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3 years ago

The measures of two angles in a triangle are 33 and 102 degrees

Mathematics

2 answers:

Goshia [24]3 years ago

8 0

Answer:

The third angle is 45 degrees

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

33+102 + x = 180

135+x =180

x = 180-35

x =45

The third angle is 45 degrees

lisabon 2012 [21]3 years ago

7 0

Answer:

The third angle is 45

SO all the angles inside of a triangle added up is 180

We have two sides

33+102=135

180-135=45

SO third angle is 45

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kap26 [50]

Answer:3 & 4

Step-by-step explanation: those are the two with multiplication/division

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3 years ago

What is 12/21 divided by 3/14

sladkih [1.3K]

To do this problem, you gotta cross-multiply. SO, $\frac{12}{21}$ multiplied by $\frac{14}{3}$

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3 years ago

A plumber charges $130 2 hours of work and $235 for 5 hours of workWhat is the of change in dollars per hour

kogti [31]

Answer:

235

Step-by-step explanation:

Figure the rates per hr.

110/3 = 36 2/3

160/5 = 32.

So, the rates are not the same.

Knowing a bit about plumbers, they normally charge a basic fee to just show up, and then they charge per hr.

In cases like these, where we're asked to project to a new data point (in this case an 8-hr job), you should immediately think of a graph. The x-axis would be the hours worked. The y-axis would be the charge for the work (the cost of the job).

We're given two pairs of values:

(3,110) and (5,160).

The next step is to fit a line to them.

y = mx+b is the general equation for a line.

m = the slope = rise/run = change in y / change in x

Call the change in y, dy (for delta y).

Call the change in x, dx (for delta x).

m = dy/dx = 50/2 = 25

The slope is thus 25, which means for each hour, the price goes up by $25. That means the plumber charges $25/hr.

We also know the plumber charges $110 for a 3-hr job. 3*25 = $75. So the base charge would be $110-75 = $35.

y = 25x + 35

Checking this formula at x=3, we know it is 110.