Answer:
see explanation
Step-by-step explanation:
The corresponding angles are
∠ B = ∠ L
∠ C = ∠ M
∠ D = ∠ J
∠ E = ∠ K
----------------------------
The corresponding sides are
BC = LM
CD = MJ
DE = JK
EB = KL
Thus BCDE ≅ LMJK
Answer:
A. 650 + 35w > 825 + 15w
Step-by-step explanation:
Molly = $650
Molly's weekly additions = $35
Lynn=$825
Lynn's weekly additions= $15
Let the number of weeks = w
inequality to determine how many weeks, w, it will take for Molly's savings to exceed Lynn's savings
Molly's savings
$650+ $35w
Lynn's savings
$825 + 15w
The inequality is
650 + 35w > 825 + 15w
The inequality above will show the number of weeks it will take for Molly's savings to be greater than Lynn's savings
Answer:
D. X= ± square root of 8 - 2
Step-by-step explanation:
Given quadratic equation is \[x^{2}+4x=4\]
Rearranging the terms: \[x^{2}+4x-4=0\]
This is the standard format of quadratic equation of the form \[ax^{2}+bx+c=0\]
Here, a=1 , b=4 and c=-4.
Roots of the quadratic equation are given by \[\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}\]
Substituting the values and calculating the roots:
\[\frac{-4 \pm \sqrt{(-4)^{2}-4*1*(-4))}}{2*1}\]
= \[\frac{-4 \pm \sqrt{32}}{2}\]
= \[\frac{-2*2 \pm 2*\sqrt{8}}{2}\]
= \[-2 \pm \sqrt{8}\]
Hence option D is the correct option.
9514 1404 393
Answer:
- sin(θ) = -7/√65
- csc(θ)=-√65/7
- cot=-4/7
Step-by-step explanation:
For the sine (and cosecant) function, we need to know the distance from the origin to the given point. The distance formula works for that.
d = √(4² +(-7)²) = √(16 +49) = √65
The sine is the ratio y/d; the cosecant is the inverse of the sine. The cotangent is the ratio x/y.
sin(θ) = y/d = -7/√65
csc(θ) = 1/sin(θ) = -√65/7
cot(θ) = x/y = -4/7
_____
If you need to have the denominator be rational for the sine, then multiply by √65/√65 to get sin(θ) = (-7/65)√65.
Answer:
I believe the answer is C
