Answer: C. Definition of an Altitude
Step-by-step explanation:
Given: In triangle MNO shown below, segment NP is an altitude from the right angle.
Let ∠MNP=x
Then ∠PNO=90°-x
Therefore in triangle MNO,
∠MPN=∠NPO =90° [by definition of Altitude]
[Definition of altitude : A line which passes through a vertex of a triangle, and joins the opposite side forming right angles. ]
Now using angle sum property in ΔMNP
∠MNP+∠MPN+∠PMN=180°
⇒x+90°+∠PMN=180°
⇒∠PMN=180°-90°-x
⇒∠PMN=90°-x
Now, in ΔMNO and ΔPNO
∠PMN=∠PNO=90°-x
and ∠MPN=∠NPO =90° [by definition of altitude]
Therefore by AA similarity postulate, we have
ΔMNO ≈ ΔPNO
Answer:
$11.75
Step-by-step explanation:
To find the cost of each,
you have to divide the amount paid by the amount bought
47.00 (amount paid) / 4 (amount bought) = 11.75 (total cost of each)
Answer:
hello your question has a missing diagram attached below is the missing diagram
answer :
Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )
Step-by-step explanation:
when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between the given circles and then construct a line through it
Answer:
The correct answer is option A.
Step-by-step explanation:
Let's start by analyzing the information we have.
We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.
But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.
Therefore, what will be charged with taxes will be:
70-25 = 45
Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:
45.0,05 = 2,25
Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:
2.25 + 70 = 72.25
Therefore, the total value of the purchase is 72.25.

Angles forming linear pair are :

And we know, they are supplymentary
So, the measures of the given angles are :
And
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