333

= 33.3%

4 0

3 years ago

Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes di

quester [9]

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

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4 years ago

A loan shark lends you $50 at 3% compound interest per week (this is a weekly, not an annual rate.) Round your answers to the ne

shutvik [7]

Answer:

(a) Amount owed after 2 years is $ 1081.54

(b) The shark's vig is $ 1031.54

Step-by-step explanation:

(a)

The amount on a principal, P, after a period, T, at a compound interest, R, is given by

$A = P\left(1+\dfrac{R}{100}\right)^T$

From the question,

P = $ 50

R = 3% per week

T = number of weeks in 2 years = 2 × 52 = 104 (Assuming 52 weeks for each year)

$A = \$\,50\left(1+\dfrac{3}{100}\right)^{104} = \$\,50(1.03)^{104} = \$\,1081.54$

(b)

The shark's vig = $ 1081.54 - $ 50 = $ 1031.54

5 0

4 years ago

Y = 6 is the equation of a

Olegator [25]

Answer:

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Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

To prove that DEF congruent DGF by SAS,what additional information is needed

lisabon 2012 [21]

Answer:

∠DFE ≅ ∠DFG

Step-by-step explanation:

we know that

Triangles are congruent by SAS, if any pair of corresponding sides and their included angles are equal in both triangles

In this problem we have that

The pair of corresponding sides that are equal are

EF=GF and DF (is the same side for both triangles)

The included angle are ∠DFE and ∠DFG

therefore

The additional information needed to prove that triangles DEF and DGF are congruent by SAS is that angles ∠DFE and ∠DFG are equal

∠DFE ≅ ∠DFG

8 0

4 years ago

Read 2 more answers