Answer:
15
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
You have to cancel the -7 so you would add +7 to each side.
-7+7=0, -5+7= 2
y=2
Although this isn't an answer choice. Did you mistype something?
Answer:
1st ans
(8x+19)=(9x+9)(vertically opposite angle)
19-9=9x-8x
x=10
2nd ans
(3x-31)=(x+59)(exterior alternate angle)
3x-x=59+31
2x=90
x=90/2
x=45
3rd ans
(5x-33)+(6x+4)=180(straight angle )
11x-29=180
11x=180+29
x=209/11
x=19
A = l x w
so you know that the length is 3m longer than the width, so you could use a formula to represent that
w = l + 3
you then substitute the second equation into the first to solve for l
70 = l x (l +3)
70 = l^2 + 3l
you could then rearrange the formula and solve for l using the quadratic formula
0 = l^2 + 3l - 70
l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2
then you solve for the two seperate roots
l = -3 + 17 /2
l = 14 / 2
l = 7
or
l = -3 - 17 / 2
l = -20 / 2
l = -10
since a length cannot be negative, this root is not viable. therefore l = 7
to solve for w you would use
w = l + 3
w = 7 + 3
w = 10
hope this helps! if you did not understand a step or concept please let me know!
Answer:
steps below
Step-by-step explanation:
BD⊥AC ∠ADB = ∠CDB = 90°
D is mid-point: AD = CD
BD = BD
ΔADB ≅ ΔCDB
AB = BC
