Answer:
X = 78, Z = 29, and Y = 102
Step-by-step explanation:
X = 78. 43 + 59 = 102. There has to be 180 degrees in a triangle. So subtract 180 by 102.
Z = 29. Think of the whole triangle for this one. 43 + 49 + 59 = 151. 180 - 151 = 29.
Y = 102. Plug in the value of Z. 49 + 29 = 78. 180 - 78 = 102.
Hope that helps!
Answer:
y=1/2x-10
Step-by-step explanation:
y=1/2x+b
-8=1/2(4)+b
-8=2+b
-10=b
y=1/2x-10
Answer: OPTION A.
Step-by-step explanation:
Find the length scale factor by dividing the known length of the larger triangle by the known length of the smaller triangle:
Then, the area scale factor is:
To find the area of the the larger triangle, multiply the area of the smaller triangle by the area scale factor. Then:
So, the option that shows an approximation of the area of the larger triangle is the option A:
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When solving for this problem, replace x with the first coordinate and solve. if the answer is what you have for the second, it is correct. The first number in an ordered pair is your x and the second is your y. So I would rewrite the equation like this and solve.
y=7x-19 y=7x+21
2=7(3)-19 9=7(4)-19 2=7(3)+21 9=7(4)+21
2=21-19 9=28-19 2=21+21 9=28+21
2=2 9=9 2=42 9=49
as you can see it is the first equation.
LY = 5.2 , TY = 3.9
Δ LTN is a right triangle , ∠T = 90° , TY⊥LN
∴ TY² = LY * YN
∴ 3.9² = 5.2 * YN
∴ YN = 3.9²/5.2 = 2.925
∴ LN = LY + YN = 5.2 + 2.925 = 8.125
Δ LYT is a right triangle , ∠Y = 90°
LT² = LY² + YT² = 5.2² + 3.9² = 42.25
∴ LT = √42.25 = 6.5
Δ NYT is a right triangle , ∠Y = 90°
NT² = NY² + YT² = 2.925² + 3.9² = 23.765
∴ NT = √23.765 = 4.875
The preimeter of the rectangle LINT = 2 * (LT + TN)
= 2 * ( 6.5 + 4.875 )
= 2 * 11.375
= 22.75
