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3 years ago

AB = 3 + x

1 answer:

6 0

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

Step-by-step explanation:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

AB and DC are opposite sides and have same measure of length.
AD and BC are opposite sides and have same measure of length.

To find the length of AB and DC :

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

To find the length of AD and BC :

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

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A student repeats the process of taking blocks out of a bag and replacing them 100 times. A green block is drawn 67 times. What

Alexeev081 [22]

Using it's concept, it is found that a good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

<h3>What is a probability?</h3>

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, to get a good estimate, we get the probability taking the outcomes from the sample, that is, 67 green blocks out of 100 blocks, hence:

p = 67/100 = 0.67.

A good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

More can be learned about probabilities at brainly.com/question/14398287

5 0

2 years ago

What is the area of the figure? Enter your answer in the box.

Andre45 [30]

Answer:112

Step-by-step explanation: 10 times ten = 100

4 times 6 = 24

24 divided by 2= 12

100+12 = 112

5 0

3 years ago

Read 2 more answers

Weights of different sandwiches in two lengths are shown in the table.

Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

6-inch Roll 12-Inch Roll

Cheese sandwich $\frac{1}{4}$ $\frac{3}{4}$

Chicken salad sandwich $\frac{3}{4}$ $1\frac{3}{4}$

Egg salad sandwich $\frac{2}{3}$ $1\frac{1}{3}$

For cheese sandwich proportion

$\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16$

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

$\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}$

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich proportion

$\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9$

So, egg salad sandwich is proportional to its length

6 0

2 years ago

Lucy borrowed $425 from Colleen. Colleen charges Lucy 5.3% interest if Lucy pays Colleen back in 3 years how much does she pay C

Sonja [21]

Answer: Lucy pays $ 492.58 back altogether.

Step-by-step explanation:

Formula : Interest = Principal x Rate x Time

Given: Principal = $425 , rate = 5.3% = 0.053 , time = 3 years

Interest = 425 x 0.053 x 3 ≈ $ 67.58

Total amount need to pay back = Principal + Interest

= $ (425+67.58)

= $ 492.58

Hence, Lucy pays $ 492.58 back altogether.

7 0

2 years ago

What is the smallest possible whole number value of x

Pepsi [2]

Answer:

Absolutely anything! It all depends on what the equation is. Variables can be any number with exception of 0 As a denominator. Otherwise pick anything as long as the end results come out to the number you are seeking.

5 0

3 years ago