Answer:
x=11,y=10.
Step-by-step explanation:
The diagonals of a parallelogram bisect each other.
We can form an equation in x and y using this property.
2y+2=2x
and x+9=2y.
Solving the second equation for x ,
x=2y-9.
Substituting x value in 2y+2=2x
2y+2=2(2y-9)
Or ,2y+2=4y-18.
Adding 18 both sides:
2y+20=4y.
Subtracting 2y both sides
20=2y.
Dividing both sides by 2:
y=10.
x=2y-9
x=2(10)-9 ( substituting y value)
x=20-9=11
x=11 and y=10 will make the figure a parallelogram.
Let
x-------------> first odd integer
x+2---------> second odd integer
x+4---------> third odd integer
we know that
(x)+(x+2)+(x+4)=201--------> 3x+6=201--------> 3x=195-------> x=65
the three <span>sides of triangle RIO are
</span>x=65 in
x+2-----> 65+2-----> 67 in
x+4----> 65+4------> 69 in
then
69²=4761----------> c²
(65²+67²)=8714--------> a²+b²
c² < (a²+b²)---------> the triangle RIO is not obtuse
Is acute angle triangle
<span>statements
1) </span><span>The triangle is obtuse--------> is false
</span>Is acute angle triangle
<span>
2) </span><span>The triangle is scalene-----> is correct
The three sides measures are diferent
3)</span><span>The smallest side measures 61 inches--------> is false
</span><span>The smallest side measures 65 in
</span><span>
4)</span><span>The largest side measures 69 inches-------> is correct
</span><span>
5) </span><span>If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller
</span><span>If triangle RIO is dilated of 1/3, then news sides are
</span>65/3------> 21.67 in
67/3-------> 22.33 in
69/3------> 23 in
the new perimeter is=21.67+22.33+23------> 67 in
201-67=134 in
therefore
If triangle RIO is dilated of 1/3, then the perimeter of the dilated triangle will be 3 units smaller----------> is false
Because the perimeter of the dilated triangle will be 134 units smaller
Answer:
m3 should be 70°
all internal angles of a triangle add up to 180
180-35-75 = 70
Answer:
V= 105cm^3
Step-by-step explanation:
V=volume
(1/3)V+40=(5/7)V
(5/7)V-(1/3)V=40
(15/21)V-(7/21)V=40
(8/21)V=40
(21/8)(8/21)V=(21/8)(40
V=21*5
V=105 cm3
(1/3)(105)=35, 35+40=75, 75/105=15/21=5/7
The key to solving this question is first knowing how many cubic cm are in one cubic m:
The ratio is always 1000000 cubic cm in 1 cubic meter.
Knowing this, we calculate how many cubic cm are in 5 cubic meters!
<u>1000000 cubic cm </u>= <u>1 </u><span><u>cubic m</u>
x </span>cubic cm 5 cubic m
x = 1000000 cubic cm x 5 cubic m ÷ 1 cubic m
x = 5<span>000000 cubic cm
Hope this helps!
Feel free to message me if you have any questions :)</span>
