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olganol [36]
2 years ago
8

A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b

elow is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to w is marked as o, and the other two angles inside the triangle are marked as m and n
. Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle) Step 2: m∠p − m∠o = 90 degrees (alternate interior angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected? Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles) Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Mathematics
2 answers:
blagie [28]2 years ago
7 0
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle) Step 2: m∠p + m∠o = 180 degrees (Supplementary Angles) Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p (Substitution or Transitive) Step 4: So, m∠m + m∠n = m∠p (Subtraction)
astraxan [27]2 years ago
4 0

Answer:  Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)

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Write an equation, and solve. Round your answer to the nearest cent.
VashaNatasha [74]

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

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Hence, the cost of 16 oz of granola should be $16.16.

3 0
3 years ago
Write a single transformation that maps ABC onto A' B' C'
blsea [12.9K]

9514 1404 393

Answer:

  Either of ...

  • (x, y) ⇒ (-x, -y)
  • Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

4 0
3 years ago
A dairy sells $3 and $5 ice creams. In one day they sell 50 ice creams earning a total of $180. How many of each type of ice cre
murzikaleks [220]
We are going to make simultaneous equations.
x will be our $3 ice cream and y will be our $5 ice cream

Equation1 ----            x + y = 50   (the sum of all the ice creams they sell)
Equation 2 ----          3x + 5y = 180  Sum of all the $3 and $5 ice creams is $180
Since we can't solve for both variables we will put one of the variables in terms of the other.
Take x+y=50 and subtract y from both sides.  (I could have done subtracted x - it did not matter).       Now we have x= ₋ y +50  (negative y +50)
Now I am going to take equation 2 and replace the x with -y +50

3 (-y +50) + 5y = 180   
Now I will use the distributive law on the 3 and what's in the parentheses:
-3y + 150 + 5y = 180
Now I will combine like terms (the -3y and the 5y)
2y + 150 = 180
Now subtract 150 from both sides of the equation
2y = 30
Divide both sides by 2
and get y= 15 They sold 15 ice creams that cost $5 each
Since equation 1  is  x+y=50 we can replace y with 15
x + 15 = 50    Now subtract 15 from both sides  x = 35
Since x represents the $3 ice creams, they sold 35 of those.
Check:
35 X 3 = $105
15 x 5  = +  <u>75
</u>               $180  

8 0
2 years ago
*URGENT* <br> PLEASE HELP ILL GIVE BRAINLIEST !!!!!!
mylen [45]
Just multiply the given x values by the function rule, that’s how you get ur y
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3 years ago
Use a translator or whatever, just don't know how to do it. Will give most helpful answer brainliest, with an explanation and an
bekas [8.4K]
The answer is -60. this is because the signs implemented in front of numbers give it a sort pattern .

when there are two additions the last number after the positive sign will give a positive number 1 greater than the initial number for example + 5 + 6. Answer afterward will be + 7 and for negative sign eg: - 7 - 8 in the question will give the answer -8 the same number after a negative (-) sign .
Hope this helps
4 0
2 years ago
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