We don’t know the value of the shorter side, so we will categorize it as x. Side 2 is just 4 feet longer than x, so we would add 4 on to it. Side 3 has double the x, so we would multiply it be 2 for 2x, and subtract the 4 feet from it.
Side 1: x
Side 2: x + 4
Side 3: 2x - 4
If the perimeter is 64 feet, then all of the sides have to add up to it. Therefore, first we add all of the side lengths up:
x + x + 4 + 2x - 4 = 4x.
Now we put 4x, the amount of all these sides added up, equal to the perimeter of 64.
4x = 64. Divide both sides by 4 to get x by itself.
x = 16.
Now that we know x is 16, we will substitute it in for all the side lengths’ equations.
We know that Side 1 was just x, so that will be 16. Since Side 2 was 4 more than x, we’d do 16 + 4 = 20. We substitute 16 in for x in Side 3’s equation: 2(16) - 4 = 32 - 4 = 28.
Therefore, the final lengths of all the sides are:
Side 1: 16
Side 2: 20
Side 3: 28
Answer:
2. ΔABC is isosceles
Step-by-step explanation:
Given : m∠A = 50
m∠BCD = 180 - (m∠BDC + m∠DBC)
= 180 - (100 + 30)
= 50
then
m∠A = m∠BCD
therefore ΔABC is isosceles
Given the angle
angle
is equivalent to angle 135 degrees and angle 135 degrees is equvalent to angle 45 degrees in the second quadrant, thus sine is positive but cosine and tangent are negative.
X = bob
y = bill
x + y = 68
x = 3y
3y + y = 68
4y = 68
y = 68/4
y = 17 <== Bills cards
x = 3y
x = 3(17)
x = 51 <=== Bobs cards
