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Alexxandr [17]
3 years ago
6

In right triangle ABC a.30° b.45° c.60° d.75°

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

c

Step-by-step explanation:

30°+90°+x=180°  (the sum of interior angle of a triangle is 180°)

120°+x=180°

x=180°-120°

x=60°

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In a three-digit positive integer , if the hundreds digit cannot be 1 and the neighbor digits cannot be repetition, how many pos
andreev551 [17]

Answer:

Option (E) 648

Step-by-step explanation:

the 3 digit number can be represented by the blanks as " _ _ _  "

Now,

we have 10 choices ( i.e 0,1,2,3,4,5,6,7,8,9) available for each place in the blank if no condition is applied.

For the hundreds digit, using the conditions given in the question, we have 8 choices left

as 1 and 0 cannot be included in the hundreds place.

for the tens place

we will have 9 choices left out of 10 ( as 1 choice is less because we cannot have same number as on the hundred place )

similarly, for the ones place we have 9 choices left out of 10 ( as 1 choice is less because we cannot have same number as on the tens place )

Therefore,

Total possibilities = 8 × 9 × 9 = 648

Hence,

Option (E) 648

6 0
3 years ago
Randy chooses to survey every 5th student in the cafeteria. He surveys a total of 140 students and finds that 84 support buying
umka21 [38]

Answer: He can predict that 420 students will be in support of the purchase.

Step-by-step explanation:

Since Randy surveyed one student out of every 5 he came across in the cafeteria, it means that if he came across five people, he will survey one, if he came across ten students, he will survey 2 and so on.

If then he surveyed a total of 140 students, then we can actually multiply the number by 5 to know the exact number of students he possibly came across in the cafeteria:

= 140 × 5

= Total of 700 students

If 84 out of the surveyed students supported the purchase, we can find what that figure represents in the total number of students in the cafeteria:

84/140 = x/700

We cross multiply

140 × X = 84 × 700

140X = 58,800

X = 58,800/140

X = 420 students

Therefore, he can predict that 420 students out of a total of 700 students in the cafeteria will be in support of the purchase of the P.E equipment

7 0
3 years ago
What's greater 11/16 or 0.688?
KengaRu [80]
11/16..." / " means divide....= 0.6875
0.688

when comparing, if it makes it easier, line ur decimals up and put a zero in any empty spaces...

0.6875
0.6880 (this is the same as 0.688)

so the one that is bigger is : 0.688 <==
8 0
4 years ago
Help me plss
Anastasy [175]

Answer:

lilet is 7 and margie is 21?

Step-by-step explanation:

36-15=21

21÷3=7

21 would be Margies age since its the older age, maybe im wrong i dont know

8 0
3 years ago
A store is giving out cards labelled 1 through 10 when customers enter the store. If the card is an even number, you get a 10% d
frosja888 [35]

Answer:

Relative frequency for each discount :

10% - 0.4925, 20% - 0.3325, 40% - 0.175

Since only 33.25% of customers got 20% discount, it is not an appropriate method.

Step-by-step explanation:

relative frequency = number of frequency/total number of frequency

you can find out relative frequency for each number and add them up to get relative frequencies of discounts.

8 0
2 years ago
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