Step-by-step explanation:
Firstly, we have to find m∠J.
Since all the angles of a Δ equal 180°, angles J, L, and K should have a sum of 180°.
So,
m∠J + m∠L + m∠K = 180°
The diagram shows us that ∠L = 49° and ∠K = 90°, so we plug in those numbers in the equation.
m∠J + 49° + 90° = 180°
Then we simplify
m∠J + 139° = 180°
Subtract 139° to both sides
∠J = 41
Now the other angles.
Since ΔJKL ~ ΔRST, then ∠J ≅ ∠R, ∠K ≅ ∠S, and ∠L ≅ ∠T
Meaning, m∠J = m∠R, m∠K = m∠S, and m∠L = m∠T
Since we know m∠J = 41°, m∠K = 90°, and m∠L = 49° we could plug those in so...
41° = m∠R , 90° = m∠S , and 49° = m∠T
Let b= length and a=width
Area= a*b and the problem said b=2a+3 (the length is 3ft more than double the width)
Replace b into Area formula:
Area= a*(2a+3) and we know that Area=77ft from the problem, so:
77=2a^2+3a now order and equal to zero:
2a^2+3a=77 now solve this with quadratic formula and you will get so values for a: -7ft and 5.5ft as you know the dimensions could not be negative so the correct answer for "a" side is 5.5ft, for getting the b side you haeve to replace a=5.5 into b=2a+3 and you will get b=2*5.5+3= 14ft.
Finished.
Answer:
(1) False
(2) False
(3). False
(4) False
Step-by-step explanation:
According to the problem, calculation of the given data are as follows,
(1). Given, 149 + 769 = 819
By calculating 149 + 769 = 918
Hence, False
(2). Given, 556 + 336 = 826
By calculating 556 + 336 = 892
Hence, False
(3). Given, 458 - 248 = 238
By calculating 458 - 248 = 210
Hence, False
(4). Given, 658 - 228 = 438
By calculating 658 - 228 = 430
Hence, False
Either mean or median, they are both 14 in this data set.
30% of 200=60 200+60= 260
Ty has £260
£260 x 2= £520
200+260+520= £980
Answer £980
I hope this is right :D
