Are the two right triangles trs and wuv congruent? If so name the congruence postulate that applies

1 answer:

8 0

<span>Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.<span> The right triangles trs and wuv are congruent when they have equal lengths of the sides and having equal sides, angles should as well be equal with the two triangles.</span></span>

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Can someone answer these questions ? thank you

Naya [18.7K]

Answer:

Step-by-step explanation:

12a)To rationalize the denominator, multiply the denominator and numerator by √5.

$\frac{15}{\sqrt{5}}=\frac{15*\sqrt{5}}{\sqrt{5}*\sqrt{5}}\\\\=\frac{15\sqrt{5}}{5}\\\\=3\sqrt{5}$

b) (a+b)² = a² + 2ab + b²

(1 +√3)² = 1² + 2*1*√3 + (√3)²

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= 4 + 2√3

a = 4 ; b =2

13) (a + b)(a - b) = a² - b²

$\frac{(6-\sqrt{5})(6+\sqrt{5})}{\sqrt{31}}=\frac{6^{2}-(\sqrt{5})^{2}}{\sqrt{31}}\\\\ =\frac{36-5}{\sqrt{31}}\\\\=\frac{31}{\sqrt{31}}\\\\=\frac{31*\sqrt{31}}{\sqrt{31}*\sqrt{31}}\\\\=\frac{31\sqrt{31}}{31}\\\\=\sqrt{31}$

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10=1+9 1x9=9
=2+8 2x8=16
=3+7 3x7=21
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Ans: 25 square feet

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3 years ago

What is the perimeter of a rectangle with a length of 23 mm and a width of 26mm

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Answer:98mm

Step-by-step explanation:

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2 years ago

What value of x will make ONM similar SRQ by the SAS similarity theorem?

Marta_Voda [28]

Answer:

The correct answer is 25

Step-by-step explanation:

See the attached figure.

SAS similarity theorem mean that when two triangles have corresponding angles are congruent and corresponding sides with identical ratios the triangles are similar.

So, if ΔONM similar ΔSRQ by the SAS similarity theorem

∴∠N = ∠R

And

$\frac{NM}{RQ} =\frac{NO}{RS}$