We are given : m∠WYX=(2x−1)° and m∠WYZ=(4x+1)°.
∠WYX and ∠WYZ are complementary.
We know, sum of complementary angles is = 90°.
So, we need to add ∠WYX and ∠WYZ and set it equal to 90°.
m∠WYX + m∠WYZ = 90°.
Plugging values of ∠WYX and ∠WYZ in the above equation, we get
(2x−1)° + (4x+1)° = 90°.
Removing parentheses from both sides,
2x-1 + 4x+1 =90.
Combining like terms,
2x+4x= 6x and -1+1 =0
6x +0 =90.
6x=90.
Dividing both sides by 6.
6x/6 =90/6
x= 15.
Plugging value of x=15.
m∠WYX=(2x−1)° = 2*15 -1 = 30 -1 =29
m∠WYZ=(4x+1)° = 4*15 +1 = 60+1 = 61.
Therefore, ∠WYX=29° and ∠WYZ=61°.
Answer:
2√30
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
7^2 + b^2 = 13^2
b^2 = 120
b = 2√30
66 minutes is the correct answer
Answer:
1 7/30
Step-by-step explanation:
3 - (1 1/6 + 3/5) =
3 - (1 5/30 + 18/30) =
3 - 1 23/30 =
1 7/30
<em>Hope that helps!</em>
