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Nady [450]
3 years ago
6

How would I prove the congruency of these triangles?

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

Step-by-step explanation:

In ΔADC & ΔABC,

Statement              Reason

AD = BC                 Given

∠DAC ≅ ∠ACB       {AB // BC , AC is transversal, ⇒ alternate interior                                     angles are equal}

AC = CA                   Reflexive property

ΔADC ≅ ΔABC         SAS congruent

AB = CD                 CPCT -> Corresponding Part of Congruent Triangles

Andre45 [30]3 years ago
3 0

Answer:

SAS

Step-by-step explanation:

<em>line </em>AB = <em>line</em> CD    S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

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Tell whether −2 is a solution of the inequality. 8−2x&lt;12
kolbaska11 [484]

Answer:

No

Step-by-step explanation:

8−2x<12

Subtract 2 from each side

8-8−2x<12-8

-2x <4

Divide each side by -2, remembering to flip the inequality

-2x/-2 >4/-2

x > -2

Is -2 a solution

-2 >-2

This is false, it is equal

5 0
3 years ago
The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,
galina1969 [7]

Answer:

Range = 13

Mean = 8.3

Variance = 17.61

Step-by-step explanation:

Given the population dataset :

2, 9, 15, 4, 12, 9, 13, 6, 3, 10

1.) Range : (maximum - minimum)

Maximum = 15 ; minimum = 2

Range = (15 - 2) = 13

2.) population mean (μ) :

μ = ΣX / n

n = sample size

μ = (2 + 9 + 15 + 4 + 12 + 9 + 13 + 6 + 3 + 10) / 10

μ = 83 / 10

μ = 8.3

3.) Population variance (s²)

Σ(x - μ)² / n

=[(2 - 8.3)^2 + (9 - 8.3)^2 + (15 - 8.3)^2 + (4 - 8.3)^2 + (12 - 8.3)^2 + (9 - 8.3)^2 + (13 - 8.3)^2 + (6 - 8.3)^2 + (3 - 8.3)^2 + (10 - 8.3)^2] / 10

s² = 176.1 / 10

s² = 17.61

8 0
3 years ago
Juan y sofi compraron 3kg de manzanas pagaron 65 pesos, cuanto pagaron por 1,5Kg y 10kg?
ElenaW [278]

Answer:

Step-by-s⭐Explicación paso a paso:

Aplicamos una regla de tres simple directamente proporcional, ya que entre mayor sea la cantidad de kilogramos comprados, mayor será la cantidad de dinero que se debe pagar por las manzanas (y viceversa).

 

Expresamos:

Kilogramos         Dinero ($)

    3                           20

   15                            x

 

x= (15 * 20)/3

x = 300/3

x = 100$

tep explanation:

8 0
3 years ago
Joseph has 15 pencils 3 of the pencils are blue. what fraction of the pencils are not blue​
Rudiy27

12/15. This is because 15-3 is 12. So this would equal 12/15. Sadly, you can not reduce this since 15 can’t be split into a whole number. Once again, the answer is 12/15 from what I believe..

6 0
4 years ago
Read 2 more answers
Debroha bought a computer for 25% off the list price. If the list price was 2428 how much did debroha spend
Dafna1 [17]

Answer:

1821

Step-by-step explanation:

nani

5 0
3 years ago
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