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the figure shows triangle pqr and line segment ab, which is parallel to qr:

triangle pqr has a point a on side pq and point b on side pr. the line ab is parallel to the line qr.

part a: is triangle pqr similar to triangle pab? explain using what you know about triangle similarity. (5 points)

part b: which line segment on triangle pab corresponds to line segment qr? explain your answer. (3 points)

part c: which angle on triangle pab corresponds to angle q? explain your answer. (2 points)

The answer to your question is below

Step-by-step explanation:

Part A. Yes Δ PQR and ΔPAB are similar because line AB and line QR are parallels, so

   ∠PAB and ∠PQR  measure the same

    ∠PQR and ∠ABP measure the same

    ∠QRP and ∠ARP measure the same

so these triangles are similar

Part B. The line segment on triangle PAB that corresponds to line QR is the line AB because lines QR and AB are parallels are are surrounded by angles that measure the same.

Part C. The angle in triangle PAB that corresponds to angle Q is angle A because these angles are corresponding.

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: