Answer:
x = 129°
Step-by-step explanation:
∠ ABD and ∠ DBC are a linear pair and sum to 180° , then
y + ∠ DBC = 180°
107° + ∠ DBC = 180° ( subtract 107° from both sides )
∠ DBC = 73°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then
x = ∠ DBC + z = 73° + 56° = 129°
1.) 3/4
2.) It snowed 1/4 more on Tuesday than it did on Monday.
Answer: The answer is $15.86
Step-by-step explanation: You would change 6.10 into a fraction, which is 61/10. Then you would mulitply that and that number as a decimal would be 15.86.
We are given the following measures:
mAB = 48°
mDC = 180°
In the given figure above, we can say that angle AVB is
an exterior angle which intercepts two arcs, arc AB and arc DC, therefore in
this case to solve for the measure of angle mAVB, we have to make use of the
formula which is in words:
Find the difference between the measures of the two
intercepted arcs and divide by 2, or expressed mathematically in this case as:
mAVB = (mDC – mAB) / 2
Substituting the given values into the equation:
mAVB = (180° - 48°) / 2
mAVB = 66°
Answer:
y/4 + x/12
Step-by-step explanation:
The number of working toys = x
The number of broken toys = y
Bert breaks 1/3 of the working toys, that is:
1/3 * x = x/3
The number of broken toys is now:
y + x/3
Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:
1/4 *(y + x/3)
= y/4 + x/12
