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steposvetlana [31]
3 years ago
8

If the supplement of an angle is two-third of itself ,then its supplement is

Mathematics
1 answer:
stich3 [128]3 years ago
5 0
( 'x' is not 144 .)
 
The supplement of an angle is (180 - x) .
The problem says that (2/3) of 'x' is equal to (180 - x) .

180 - x = 2/3 x

Multiply each side by 3 :
( Note:  3 x 180 = 540 .)

540 - 3x = 2x

Add 3x to each side:

540 = 5x

Divide each side by 5 :

<u>x = 108°</u> .
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yarga [219]
This would be.
-23√6 all over 6.
Or: around -9.39
5 0
3 years ago
At the hospital , nurse work 8 hour shifts . To have nurses work 8 hour shifts . To have nurses on duty 24 hours per day . How m
andrezito [222]
Answer: 21 shifts

Explanation:

If you want to have nurses on duty 24 hours a day 8 hours at a time, first divide 24 by 8. You get 3, which is the amount of shifts per day. Then multiply 3 by the amount of days in a week, 7, and get 21 shifts per week. Hope this helps!
6 0
3 years ago
Extension: Suppose that there is some positive number bb so that<br> logb(5) = 0.84.
Papessa [141]

Answer:

b = 6.79

Step-by-step explanation:

Data provided:

logb(5) = 0.84

Now,

From the properties of log function

logₓ (z)= \frac{\log(z)}{\log(x)}  (where the base of the log is equal for both numerator and the denominator)

also,

log(xⁿ) = n × log(x)

thus,

using the above properties, we can deduce the results as:

logₓ(y) = n is equivalent to y = xⁿ

Thus,

logb(5) = 0.84

⇒ \frac{\log(5)}{\log(b)} = 0.84

or

log(5) = 0.84 × log(b)

or

log(5) = \log(b^{0.84})                (as log(xⁿ) = n × log(x) )

taking the anti-log both sides

we get

5 = b^{0.84}

or

b = 6.79

8 0
3 years ago
The students in the Go Green dub started a whool recling program. In
OlgaM077 [116]

Answer:

Students collected

  • 85+255=340 pounds of paper;
  • 18+90=108 pounds of cans;
  • 340+108=448 pounds of paper and cans combined in September and October.

Step-by-step explanation:

In September, the students collected 85 pounds of paper and 18 pounds of cans to recycle.

In October, their goal is to collect three times the amount of paper and five times the amount of cans they collected in September.

Hence, in October they collected

  • 85\times 3=255 pounds of paper;
  • 18\times 5=90 pounds of cans.

In total, they collected

  • 85+255=340 pounds of paper;
  • 18+90=108 pounds of cans;
  • 340+108=448 pounds of paper and cans combined in September and October.
3 0
3 years ago
Help me please please
Wittaler [7]

Answer:

It is right

Step-by-step explanation:

Because the hypotenuse must be greater than all the legs, we have that 17 is the hypotenuse. So, we want to determine if 8^2+15^2=17^2.

8^2=8*8=64\\15^2=15*15=225\\17^2=17*17=289\\225+64=289\\

This means the triangle is indeed right!

6 0
3 years ago
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