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Veseljchak [2.6K]
3 years ago
11

Figure ABCD is a parallelogram.

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
A = C (congruent angles)

Then: 4p+12 = 36

Solve for p

4p = 36 - 12

4p = 24

4p/4 = 24/4

p = 6

Answer is going to be A.
raketka [301]3 years ago
6 0

Answer:

The value of p is 6

Step-by-step explanation:

Given : A Parallelogram ABCD with ∠C = 36° and ∠A = (4p + 12)°

To find : Value of p

Solution :

Refer the figure

We can see that ∠A and ∠C are opposite angles .

Now using the property of Parallelogram i.e. Opposite angles of Parallelogram are equal

Thus, ∠A = ∠C

⇒(4p + 12)° = 36°

⇒4p = 36-12

⇒4p = 24

⇒p = 24/4

⇒p = 6

Thus, The value of p is 6

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Please help me out and help me show work ??
DochEvi [55]

Answer:

23 is the smallest number

Step-by-step explanation:

Three consecutive numbers are numbers that come in a row. So if the first number is n then the next is n+1 and the following is n+2.

All together they add to 72.

So n + n+1 +n +2 = 72.

3n + 3 = 72

3n = 69

n = 23

8 0
3 years ago
Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 160 pounds of blended coffee beans selling for $4.97 per poun
jok3333 [9.3K]
Given:
let h be the high quality bean
let c be the cheaper bean

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 lbs

h = 160 - c
h = 160 - 60
h = 100 lbs

Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.
3 0
3 years ago
A rectangular-prism-shaped toy chest is 2m by 1m by 1m. A shipping crate is packed with 18 of these toy chests. There is no extr
Alika [10]
2*1*1= 2 m^3 per chest

2 m^3 per chest* 18 chests= 36 m^3 total

Final answer: 36 m^3
7 0
3 years ago
Read 2 more answers
Determine the amplitude or period as requested. Period of a y = - 1/3 * sin x - 1/3 pi/3 1/3 d 2pi
zysi [14]

Answer:

Period = 2\pi

Step-by-step explanation:

Given

y = -\frac{1}{3} * \sin(x - \frac{1}{3})

Required

Determine the period

A sine function is represented as:

y =A \sin(Bx + C) + D

Where

Period = \frac{2\pi}{B}

By comparing:

y =A \sin(Bx + C) + D and y = -\frac{1}{3} * \sin(x - \frac{1}{3})

Bx = x

So:

B = 1

So, we have:

Period = \frac{2\pi}{B}

Period = \frac{2\pi}{1}

Period = 2\pi

Hence, the period of the function is 2\pi

6 0
3 years ago
-54 - 7r = -5(-2 - 5r)
makkiz [27]
-54-7r=10+25r
-7r-25r=10+54
-32r=64
r=64/-32
r=-2
3 0
3 years ago
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