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NISA [10]
3 years ago
8

In the diagram above​

Mathematics
1 answer:
Reil [10]3 years ago
4 0

Answer:

<h2>40°</h2>

Step-by-step explanation:

We have parallel lines.

Angles 1 and 2 are alternate angles.

With parallel lines, alternate angles are congruent.

Therefore

m\angle1=m\angle2

m\angle1=2x+20,\ m\angle2=3x+10\\\\2x+20=3x+10\qquad\text{subtract 20 from both sides}\\\\2x+20-20=3x+10-20\\\\2x=3x-10\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\2x-3x=3x-3x-10\\\\-x=-10\qquad\text{change the signs}\\\\x=10\\\\m\angle1=2(10)+20=20+20=40

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Stefan sells Jim a bicycle for $175 and a helmet for $17. The total cost for Jim is 160% of what Stefan spent originally to buy
Nady [450]

Answer:

Stefan spend $120 originally.

Stefan made $72 by selling bicycle and helmet to Jim.

Step-by-step explanation:

Given:

Cost of bicycle = $175

Cost of Helmet = $17

Percent of total cost of Jim = 160% of original cost of Stefan

We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.

Solution:

Let the Amount Stefan spend originally be 'x'.

Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.

framing in equation form we get;

Total Cost of Jim = 175+17 =\$192

Now we know that;

Total Cost of Jim is equal to 160% of  Amount Stefan spend originally.

framing in equation form we get;

192 = \frac{160}{100}\times x\\\\192 =1.6x

Dividing both side by 1.6 we get;

\frac{192}{1.6}=\frac{1.6x}{1.6}\\\\x= \$120

Hence Stefan spend $120 originally.

Now we can say that;

Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.

framing in equation form we get;

Money Stefan made = 192-120 =\$72

Hence Stefan made $72 by selling bicycle and helmet to Jim.

7 0
3 years ago
The definition of a circle uses the undefined term? ..
Naddika [18.5K]

Answer:

Plane

Step-by-step explanation:

or C

6 0
3 years ago
a pile of coins, consisting of dimes and quarters only, is worth 4 dollars and 55 cents. there are 7 more dimes than quarters in
Lady_Fox [76]

11 quarters and 18 dimes

Hope this helps! :D

7 0
2 years ago
Which is the solution to the inequality y+15 &lt;3?
Paraphin [41]

To solve an equation or inequality, you can add the same value to both sides of the expression. Here, it is convenient to choose that value to be the opposite of the constant (+15) added to y, so that constant is replaced by zero.


  y + 15 - 15 < 3 - 15 . . . . . we have added -15 to both sides

  y < -12 . . . . . . . . . . . . . . . the result of simplifying. This is your solution.

6 0
3 years ago
solve each triangle. round each side length to the nearest tenth and angle measures to the nearest degree. a= 14, c= 20, B= 38 d
slavikrds [6]
A) the missing degree is 166 

b) the missing degree is 142 

c)the missing degree is 160


I do hope I helped you in a way! If I am incorrect I apologize.
7 0
3 years ago
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