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Rainbow [258]
2 years ago
11

The third angle of an isosceles triangle is 16 o less than the sum of two equal angles. Find

Mathematics
1 answer:
vodka [1.7K]2 years ago
6 0

Answer:    49°, 49°, 82°

<u>Step-by-step explanation:</u>

Let x represent the base angles

then 2x - 16 is the vertex angle.

Triangle Sum Theorem states that the sum of the angles is 180°

(x) + (x) + (2x - 16) = 180

                 4x - 16 = 180

                       4x = 196

                         x = 49

Base angles: x = 49

Vertex angle: 2(49) - 16 = 82

                                   

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     <span> here
7 7/8
= [ (8*7) + 7 ] / 8
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=63 / 8

similarly,
3 1/4
=[ (4*3) + 1] / 4
= (12 + 1) / 4
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now put the values
7 7/8 - 3 1/4
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3 years ago
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3 years ago
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday
Debora [2.8K]

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

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The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

8 0
3 years ago
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3 0
3 years ago
Which of the following sets of possible side lengths does not form a triangle
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Answer:

<h2>b) 4,5,15</h2><h2 />

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in fact this work with cases a) ,c) and d)

but not b)

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3 0
3 years ago
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