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Dmitriy789 [7]
3 years ago
11

Complete the two-column proof by providing the missing statements or reasons.

Mathematics
2 answers:
gogolik [260]3 years ago
5 0

Answer:

ABCD is equal to <= ad-bc-cd-ba

,><

Step-by-step explanation:

Fynjy0 [20]3 years ago
5 0

Answer:

Proof is stated below.

Step-by-step explanation:

Given: ABCD is a rhombus.

To Prove: <1 is congruent to <2.

Therefore,

Given: ABCD is a rhombus.

AD = BC = CD = BA: Definition of a parallelogram / rhombus ; four equal sides.

DO = OB ; AO = OC ; Diagonals of a parallelogram bisect each other.

Triangle DOC is congruent to BOA ; SAS (Side-Angle-Side) theorem.

<1 is congruent to <2 ; Definition of a parallelogram ; consecutive angles are supplementary.

Hence, proved.

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Drag the measurements to put them in order From least to greatest 7 g 7 kg seven centigrams 7 mg
Arturiano [62]

Answer:

7 mg, 7 centigrams, 7g, 7kg

3 0
3 years ago
A water tank holds 12 gallons. How many full buckets of water will it take to fill the tank, if each bucket has capacity 3 quart
liraira [26]

Answer:

4 full buckets

Step-by-step explanation:

there are 4 quarts in a gallon, but it only holds 3. 12 divided by 3 is 4.

Hope it helped!

4 0
2 years ago
Read 2 more answers
I Need Help With This One
Arisa [49]

Answer:

x = -6  x= -3

Step-by-step explanation:

f(x) = x^2+9x+18

Set equal to 0 to find the zeros

0 = x^2+9x+18

Factor, what numbers multiply to 18 and add to 9

6*3 =18

6+3=9

0= (x+6) (x+3)

Using the zero product property

x+6 =0   x+3 =0

x = -6  x= -3

7 0
3 years ago
A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.
yawa3891 [41]

Answer:

The probability is  0.003

Step-by-step explanation:

We know that the average \mu is:

\mu=500

The standard deviation \sigma is:

\sigma=100

The Z-score is:

Z=\frac{x-\mu}{\sigma}

We seek to find

P(x800)

For P(x>800) The Z-score is:

Z=\frac{x-\mu}{\sigma}

Z=\frac{800-500}{100}

Z=3

The score of Z = 3 means that 800 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

P(x>800)=0.15\%

For P(x<200) The Z-score is:

Z=\frac{x-\mu}{\sigma}

Z=\frac{200-500}{100}

Z=-3

The score of Z = -3 means that 200 is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%

So

P(x

Therefore

P(x800)=P(x800)

P(x800)=0.0015 + 0.0015

P(x800)=0.003

6 0
3 years ago
Xy has 10 pets: 4 dogs, 3 cats, 2 alpacas and 1 bunny. If he wants to arrange them in a row and make sure the pets are always gr
Anastaziya [24]

The number of ways pets can be arranged in group according to the species is  in a row 288 ways.

Pets can be grouped by permutation concept as follows.

Total number of pets = 10

Number of dogs = 4

Number of cats = 3

Number of alpacas = 2

Number of bunny = 1

The number of ways pets can be arranged in group according to the species in a row as,

⇒ (4!)(3!)(2!)(1!)

⇒ (24)(6)(2)(1)

⇒ 288

Hence we can conclude that the number of ways pets can be arranged in group according to the species in a row is 288 ways.

Learn more about permutation here

brainly.com/question/22444718

#SPJ4

8 0
2 years ago
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