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2 years ago

For parallelogram ABCD, find the value of x. 3x + 20 B С A А D 5x – 12

Mathematics

1 answer:

Arlecino [84]2 years ago

4 0

Answer:

$x = 16$

Step-by-step explanation:

5x-12=3x+20

plus 12 both sides

5x=3x+32

-3x both sides

2x=32

divide by 2 both sides

x=16

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Which of the following relations is a function? A. (0, 4), (-2, 6), (0, 3), (-7, 2) B. (8, 1), (-2, 4), (0, 1), (8, 2) C. (0, 4)

fomenos

Answer: C

Step-by-step explanation:

C is a function because each of the inputs are distinct, meaning they only have one output each.

The other choices are not functions because at least one of the inputs corresponds to 2 or more outputs.

8 0

2 years ago

25 POINTS AND BRAINLIEST PLEASE HELP ASAP

dexar [7]

M is a midpoint of BC so:

$M=\left(\dfrac{\boxed{2}\boxed{a}+a}{\boxed{2}},\dfrac{\boxed{0}+b}{2}\right)=\left(\dfrac{\boxed{3}\boxed{a}}{\boxed{2}},\dfrac{\boxed{b}}{\boxed{2}}\right)$

Length of MA:

$MA=\sqrt{\left(\dfrac{\boxed{3}a}{2}\boxed{-}\boxed{0}\right)^2+\left(\dfrac{\boxed{b}}{2}\boxed{-}\boxed{0}\right)^2}=\\\\\\=
\sqrt{\left(\dfrac{\boxed{3}a}{\boxed{2}}\right)^2+\left(\dfrac{b}{2}\right)^2}=\sqrt{\dfrac{\boxed{9}a^2}{\boxed{4}}+\dfrac{\boxed{b}^2}{\boxed{4}}}$

Length of NB:

$NB=\sqrt{\left(\dfrac{a}{2}\boxed{-}\boxed{2}a\right)^2+\left(\dfrac{b}{2}\boxed{-}\boxed{0}\right)^2}=\\\\\\=\sqrt{\left(\dfrac{a}{2}\boxed{-}\dfrac{\boxed{4}\boxed{a}}{2}\right)^2+\left(\dfrac{b}{2}-\boxed{0}\right)^2}=\\\\\\
\sqrt{\left(\dfrac{-3a}{2}\right)^2+\left(\dfrac{b}{\boxed{2}}\right)^2}=\sqrt{\dfrac{\boxed{9}a^2}{\boxed{4}}+\dfrac{\boxed{b}^2}{\boxed{4}}}$

5 0

3 years ago

Read 2 more answers

sarah meeham blends coffee for tasti delight. she needs to prepare 160 pounds of blended coffee beans selling for $4.97 per poun

Viefleur [7K]

Given:
h = high quality bean ; costs 6 per pound
c = cheaper bean ; costs 3.25 per pound

160 pounds of blended coffee beans at 4.97 per pound

h + c = 160

6h + 3.25c = 160(4.97)
6h + 3.25c = 795.20

h = 160 - c

6(160-c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
- 2.75c = 795.20 - 960
- 2.75c = -164.80
c = - 164.80 / -2.75
c = 59.92 or 60 pounds

h = 160 - c
h = 160 - 60
h = 100 pounds

Sarah must blend 100 pounds of high quality bean and 60 pounds of cheaper bean.

3 0

3 years ago

Solve 4 over x plus 2 equals 2 over x for x and determine if the solution is extraneous or not.

shtirl [24]

X = 2, not extraneous.

5 0

2 years ago

Read 2 more answers

Two numbers are such that if 11 is added to the first number, a number twice

Bezzdna [24]

Answer:

The 2 numbers are 14 and 17.

Step-by-step explanation:

Let the 2 numbers be x and y.

x + 11 = 2y

x - 2y = -11...............A

y +20 = 2x

2x - y = 20 ...............B

Multiply equation A by -2:

-2x + 4y = 22............C

Adding B and C :-

3y = 42

y = 14.

Substitute y = 14 in equation A:

x - 2(14) = -11

x = -11 + 28

x = 17.

5 0

2 years ago