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vovangra [49]
3 years ago
7

ABCD is a parallelogram. Find the measure of AD

Mathematics
1 answer:
ankoles [38]3 years ago
4 0

Answer:

23

Step-by-step explanation:

  1. AD=BC
  2. 3y-1=y+15
  3. 3y-y=15+1
  4. 2y=16
  5. y=8

  1. AD=3y-1
  2. =3(8)-1
  3. =23

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Rashad has 24 jolly ranchers and 56 blow pops. what is the largest number of snack bags he could make?
mixas84 [53]

To find out the largest number of snack bags that Rashad could make, we need to find the GCF of 24 and 56

Because,

GCF of 24 and 56 is the largest possible number that divides 24 and 56 exactly without any remainder. The factors of 24 and 56 are 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 4, 7, 8, 14, 28, 56 respectively.

There are 3 commonly used methods to find the GCF of 24 and 56 - long division, Euclidean algorithm, and prime factorization.

By Prime factorisation :

Prime factorization of 24 and 56 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 7) respectively.

As visible, 24 and 56 have common prime factors. Hence, the GCF of 24 and 56 is 2 × 2 × 2 = 8.

By Euclidean algorithm :

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y) where X > Y and mod is the modulo operator.

Here X = 56 and Y = 24

  • GCF(56, 24) = GCF(24, 56 mod 24) = GCF(24, 8)
  • GCF(24, 8) = GCF(8, 24 mod 8) = GCF(8, 0)
  • GCF(8, 0) = 8 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 24 and 56 is 8.

By Long division :

GCF of 24 and 56 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

  • Step 1: Divide 56 (larger number) by 24 (smaller number).
  • Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (24) by the remainder (8).
  • Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (8) is the GCF of 24 and 56.

Hence,

Hence,Rashad can make 8 snack bags

Learn more about GCF at : brainly.com/question/11444998

#SPJ4

8 0
1 year ago
What is (-2)( 3 4/7)<br><br> A)-7 1/6<br><br> B)-6 6/7<br><br> C)-2 3/7<br><br> D)-1 2/7
Elan Coil [88]

Answer: The answer is most likely A.

Step-by-step explanation:

The expression (-2) x (3 4/7) is equal to:

-50/7 (exact form)

-7.14285714286 (decimal form)

-7 1/7 (mixed number form)

6 0
2 years ago
At a particular music store, CDs are on sale at $11.00 for the first one purchased and $9.00 for each additional disc purchased.
Mrac [35]
The answer is 7, 7 cds were purchased, hope this helps have a great day!
6 0
3 years ago
Find the slope between the two given points in questions 3-4.
Sophie [7]
I think you have to figure out the gradient, so you take the 2 points and put it into the equation
change in y divided by change in x aka
y2-y1/x2-x1

so for question 3:
y2=4 and y1=3
(taken from the first and second coordinates)
x2=3 and y1=7
put these values jnto the equation
4-3/3-7 = 1/-4 (can be written as negative 1/4)

for question 4 its the same thing:
y2=9 and y1=5
x2=4 and x1=2
put into equation
9-5/4-2 = 4/2

hope this helps, im also hoping your teacher already has taught this because i didnt go into detail of where the equation came from, if not ask me and ill gladly help X
3 0
3 years ago
Read 2 more answers
If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcome
azamat

Answer:

Outcomes: S = {1, 2, 3, 4, 5, or 6}

The outcomes of rolling a single die are equally likely.

Step-by-step explanation:

A single fair die has six faces. Each face has dots on it, numbered {1, 2, 3, 4, 5, or 6}.

On rolling the die the possible outcomes are:

S = {1, 2, 3, 4, 5, or 6}

Thus, there are a total of 6 possible outcomes.

Equally likely events are events that has the same probability of happening.

For example, if events <em>A</em> and <em>B</em> are equally likely then <em>P </em>(<em>A</em>) = <em>P </em>(<em>B</em>).

The outcomes of rolling a die are equally likely because the probability of any of the 6 faces showing up are same, i.e.  

P(1) = P(2)=P(3)=P(4)=P(5)=P(6)=\frac{Favorable\ outcome}{Total\ no.\ of\ outcomes}=\frac{1}{6}

Thus, the outcomes of rolling a single die are equally likely.

5 0
3 years ago
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