Hello,
Starting with problem one:
Subtract 66 from both sides.
z2−9z−66=66−66
z2−9z−66=0
Use quadratic formula with a=1, b=-9, c=-66.
z = 9/2+1/2√345
Problem two:
Subtract 17 from both sides.
y^2+16y−17=17−17
y^2+16y−17=0
Factor left side of equation.
(y−1)(y+17)=0
Set factors equal to 0.
y−1=0 or y+17=0
y=1 or y=−17
ANSWER: y=1 or y=−17
Problem 3:
2h^2−5h−(−1)=−1−(−1)
2h^2−5h+1=0
Use quadratic formula with a=2, b=-5, c=1.
ANSWER: h=5/4+1/4√17
Have an amazing day.
Answer:
Angle x= 60°
Step-by-step explanation:
For the triangle HIL, you're going to add 30+90=120
Angles in a triangle add up to 180.
So, therefore,
180-120=60 so angle L must equal 60.
HJ is a straight line and angles in a straight line add up to 180.
180-90=90
Angle JIL is equal to 90.
To find y you add 90+45 which equals 135.
Again, angles in a triangle add up to 180.
180-135=45
So,
y = 45
Now we are told that IJK is a right angle and that we are given that IJL is 45. 45 is half of 90 so LJK must be 45.
To find angle JLK we must add angle L and angle y.
60+45=105
Angles in a straight line add up to 180. So,
180-105=75
75 = Angle JLK
75+45=120
Angles in a triangle add up to 180 so,
180-120= 60
Angle x= 60°
Hope this helped, if so please award me with the brainliest if possible. If you require further assistance from me comment below! :)
This figure is a parallelogram because the opposite sides are congruent. Side CG would become 28 and side BH would also solve out to be 28
Answer:
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Step-by-step explanation:
Answer:
A = 144 m²
Step-by-step explanation:
Given that,
The length of the pen, l = 16 m
The breadth of the pen, b = 9 m
We need to find the area of the sheep pan. We know that the area of the rectangular shape is given by :
A = lb
Substituting all the values,
A = 16 m × 9 m
= 144 m²
So, the area of the sheep pen is 144 m².