Can someone show me the steps for solving. I had help but I'm confused.

Mathematics

2 answers:

Gemiola [76]3 years ago

8 0

If i'm not mistaking, the value of the missing angle should be 65 degrees and i got this by subtracting 70 and 45 from 180 (180 is the total value of angles in a triangle) and i got 45 by dividing the right angle into 2. So we have 180-45-70= 65.
I hope it helps

Dafna1 [17]3 years ago

7 0

The sum of angles in any triangle is 180° So the missing angle in the bottom triangle is:

180-76-54=50°

Now that right angle (the square) is bisected by this 50° so the bottom angle of the inverted upper triangle is 90-50=40°

And again, because the sum of angles in a triangle is always 180°. The missing angle in the inverted triangle the "?" is:

180-70-40=70°

So "?"=70°

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Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Maru [420]

A) System of inequalities

Income from babysitting: 6x
Income from tutoring: 10y

Goal for this week: at least $ 75 => 6x + 10y ≥ 75
Number of hours: maximum $20 => x + y ≤ 20

x and y have to be zero or positvie => x≥0 and y ≥ 0

Answer of part A.

6x + 10y ≥ 75
x+y ≤ 20
x ≥ 0
y ≥ 0

Part B. Graph

The solution is a region closed by 4 lines and you can find it in the file attached.

In that graph:

1) the line x + y = 20 is the upper limit
2) the line 6x + 10 y = 75 is the lower incclined line
3) y = 0 is the botton horizontal line it is the x-axis
4) x = 0 is the left vertical line, in is the y-axis

Part C.

Use, for example the point (7,10).

It is in the region of the graph limited by the above equations.

It implies:

Number of hours worked = 7 + 10 = 17 which is less than 20.

Income: 6(7) + 10(10) = 42 + 100 = 142, which is greater than 75

Of course, both are greater than 0.

In this way we proved that the point (7,10) is a true solution for the model.

Download pdf

8 0

3 years ago

Which value is equivalent to

Ksenya-84 [330]

Answer:

$\frac{25}{144}$