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mihalych1998 [28]

3 years ago

9

Best explained and correct answer gets brainliest!

1 answer:

mezya [45]3 years ago

3 0

The answer is B because C and D are not true. Angle-Angle theorem does not prove congruency. Hypotenuse-Leg does because having a hypotenuse means that the triangle is a right angle triangle, which means that 2 sides and an angle are congruent in the triangles. By Side-Side-Angle Theorem, the triangles are congruent.

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The base of a rectangle is 6cm longer than its height. The area of a rectangle is 91cm squared. What is the perimeter of the rec

r-ruslan [8.4K]

Width = 7cm

Length = 13cm

<u>Explanation:</u>

Area of rectangle = $91cm^{2}$

Let width of the rectangle = b ,

So, length = b+6

Area of rectangle = (length X width) - eqn 1

Putting the value of length and width in above equation 1,

$91cm^{2} = b (b+6)\\91 = b^{2}+6b\\b^{2} + 6b-91 = 0\\$

On solving the quadratic equation we get,

b = 7cm

So, width (b) = 7cm

and length = 7+6

l = 13cm

Hence,

Width = 7cm

Length = 13cm

6 0

3 years ago

Solve the proportional equation below 3/4 =2/v-2

Vinil7 [7]

For this case we have the following equation:

$\frac {3} {4} = \frac {2} {v-2}$

Resolving we have:

$3 (v-2) = 2 * 4\\3 (v-2) = 8$

We apply distributive property to the terms of parentheses:

$3v-6 = 8$

Adding 6 to both sides of the equation:

$3v = 8 + 6\\3v = 14$

Dividing between 3 on both sides of the equation:

$v = \frac {14} {3}$

ANswer:

$v = \frac {14} {3}$

3 0

3 years ago

Read 2 more answers

Translate 5 times the sum of 7 and n

11111nata11111 [884]

Answer:

5( 7+n)

Step-by-step explanation:

First find the sum

(7+n)

Then multiply by 5

5( 7+n)

4 0

3 years ago

Read 2 more answers

An investment firm invested in two companies last year. They invested $11,000

NeX [460]

(a) total profit
=11000*24%+14000*15%
=2640+2100
=$4740

(b) percent profit
=4740/(11000+14000)
= 0.1895
=18.96%

7 0

3 years ago

Find the surface area of a pentagon-based pyramid with slant height of 11 m.

Ronch [10]

Answer:

108.75 square meter.

Step-by-step explanation:

<h3>Surface area of pentagon based pyramid:</h3>

$\sf \boxed{\text{\bf Surface area of pentagonal pyramid = $ \bf \dfrac{5}{2}*b*(a + s)$}}$

Here, b is the base length of the pyramid. b = 3 m

a is the apothem of the pyramid. a = 3.5 m

s is the slant height of the pyramid. s = 11 m

$\sf Surface \ area = \dfrac{5}{2}*3*(11 + 3.5)$

$\sf = \dfrac{5}{2}*3*14.5\\\\ = 108.75 \ m^2$

5 0

1 year ago