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3 years ago

9

Given: m∠A = m∠C = 90° AB ║ DC Prove: ∆ABD ≅ ∆CBD

1 answer:

Genrish500 [490]3 years ago

4 0

Answer:

Angle-Angle-Side (AAS)

Step-by-step explanation:

Given triangles; ΔABD and ΔCBD

<A = <C = $90^{0}$ (right angle property)

AB ║ DC (given)

Then,

DA ║ CB

<B ≅ <D (congruent property)

DB ≅ BD (similarity property)

<D + <B = <B + <D (complementary angles, and property of triangles)

Therefore by Angle-Angle-Side (AAS),

∆ABD ≅ ∆CBD

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Factor completely 3x^2 − 21

Firdavs [7]

The highest common factor of the two terms is 3, so that goes outside the bracket as 3(____). To get 3x^2, you multiply 3 by x^2, which is your first term in the bracket, and to get -21, you multiply 3 by -7, so your final answer is 3(x^2 - 7). I hope this helps!

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3 years ago

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What is -3/4+ 3 1/4 x 1 1/5

Sever21 [200]

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3 years ago

the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area

kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

$V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3$

The curved surface area of the cylinder is given by :

$A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2$

So, the volume is 1386 cm³ and curved surface area is 396 cm².

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3 years ago

What is 1 4/7 divided by 4 5/7<br> ANSWER THIS ASAP I ONLY HAVE 57 minutes LEFT PLEASE HURRY!!!!

kodGreya [7K]

Answer:

Step-by-step explanation:

$\frac{11}{7} * \frac{7}{33}$

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$\frac{1}{3}$

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4 0

4 years ago

A rectangular living room has a perimeter of 30 meters. Its area is 50 square meters. What are the dimensions of the living room

Rashid [163]

Answer:

The one of (L,b)= (5m, 10m) is the only correct answer.

Step-by-step explanation:

P= 2(L+b)

A= L×b

make b subject of formula in area we have;

b= A/L

in perimeter; p= 2(L +(A/L))

p= (L²+A)/L

pL= L²+A

L²-pL+A= 0

L²-30L+50=0

L²-25L-5L+50=0

L(L-25)-5(L-25)=0

(L-5)(L-25)= 0

L= 5 or 25m

substitute in A

50= 5b or 50= 25b

b= 10 or 2m

8 0

3 years ago