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IgorC [24]
2 years ago
12

HELP ASAP PLEASE HELLPPPPPPP the triangles are similar. find the missing side length of x

Mathematics
2 answers:
o-na [289]2 years ago
7 0

Answer: I'm pretty sure its 78.

Step-by-step explanation:

27 x 1.5 = 18

52 x 1.5 = 78

notsponge [240]2 years ago
7 0

Answer:

x = 78

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

\frac{OD}{AP} = \frac{DT}{PN} , substitute values

\frac{27}{18} = \frac{x}{52} ( cross- multiply )

18x = 1404 ( divide both sides by 18 )

x = 78

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How many different four-digit numbers can be made using the digits 1,2,3,4,5,6 if no digit can be used more than once?
igomit [66]

Answer:

360

Step-by-step explanation:

The given digits are 1,2,3,4,5,6.

So, total number of digits = 6.

We need to find the number of different ways to form four-digit numbers using the digits, without repetition.

Total ways for first place = 6

After selecting 1 digit the number of remaining digits is 5. So,

Total ways for second place = 5

Similarly,

Total ways for third place = 4

Total ways for forth place = 3

Total number of ways = 6\times 5\times 4\times 3=360

Therefore, 360 four digit numbers are possible.

5 0
2 years ago
(25 points) A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The stan
zimovet [89]

Answer:

C = 0.65M+19.65

Step-by-step explanation:

Given the the standard charge S (in dollars) given by the function

S = 0.40M + 15.75, where M is the number of miles driven.

Also the insurance charge I (in dollars) is given by the function

I = 0.25M + 3.90

If C is the total charge (in dollars) for a rental that includes insurance, then:

C = S + I

Substitute the given function into the expression:

C = 0.40M + 15.75 + 0.25M + 3.90

Collect like terms

C = 0.40M+0.25M+15.75+3.90

C = 0.65M+19.65

<em>Hence an equation relating C to M is expressed as C = 0.65M+19.65</em>

7 0
2 years ago
How is jimthompson so smart?
Charra [1.4K]
The statement is valid. To set up a Euler diagram, follow these steps

Step 1) Draw a large circle and label it circle A

Step 2) Inside this large circle, draw a smaller circle and label it circle B

Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means. 

So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"

This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement. 
6 0
3 years ago
PLZ HELP I NEED IT ASAP!
DaniilM [7]

Answer:

4

Step-by-step explanation:

Since it is going up four and over one you would just simplify 4/1 to just being 4.

6 0
3 years ago
Read 2 more answers
George’s car can drive 30 miles on 1/2 gallon of gas. How many gallons of gas will he use to drive 20 miles?
SOVA2 [1]
The best way to do this is to set up a proportion

30       20
----  = -----
0.5      x

then cross multiply and divide

20 × 0.5 = 10/30=1/3

he needs 1/3 tank of gas to drive 20 miles

I hope I've helped!
8 0
3 years ago
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