For this problem, we can say that corresponding angles are congruent, or the same, this also means that their angle measures have to be the same. Then, our equations for our angles will be vertical angles, which means that they must equal each other. So we would then write our equation as 3x+20=4x+10 or 4x+10=3x+20. Then, to combine like terms, we will subtract 3x from both sides, resulting in x+10=20. Then we will subtract 10 from both sides, resulting in x=10.

5 0

3 years ago

Complex numbers zj and zz are given by zj = 3- j2, zz = - 4 + j3. (a) express zj and zz in polar form. (b) find lz1l by first ap

inna [77]

Solution:

Given: zj = 3- j2, zz = - 4 + j3

Part a:

zj = 3- j2 = $3.6e^{-j33.7^{\circ}}$

zz = - 4 + j3 = $5e^{j143.1^{\circ}}$

Part b:

|zj| = |3− j2| = √3² +(−2)² = √13 = 3.60

|z1| = √(3− j2)(3+ j2) = √ 13 = 3.60.

Part c:

With the help of part a:

z1z2 = $3.6e^{-j33.7^{\circ}}.5e^{j143.1^{\circ}}$

6 0

3 years ago

Kayla get paid $15 to rake the lawn. Kayla get paid 3 times as much to rake the lawn as she does to mow the lawn. How much does

Xelga [282]

Answer :

15$ x 3 = 45 

Step-by-step explanation:

You just have to multiply the amount that kayla gets payed (15$) to the number of times that she mows the lawn ( 3 times ).

Then you do the eqaution which is :

15$ x 3 

And that give you your answer which is:

45 :)

4 0

3 years ago