(1) QS bisecting <PQR implies <PQS = <SQR
(2) <PQS=45 deg and (1) imply <SQR also = 45 deg
(3) from (2) it follows that <PQR = <PQS + <SQR = 45 + 45 deg = 90 deg and therefore the triangle is right-angled
If Karen works 1 hour, she prepares 2 kg of dough.
If Karen works 2 hours, she prepares 2 kg + 2 kg of dough.
Maybe you can see where this is going.
If Karen works 3 hours, she prepares 2 kg + 2 kg + 2 kg of dough.
If Karen works h hours, she prepares 2 kg + 2 kg + ... + 2 kg of dough, where the number of instances of 2 kg is equal to h.
Early in your math career, you learned that repeated addition can be represented by multiplication. That is, when Karen works 3 hours, she prepares 3*(2 kg) of dough. It is not that big of a stretch to see that when Karen works h hours, she will prepare h*(2 kg) of dough.
Karen's output = h*(2 kg) . . . . . . an equation for finding the amount of dough
You are asked to solve this when h=5.
Karen's output = 5*(2 kg)
Karen's output = 10 kg
If she works 5 hours, Karen can prepare 10 kg of dough.
Answer:x2+2x−15
Step-by-step explanation:
1 lb = 16 oz
Translating the unit into oz gives us
166oz - 123oz = 43oz or 2lb 11oz
