Answer:
The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.
Step-by-step explanation:
As we have to make 100g of jam
so
- Amount of strawberries = 57g
-
Amount of blackberries = 13g
Thus
The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g
Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.
Answer:
Here is the full proof:
AC bisects ∠BCD Given
∠CAB ≅ ∠CAD Definition of angle bisector
DC ⊥ AD Given
∠ADC = 90° Definition of perpendicular lines
BC ⊥ AB Given
∠ABC = 90° Definition of perpendicular lines
∠ADC ≅ ∠ABC Right angles are congruent
AC = AC Reflexive property
ΔCAB ≅ ΔCAD SAA
BC = DC CPCTC
Answer:
c
Step-by-step explanation:
Point slope form follows the equation y-y₁=m(x-x₁), so we want it to look like that. Starting off with m, or the slope, we can find this using your two points with the formula

. Note that y₁ and x₁ are from the same point, but it does not matter which point you designate to be point 1 and point 2. Thus, we can plug our numbers in - the x value comes first in the equation, and the y value comes second, so we have

as our slope. Keeping in mind that it does not matter which point is point 1 and which point is point 2, we go back to y-y₁=m(x-x₁) and plug a point in (I'll be using (10,5)). Note that x₁, m, and y₁ need to be plugged in, but x and y stay that way so that you can plug x or y values into the formula to find where exactly it is on the line. Thus, we have our point slope equation to be

Feel free to ask further questions!
Answer:
24
Step-by-step explanation: