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ANEK [815]
3 years ago
11

Find the measure of angle ABC. Round to one decimal place.

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
M<ABC= (AD+CE)/2=(100+45)/2=145/2
m<ABC=72° 30'
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Nimfa-mama [501]

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6 0
3 years ago
John is joining a gym. There is a membership fee of $25 per month and a fee of $2 per workout class he attends. Given this infor
skad [1K]

Answer:

Input variable x: Number of classes he attends.

Output variable y: Monthly cost

Slope: Cost per class, of $2

y-intercept: Membership fee, of $25.

Function: y = 2x + 25

Step-by-step explanation:

This situation can be represented by a function is the following format:

y = mx + b

In which y is the monthly cost(output), m is the cost per class(slope), x is the number of classes he attends(input) and b is the membership fee(y-intercept).

We have that:

There is a membership fee of $25 per month and a fee of $2 per workout class he attends.

This means that b = 25, m = 2. So

y = 2x + 25

6 0
2 years ago
Which linear equations have an infinite number of solutions? Check all that apply.
ladessa [460]

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

8 0
3 years ago
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An electric pole, 14 metres high, casts a shadow of 10 metres. Find the height of a tree that Casts a Shadow of 15 metres under
kodGreya [7K]

Answer: The height of the tree will be 21 meters

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3 years ago
What is the product of 5 and 2/3
alukav5142 [94]
The product of 5 and 2/3 is 5.6666
5 0
2 years ago
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