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Sveta_85 [38]
3 years ago
12

A quadrilateral has two consecutive angles that measure 90° each. Which of the following quadrilaterals could have this property

?
i. square

ii. rectangle

iii. parallelogram

iv. kite

v. rhombus

vi. trapezoid

A.

i, ii

B.

i, ii, iii

C.

i, ii, iii, iv

D.

i, ii, iii, v, vi

Mathematics
1 answer:
julia-pushkina [17]3 years ago
5 0
The diagram of each shape are shown below

The shapes that have two consecutive angles of 90° is square and rectangle, so the correct option is option A

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Alenkasestr [34]

Answer:

\frac{5}{6}

Step-by-step explanation:

The total number of squares is 36, and only 6 of them are shaded therefore, the remaining 30 are not shaded. The probability that a randomly selected square is not shaded would therefore be:

\frac{30}{36}  =  \frac{10}{12}  \\ =   \frac{5}{6}

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7 0
2 years ago
Mrs. Lane took a survey of the types of pants her students were wearing. She collected the data at the right. What percent of he
Nadya [2.5K]

Answer:

It is always important to go through the given problem first to get a concept of the requiremement. Then all the information's available from the question has to be noted down in such a manner that there would be no need to look at the question while solving.

Total number of students wearing jeans = 10

Total number of students wearing shorts = 9

Total number of students wearing capris = 2

Then the total number of students surveyed by Mrs Lane = (10 + 9 + 2)

                                                                                           = 21

Now percentage of students wearing shorts = (9/21) * 100

                                                                      = (3/7) * 100

                                                                      = 300/7

                                                                      = 42.85 percent

So a total percentage of 42.85% of the students were wearing shorts.

Step-by-step explanation:

6 0
3 years ago
How many ways can six of the letters of the word ALGORITHM be selected 8. How many ways can the letters of the word ALGORITHM be
SCORPION-xisa [38]
<h2>Answer with explanation:</h2>

The number of letters in word "ALGORITHM" = 9

The number of combinations to select r things from n things is given by :-

C(n,r)=\dfrac{n!}{r!(n-r)!}

Now, the number of combinations to select 6 letters from 9 letters will be :-

C(9,8)=\dfrac{9!}{6!(9-6)!}=\dfrac{9\times8\times7\times6!}{6!\times3!}=84

Thus , the number of ways can six of the letters of the word ALGORITHM=84

The number of ways to arrange n things in a row :n!

So, the number of ways can the letters of the word ALGORITHM be arranged in a be seated together in the row :-

9!=362880

If GOR comes together, then we consider it as one letter,  then the total number of letters will be = 1+6=7

Number of ways to arrange 9 letters if "GOR" comes together :-

7!=5040

Thus, the number of ways to arrange 9 letters if "GOR" comes together=5040

3 0
3 years ago
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