All categories

3 years ago

ABCD is a quadrilateral. ∥ , AB = BC = CD, AC = AD. Find m∠ADC

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

4 0

BD bisects both the angles ABC and ADE

<u>Step-by-step explanation</u>:

IN ΔABD and ΔCBD ,

AD = CD [ given ]

BD = BD [ Common ]

AB = BC [ given ]

ΔABD ≅ ΔCBD [ SSS ]

∠ABD = ∠1

∠CBD = ∠2

∠1 =∠2 [ CPCT ] ( by using congruence theorem)

Also ,

∠3 = ∠4 [ CPCT ]

Hence, BD bisects both the angles ABC and ADE

You might be interested in

Trevor pains 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence

Oksanka [162]

3 1/2 days to paint 3/4 of the fence.

6 0

4 years ago

The difference between an interval and a ratio scale is that a ratio scale _____, while an interval scale does not. A. uses equa

Sergeeva-Olga [200]

Answer: B.

Step-by-step explanation:

The ratio scale and interval scale are both based on a set of values with equal interval. However,the difference is that interval scale is based on an arbitrary zero while on the other hand ratio scale is based on absolute zero.

6 0

3 years ago

One peach weighs 65 grams. You buy a box containing 100 peaches. If the cost of peach per kilogram is AED.10, how much you have

svetlana [45]

Given:

Weight of one peach = 65 grams

Number of peaches in a box = 100

Cost of peach per kilogram is AED.10.

To find:

How much you have to pay?

Solution:

We know that,

Total weight of box = Weight of one peach × Number of peaches in a box

= 65 × 100

= 6500 grams

1000g = 1 kg

1 g = 0.001 kg

6500 g = 6500 × 0.001 kg

= 6.5 kg

Now,

Cost of 1 kg = AED.10

Cost of 6.5 kg = 6.5 × AED.10

= AED.65

Therefore, you have to pay AED. 65.

5 0

4 years ago

On a multiple choice test of 13 questions, each question has four (4) possible answers, one of which is correct. For students wh

xeze [42]

Answer:

i. $E(X) = 3.25$

ii. $\sqrt{V(X)} = 1.56$

Step-by-step explanation:

For each answer, there are only two possible outcomes. Either it is correct, or it is not. The probability of an answer being correct is independent of other answers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$