Answer:
x=120, y=70
Step-by-step explanation:
X must be 120 degrees as it is on a parallel line.
The outer+interior angles of a triangle on a straight line must be supplementary, so the second angle of the triangle is 180-120=60.
All interior angles of a triangle add up to 180 degrees: 50+60+y=180
y+110=180
y=70
The six pack of soda that costs 2.70 is a better deal than the soda that costs .50 because technically if you bought the 6 pack the soda would be 45 cents
9514 1404 393
Answer:
Step-by-step explanation:
To find the scale factor from ΔDEF to ΔRST, find a measure on ΔDEF and a corresponding measure on ΔRST, then write them in the form required for the scale factor.
Here, there are numbers on DE, RS, and ST. We see by the similarity statement ΔDEF ~ ΔRST that DE corresponds to RS, so the scale factor is ...
ΔDEF : ΔRST = DE : RS = 3 : 4 . . . scale factor
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Using that scale factor, you can write a proportion to find the value of x.
3 : 4 = x : 16 ⇒ 3/4 = x/16
Multiplying the fraction equation by 16, we have ...
x = 16(3/4)
x = 12
Answer:
8 x^5 y^7
Step-by-step explanation:
Simplify the following:
4×2 x^2 y^3 x^3 y^4
Hint: | Combine products of like terms.
4 x^2 y^3×2 x^3 y^4 = 4 x^(2 + 3) y^(3 + 4)×2:
4×2 x^(2 + 3) y^(3 + 4)
Hint: | Evaluate 3 + 4.
3 + 4 = 7:
4×2 x^(2 + 3) y^7
Hint: | Evaluate 2 + 3.
2 + 3 = 5:
4×2 x^5 y^7
Hint: | Multiply 4 and 2 together.
4×2 = 8:
Answer: 8 x^5 y^7
1.) Adrianna has 10 pieces of gum.
2.) She now buys 3 MORE pieces of gum.
3.) 10 (original amount) + 3 (amount bought) = 13 pieces of gum
4.) Adrianna now has 13 pieces of gum to share with her friends.
