Answer:
PQ = 34.4
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74
Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)
This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.
We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that
NO/QR = MN/PQ
Thus,
11/27 = 14/PQ
multiply both sides by PQ to remove a denominator
PQ * 11/27 = 14
multiply both sides by 27 to remove the other denominator
PQ * 11 = 14 * 27
divide both sides by 11 to isolate the PQ
PQ = 14 * 27 /11
PQ = 34.4
Assume E represents the cost of an egg and T represents the cost of one piece of toast.
We can construct two equations :
2E + T = $3.00 - - - - - (a)
E + T = $1.80 - - - - - (b)
Subtract equation b from a:
E = $1.20 (The price of one egg)
To find out the price of one piece of toast, replace the price of one egg in equation b:
T = $1.80 - $1.20 = $0.60 (The price of one piece of toast)
Hope that helps you
Answer:
x ≥ -7
Step-by-step explanation:
Divide both sides by 6
Then to graph it, you can make a number line
Answer: 10:7
Step-by-step explanation:
40:28=10*7
-10t - (-17t) - 10t + (-13) = 11 (two negative signs makes a positive)
-10t + 17t - 10t - 13 = 11 Combine like terms
-3t - 13 = 11 Add 13 on both sides
-3t = 24 Divide -3 on both sides
t = -8