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Wewaii [24]
3 years ago
11

Assuming these triangles are similar,solve for x.

Mathematics
2 answers:
alexgriva [62]3 years ago
7 0

Answer:

x = 7

Step-by-step explanation:

40/16 = 2.5 scale factor that it's being enlarged by. So, 16 x 2.5 =40

45/2.5 = 18

2x + 4 = 18

- 4 both side

2x = 14

÷2 both side

x = 7

UNO [17]3 years ago
3 0

Answer:

<h2>x=7</h2>

Step-by-step explanation:

all the difference between these polygons is that the left one is 2.5x bigger than the one on the right (I found this out by doing 40/16 which is 2.5)

so now I need to divide 45 by 2.5

45/2.5=18

Now I know that

2x+4=18

-4 from both sides

2x=14

divide by 2

x=7

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Six sprinters are racing in a 100-meter dash. How many different ways can a gold, silver, and
horrorfan [7]

Answer:

Step-by-step explanation:

Explanation

6 sprinters are in a race. Any one of the 6 could win. None of them can win 2 medals. So the first result is 6

5 runners remain. The second medal goes to any one of the 5

4 runners remain after 1 of the 5 have been choosen.  Any one of the 4 could win.

Answer 6 * 5 * 4 = 120

There are 120 ways of awarding 3 medals to 6 people.

3 0
2 years ago
1. A study of college freshmen found that students who watched TV for more than one hour each night gained 15 pounds in the firs
umka21 [38]

Answer:

C.  They most likely used an observational study asking students to keep track of their TV habits and weight.

A.  This is an experiment because a treatment was applied to a group.

Step-by-step explanation:

According to our question:

1. The study concluded that there is a relation between watching TV and the weight gain in college freshmen.

Now, this is possible when a group of college students were asked to participate to watch TV for more than 1 hour for a specific amount of time and have a record of their weights.

So, the study is an observational study where the habits and weights of college students were observed.

Hence, option C is correct.

2. The students were divided onto two groups where one group used the computer program and the other did not to check the improvement in the reading levels.

This means that the students were given a procedure to follow during the study in order to see the results..

So, the study is an experiment where a treatment is applied to the group of students.

Hence, option A is correct.

8 0
3 years ago
Read 2 more answers
30 points!!!
lara31 [8.8K]

Answer:

SAS postulate

Step-by-step explanation:

AD (common)

AC = BD (both are diameters)

Angle COD = Ange AOD (vertically opposite angles)

Angle CAD = Angle BAD (angle on the circumference is half the angle at the centre)

Therefore, ABD and DCA are congruent by SAS postulate

7 0
3 years ago
Lucas and his three brothers opened a bag with 48 cookies there are 16 cookies left if each boy ate the same number of cookies h
FrozenT [24]

Answer:

each boy ate 8 cookies

Step-by-step explanation:

48-16=32

32 divided by 4=8

so each of them ate 8 cookies

5 0
3 years ago
If you have a spinner with 5 slots, what is the compound probability of spinning an even number, then an odd number? Expressed a
Minchanka [31]

Since the spinner has 5 slots it contains 3 odd and 2 evens,

  • Odds ⇒ 1, 3, 5
  • Evens⇒ 2,4

this can be expressed as

\frac{2}{5} =\frac{x}{100}, cross multiply and we get

5x=200

x=40%

6 0
2 years ago
Read 2 more answers
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