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charle [14.2K]
3 years ago
12

In HIJ∆ determine the measure of H∠ to the nearest degree.

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0
Use the law of sines. The sine of the given angle divided by its opposite side is equal to the sine of that unknown angle at the top left divided by the other given side (it's too small for me to read the diagram you provided). And remember, once you have two of the angles, start with 180, subtract the two angles that you do have and you will get the third angle.
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Question number 8. Prove that 3 + √5 is an irrational number.​
Marina86 [1]

Answer :

Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.

\\  \sf \: 3 +  \sqrt{5}  =  \frac{a}{b}   \\  \\   \qquad \: \tiny \sf{(where \:  \: a \:  \: and \:  \: b \:  \: are \:  \: integers \:  \: and \:  \: b \:  \neq \: 0)} \\

\\  \sf \:  \sqrt{5}  =  \frac{a}{b}  - 3 =  \frac{a - 3b}{b}  \\

Since, a, b and 3 are integers. So,

\\ \sf \:  \frac{p - 3b}{b}  \\  \\  \qquad \tiny \sf{ \: (is \:  \: a \:  \: rational \:  \: number \:) } \\

Here, it contradicts that √5 is an irrational number.

because of the wrong assumption that 3 + √5 is a rational number.

\\

Hence, 3 + √5 is an irrational number.

7 0
3 years ago
What is 212% in a decimal
4vir4ik [10]
The answer is:

212/100

=(200/100)+(12/100)

=2.00+0.12

=2.12
7 0
3 years ago
Read 2 more answers
Solve -44-7k=12+k answer quick please
nirvana33 [79]

Answer:

k = -7

Step-by-step explanation:

Solve for k:

-7 k - 44 = k + 12

Subtract k from both sides:

(-7 k - k) - 44 = (k - k) + 12

-7 k - k = -8 k:

-8 k - 44 = (k - k) + 12

k - k = 0:

-8 k - 44 = 12

Add 44 to both sides:

(44 - 44) - 8 k = 44 + 12

44 - 44 = 0:

-8 k = 12 + 44

12 + 44 = 56:

-8 k = 56

Divide both sides of -8 k = 56 by -8:

(-8 k)/(-8) = 56/(-8)

(-8)/(-8) = 1:

k = 56/(-8)

The gcd of 56 and -8 is 8, so 56/(-8) = (8×7)/(8 (-1)) = 8/8×7/(-1) = 7/(-1):

k = 7/(-1)

Multiply numerator and denominator of 7/(-1) by -1:

Answer: k = -7

7 0
3 years ago
Read 2 more answers
HELP PLEASE if I don’t turn this in it’ll make my grade drop to a 60% I will give brainiest to whoever answers this!
GenaCL600 [577]
2) Larger triangle is twice as large as the smaller one so x is 16
3) 16/12.8= 1.25 (This is the scale factor)
for y: 10/1.25=8
for x: 30/1.25=16
4) 8/6.4=1.25 (Scale factor)
for y: 14/1.25=11.2
for x: 15/1.25= 12
5) 22.5/9= 2.5 (scale factor)
for x: 12x2.5=30
for y: 35/2.5= 14
6) No because the scale factor is 2 but 14/8 does not equal to 2
7 0
2 years ago
Chris is saving money to buy a game. So far he has saved $12, which is two-thirds of the total cost of the game. How much does t
IrinaK [193]

Answer: $18

Step-by-step explanation:

hope this helps

7 0
2 years ago
Read 2 more answers
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