Answer:
Katie is 6 years old and Thomas is 3 years old
Step-by-step explanation:
Given that we should let K and T be the current ages of two siblings, Katie and Thomas.
If Katie is currently twice the age of Thomas then,
K = 2T
and in 6 years, Katie will be 4 times Thomas's current age then
K + 6 = 4T
Solving both equations simultaneously by substituting the value of K given in the first equation into the second
2T + 6 = 4T
Collect like terms
6 = 4T - 2T
6 = 2T
Divide both sides by 2
T = 3
Recall that K = 2T
K = 2 * 3
= 6
Hence Katie is 6 years old while Thomas is 3 years old
Answer:
60 degrees
Step-by-step explanation:
If each side of the triangle WRD is 3 inches long, then WRD is an equilateral triangle, meaning all angles are the same size. Since there are 180 degrees in a triangle, 180/3 = 60 degrees.
Answer:
True
Step-by-step explanation:
When the value of the positive number is the same as the negative number, the sum is zero. The positive number and negative number cancel each other out or simplify. The sum of two negative integers is always negative. When two or more negative numbers are added together, the result or sum is always negative
Answer:
The vertex angle is 94 degrees
Step-by-step explanation:
Let the vertex angle be x
Mathematically, the base angles of an isosceles triangle are the same
So if one of the base angles is 43 degrees, then the other base angle would be 43 degrees too
Mathematically, the sum of angles in a triangle is 180 degrees
Thus;
43 + 43 + x = 180
x = 180-86
x = 94 degrees
Hey there Gary!
If Angle DBC is 73, you do subtract it from 180 to get ABD.
180 - 73 = 107
Angle ABD = 107
Angle DBC = 73
Angle ABD > DBC
or
Angle DBC < ABD
The line BD/DB is the same length in both angles, proving line AD is greater than CD. This is also justified by the fact that lines AB and CB are congruent.
I hope this helps, let me know if there's something wrong about my answer.