Answer:
Step-by-step explanation:
Figure (1)
x° = 107° [Vertically opposite angles]
Since, vertical angles are equal in measure.
Figure (2)
x + 71° = 90° [Given, complementary angles]
x = 90° - 71°
x = 19°
Figure (3)
x + 21° = 180° [Given as supplementary angles]
x = 180° - 21°
x = 159°
Figure (4)
x = 129° [Vertical angles]
Figure (5)
x° = 90° [Given]
z° + 34° = 90°
z° = 90° - 34°
z° = 56°
Since, x° + y° + z° = 180° [Linear angles]
90° + y° + 56° = 180°
y° + 146° = 180°
y° = 180° - 146°
y° = 34°
Answer:
Width = 
ft
Step-by-step explanation:
The tank holds 150 gallons of water.
7.5 gallons holds 1 ft³ of water.
So 150 gallons will hold;
× 1 ft³ = 20 ft³
The volume of the tank = Length(l) × Width(w) × Height(h) = 20 ft³
i.e 5 ft × w × 3 ft = 20 ft³
15w ft² = 20 ft³
w = 
= ft
Answer: use the Pythagorean theorem a2+b2=c2 substitute the numbers in
7 squared + 3 squared = c squared so 7x7=49 and 3x3=9 add 49 and 9 which equals square root of 58 since that is not a perfect square you take square root of 58 and you simplify and that gives you 7.62
Step-by-step explanation:
I showed on top
Answer:
$386
Step-by-step explanation:
If Ann has to pay $2316 twice a year
(every 6 months), then, we calculate
$2316/6 = $386 every month.
Hence, Ann's budget for health
insurance each month is $386.
Hope it helps!
Same-side interior angles where a transversal crosses parallel lines are supplementary:
The solutions to these equations can probably be done in your head:
- y = 180/(6+4) = 18
- x = (180-90)/5 = 18
The angles at the bottom of the figure, shown as different, are actually the same: 90°.
The angles at the top of the figure, shown as the same, are actually different: 108° on the left, 72° on the right.
