The drawing shows that angles BAD and CAD are congruent, which means that the line segment AD bisects the angle BAC. By the angle bisector theorem,
But AB and AC are also shown to be congruent, so the right hand side reduces to 1, and we have 
, which means CD and BD are also congruent.
AD is congruent to itself and happens to be a part of two triangles, ABD and ACD.
So by the side-side-side postulate, the triangles ABD and ACD are congruent, which means corresponding parts (sides and angles) are congruent to each other. And because triangles ABD and ACD are congruent, the "total" triangle ABC is isosceles, and AD must be perpendicular to BC. This last observation means that 
.
In any triangle, the interior angles must sum to 180 degrees, so we have
Total number of Pizzas sampled = 344+391+155+185 = 1075
No. of Thick crust Pizzas in sample = 391
Proportion of Thick crust Pizzas in sample = 391/1075
Expected number of Thick crust in next 3500 pizzas = 3500*(391/1075)
Expected number of Thick crust in next 3500 pizzas = 1273
Out of 3500, he may expect 1273 pizzas to be thick crust
Answer: 24
Hope this helps! Could I please have a brainliest? <3
8x2+64x=0
16x+64x=0 ===> x=0
Answer:
Everyone will get 
amount of cakes.
Step-by-step explanation:
Given:
Number of Cakes Josh buys = 35
Number of Students Josh wants to share = 86
Josh need to share cakes with fifth grade students.
We need to find the fraction of cakes everyone will get.
So to find the the fraction of cakes everyone will get can be calculated by dividing Number of Cakes Josh buys with Number of students he want to share with.
Amount of cakes Every one will get = 
Now Substituting the values we get;
Amount of cakes Every one will get =
Hence Everyone will get amount of cakes.
