Answer:
bc= 6
Step-by-step explanation:
since the triangles are similar, the sides are in a ratio
xz/ac = 20/4 (5:1)
yx/ba = 15/3 (5:1)
yz/bc = 5:1 = 30/6
Answer:
none of them
Step-by-step explanation:
Two lines are perpendicular when satisfy the next equation: m1*m2 = -1, where m1 and m2 are the slopes o the lines.
line 1:
y – 1 = (x+2)
y = x + 3
slope of line 1 = 1
line 2:
y + 2 = –3(x – 4)
y + 2 =
-3*x + 12
y = -3*x + 10
slope of line 2 = -3
m1*m2 = 1*(-3
) = -3
They are not perpendicular
line 3:
y − 5 = 3(x + 11)
y − 5 = 3*x + 33
y = 3*x + 38
slope of line 3 = 3
m1*m3 = 1*3 = 3
They are not perpendicular
line 4:
y = -3x –
slope of line 4 = -3
m1*m4 = 1*(-3
) = -3
They are not perpendicular
line 5:
y = x – 2
slope of line 5 = 1
m1*m5 = 1*1 = 1
They are not perpendicular
line 6:
3x + y = 7
y = -3x + 7
slope of line 6 = -3
m1*m6 = 1*(-3
) = -3
They are not perpendicular
Answer:
14x
Step-by-step explanation:
multiply the 2i by the 0 eulogistic quotient
Answer:
x =0
Step-by-step explanation:
4+5e^x+2 =11
Combine like terms
6 + 5e^x =11
Subtract 6 from each side
6-6 + 5e^x =11-6
5 e^x = 5
Divide by 5 on each side
5 e^x /5 = 5/5
e^x = 1
Take the natural log on each side
ln (e^x) = ln(1)
x = ln(1)
x =0
Answer:
The greatest common factor is 4
Step-by-step explanation:
1.Find the prime factorization of 12
a) 12 = <u>2</u> × <u>2</u> × 3
2.Find the prime factorization of 196
a) 196 =<em> </em><u>2</u> ×<u> 2</u> × 7 × 7
To find the GCF, multiply all the prime factors common to both numbers:
a)GCF=2x2
Therefore, GCF = 2 × 2
GCF = 4
