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blagie [28]
3 years ago
11

What is the value of x

Mathematics
2 answers:
Contact [7]3 years ago
6 0

Answer:

21°

Step-by-step explanation:

Since the interior angles of a triangle always add up to 180°, and you already know that one angle is 100°, you know that the sum of the remaining two angles is 80°. Therefore, you can set up an equation:

x° - 4 + 3x° = 80

x° + 3x° = 84

4x° = 84

x° = 21°

guajiro [1.7K]3 years ago
3 0

Answer:

x = 21°

Step-by-step explanation:

Total degrees in a triangle = 180°

180° - 100° = 80°

x° - 4 + 3x° = 80°

<u>Combine x values together:</u>

4x° - 4 = 80°

<u>Add 4 to each side:</u>

4x° = 84°

<u>Divide 4 from each side:</u>

x° = 84°/4° = 21°

Check your work:

21 - 4 + 3(21) = 80°

x = 21°

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Given the two functions, which statement is true?
tia_tia [17]

Answer:

Option D

Step-by-step explanation:

f(x) = \text{log}_{15}x

Transformed form of the function 'f' is 'g'.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Property of vertical stretch or compression of a function,

k(x) = x

Transformed function → m(x) = kx

Here, k = scale factor

1). If k > 1, function is vertically stretched.

2). If 0 < k < 1, function is vertically compressed.

From the given functions, k = \frac{1}{2}

Since, k is between 0 and \frac{1}{2}, function f(x) is vertically compressed by a scale factor \frac{1}{2}.

g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.

g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.

g(x) = \frac{1}{2}\text{log}_{15}(x+4)

Therefore, function f(x) has been shifted by 4 units left to form image function g(x).

Option D is the answer.

8 0
3 years ago
mike says 3/3 of his fraction model is shaded blue. Ryan says 6/6 of the same model is shaded blue . are the two fractions equiv
Jet001 [13]
Yes, they are equivalent.  Another equivalent fraction would be any fraction that equals to 1. Eg. 9/9
5 0
3 years ago
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Solve for p. 2(p + 1) = 16 What is the answer?
Mashutka [201]

Divide both sides by 2

p + 1 = 16/2

Simplify 16/2 to 8

p + 1 = 8

Subtract 1 from both sides

p = 8 - 1

Simplify 8 - 1 to 7

<u>p = 7</u>

4 0
3 years ago
Read 2 more answers
List the independent and dependent variable in the given relationship.
kaheart [24]
The independent variable is your input (x-value) and the dependent variable (y-value) depends on what the input is.

y = 10x

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x = number of lawns mowed

The first answer listed
4 0
3 years ago
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Question 10: Each tablet in a bottle of 30 costs the pharmacy $4.60. The pharmacy has additional costs including supplies and sh
valentinak56 [21]

The pharmacy should charge $201.6 for the entire bottle

Cost price refers the  price the seller bought the product

Selling price refers to the price the seller sells to the consumer.

Profit refers to the money earned by the seller above the cost price

Loss refers to the money paid by the seller above the cost price.

Profit= SP-CP

CP=30X$4.60=$138

TOTAL EXPENSES=$138+30X$1.40

                                = $180

FOR PROFIT OF 12%,the seller must sell in= $180(1+12/100)

                                                                         =$201.6

Therefore,the pharmacy should charge $201.6 for the entire bottle to make a profit of atleast 12%

Learn more about profit and loss,

brainly.com/question/19104371

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8 0
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