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horrorfan [7]
2 years ago
9

An Angle has a measure of (5x + 7) and another angle has a measure of 2x + 54. Together they form a linear pair. Find the measur

e of the smaller angle.
Mathematics
1 answer:
IrinaK [193]2 years ago
3 0
The measure of the smaller angle is 88 degrees. Since both angles are a linear pair, this means that they form a 180-degree angle when added together. So, form the equation 5x+7+2x+54=180. Then combine like terms on the left side to get 7x+61=180. Subtract 61 from both sides to get 7x=119. Lastly, divide both sides by 7 to get x=17. To find the smaller angle, substitute 17 for x to get each of the angles' measures. The angle 2x+54 is equivalent to 88 degrees while the angle 5x+7 is equivalent to 92 degrees.
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The mean length of 6 childrens' big finger is 12.6cm.
malfutka [58]

14.94 cm ( to 2 dec. places )

We require the sum totals of the 2 groups before calculating the mean of all 14

using mean = \frac{sum}{count}

Children's sum

12.6 = \frac{sum}{6}( cross-multiply )

sum = 6 × 12.6 = 75.6

Adult's sum

16.7 = \frac{sum}{8}( cross- multiply )

sum = 8 × 16.7 = 133.6

Total sum of all 14 = 75.6 + 133.6 = 209.2

mean = \frac{209.2}{14} = 14.94 cm


8 0
3 years ago
Which term is defined as the distance from the center of a circle to any point on the circle?
zhenek [66]
The term that is defined as the distance is the raduis.
8 0
2 years ago
Read 2 more answers
A box of pencils costs $10.The total cost (c) as a function of the number of boxes (b) is expressed as c = f(b) = 10b. What is t
denpristay [2]

Answer:

All positive integers and zero

A is correct

Step-by-step explanation:

A box of pencils costs $10

The total cost (c) as a function of the number of boxes (b) is expressed as

c = f(b) = 10b

The function, f(b) = 10b

b is independent variable and c is dependent variable.

For any function find domain using independent variable.

b represents number of boxes.

Number of boxes neither be negative nor decimal.

Possible value of b: {0,1,2,3,4,5,.......}

All positive integers and zero.

Domain: All positive integers and zero

3 0
3 years ago
20 points (looking for the reasoning) Jayden and Sheridan both tried to find the missing side of the right triangle.
barxatty [35]

Answer:

Step-by-step explanation:The problem is very hard to read.  When using exponents, please add the "^" in front.  For example, is 132 actually 132, or is it 13^2?  The right triangle is not shown, so we really don't know which is the hypotenuse. Also be carefull with spacing.  Making some assumptions, here is how the answer might look:

Both have the correct formula:  a^2 + b^2 = c^2, assuming c is the hypotenuse.

If c is the hypotenuse, then the expression should be:

7^2 + b^2 = 13^2, or

49 + b^2 = 169

I like Sheridan's answer.  So let's continue:

49 + b^2 = 169

b^2 = 169-49

b^2 = 120

b = 10.954 . . .

Yep, I'm on Sheridan's side.  [That is, unless 72 is 72 and not 7^2, etc.]

5 0
2 years ago
What are 2 different equivalent forms using the distributive property for 5x57
vitfil [10]

285 is the correct answer

Work add 5 to ur sum every time u count with finger (only works if you have 57 fingers)

3 0
3 years ago
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