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nataly862011 [7]
2 years ago
13

An angle measures 12 degrees less than three times its supplement. Find the measure of the angle.

Mathematics
1 answer:
Nimfa-mama [501]2 years ago
7 0

Supplementary angles must add up to 180 degrees.

3x-12=180

x=64 degrees


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A batch of snack mix made of dried fruit and nuts contain 744G of nuts the ratio of nuts to dried fruit by weight is 12 to 13 ho
Bezzdna [24]

In a bag of snack mix:

n = nuts       d = dried fruit

n = 744g        d = ???g

Ratio Nuts/Dried fruit = 12/13

This basically means that if the mix was divided in 25 parts, 12 parts would be nuts and 13 would be dried fruits

If 744 is 12 parts then 744/12 is 1 part

744/12 = 62

1 part = 62g

there are 13 parts of dried fruit

13 x 62 = 806

744g of nuts + 806g of dreid fruit = 1550g

Answer: A batch of snack mix weigh 1550g, or 1.55kg

hope it helps :)

6 0
3 years ago
Find the product. x3(x2+5x+1)
PtichkaEL [24]

Answer:

Answer = x5+5x4+x3

Step-by-step explanation:

x3(x2+5x+1)

=(x3)(x2+5x+1)

=(x3)(x2)+(x3)(5x)+(x3)(1)

=x5+5x4+x3

Answer = x5+5x4+x3

7 0
2 years ago
Triangle DEF is a right triangle. What is the measure of ZEFD?<br> D<br> 57°<br> F<br> E
creativ13 [48]

Answer:

<h3>                33°</h3>

Step-by-step explanation:

Sum of measures of angles in any triangle is 180°

The maesure of right angle is 90°

So:  m∠EFD = 180° - 90° - 57° = 33°

6 0
2 years ago
Stella divides 12/8 on her calculator and gets 1.5. Assuming that Stella has not adjusted the calculator's settings, what do the
Romashka [77]

Stella divided 12/8.

If we divide 12 by 8, we get exactly 1.5.

Let us check given options one by one .

A) Stella made an error : Stella didn't made an error because it's just division of two numbers.

B) The answer is exactly 1.5.  : On dividing 12 by 8, we get exactly 1.5, so this option is correct.

C) The calculator rounded the answer. : On dividing 12 by 8, we get exactly 1.5. So, no rounding is required.

D) The calculator truncated the answer. : On dividing 12 by 8, we get exactly 1.5. So, no truncation in the answer.

Therefore, correct option is B) The answer is exactly 1.5.

6 0
3 years ago
5.<br>Find the sum of all two - digit natural numbers which are divisible by 3.​
kykrilka [37]

Answer:

1665

Step-by-step explanation:

This is AP, where:

  • First term is: 12= 3*4
  • Last term is: 99= 3*33
  • Common difference is: 3
  • Number of terms is: 33- 3= 30 (because the 4th term is included)
  • S=1/2*30(12+99)= 1665

The sum of all two - digit natural numbers which are divisible by 3 is 1665

3 0
3 years ago
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