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2 years ago

Show that KLPQ is a parallelogram

Mathematics

1 answer:

Alex787 [66]2 years ago

5 0

Step-by-step explanation:

m = 14, n = 12.5

m<L = (5m + 36)° = (5(14) + 36)°

L = 106°

m<p= (6n-1°)=(6x12.5-1°)

p=74°

m<Q = (4m + 50)° = (4(14) + 50)°

Q = 106°

k=360°-(106°+74+°106°)=360°-286°

k=74°

The sum of the interior angle of a parallelogram is 360°

The opposite side of a parallelogram are equal.

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A local movie theater sells two bag sizes of popcorn. Both bags are in the shape of a rectangular prism. Bag A measures 4" long,

Natali5045456 [20]

Answer:

the height of bag b is 7

Step-by-step explanation:

first, find the volume of bag a.

volume formula:

length * width * height = volume

length = 4

width = 3.5

height = 6

substitute the values into the formula

4 * 3.5 * 6 = volume

84 = volume

the volume of bag A is 84

next, find the height of bag b

volume formula:

length * width * height.

length = 8

width = 3

volume = 168 (84 * 2)

8 * 3 * h = 168

24h = 168

24h/24 = 168/24

h = 168/24

h = 7

the height of bag B is 7

8 0

3 years ago

Evaluate the power: (−3)^4 A. 81 B. -81 C. 243 D. -331

Agata [3.3K]

Answer:

The answer is 81.

Step-by-step explanation:

Since the power of 4 is even, the result will be positive.

${3}^{4}$

Simplify.

$81$

hence, the answer is Option A) 81.

7 0

3 years ago

Read 2 more answers

1. Find the value of x. 55° (4x - 5)° O 26 O

Paha777 [63]

Answer:

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

-50 - 50

5x = 130

/5 /5

x = 26

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo

svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

$a^x \times a^y = a^{x+y}$

In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : $a^x = a^y$ ⇒ $x = y$ [∵ Bases are equal on both the sides]

__________________________________________________________

$4 \times 8^{2x+1} = 32^{x+2}$

Lets express it in terms of 2.

$=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}$

$=> 2^2 \times 2^{6x+3} = 2^{5x+10}$

$=> 2^{2 + 6x+3} = 2^{5x+10}$

$=> 2^{6x+5} = 2^{5x+10}$

Here the bases on both the sides are equal. Hence ,

$=> 6x + 5 = 5x + 10$

$=> 6x - 5x = 10 - 5$

$=> x = 5$

6 0

3 years ago

Solve 2x2 – 6x + 10 = 0 by completing the square.

Ugo [173]

Answer:

Step-by-step explanation:

2x^2-6x+10=0

2(x^2-3x)+10=0

2(x-(3/2))^2-9/4)+10=0

2(x-(3/2))^2+10-9/2=0

2(x-(3/2))^2+(20-9)/2=0

2(x-(3/2))^2+11/2=0

2(x-(3/2))^2=-11/2

square is always positive so there is no solution

5 0

3 years ago