Answer: The probability that 3 or more of the next 5 customers will order chocolate is 30%. 3/10
Sandy conducted her own experiment to answer this question. She observed what groups of 5 customers ordered. In her experiment, 30% of the time at least 3 of the customers ordered chocolate.
The fraction 30% is 3/10.
Answer: 118
Explanation:
Since ∠A=∠ADB: ∠ADB=61°. The sum of the interior angles of any triangle is 180°, thus:
61°+61°= 122
180-122=58°
∠DBA=58°
Since triangle BCD is an equilateral triangle, all the interior angles are the same:
180/3=60
∠DBC=60°
∠BCD=60°
∠CDB=60°
Since angles DBC and DBA make up angle ABC, just simply add the two angles together:
58+60=118°
Therefore, ∠ABC is 118°.
Answer:
8,5,2
Step-by-step explanation:
8 , 5, 2 Just use rigorous trial and error
Answer:
The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles. The two equal angles are called the base angles and the third angle is called the vertex angle
The triangle ABE is an isosceles triangle with the vertex angle m∠ABE equal to
so
m∠BAE=m∠AEB-------> base angles
m∠BAE+m∠AEB+m∠ABE=
------> sum of internal angles of triangle
Find m∠BAE
2m∠BAE=
m∠BAE=
The measure of the angles of triangle ABE are 
The triangle MNP is an isosceles triangle with the base angle m∠NMP and m∠NPM equal to
so
m∠MNP+m∠NMP+m∠NPM=
------> sum of internal angles of triangle
Find m∠MNP (vertex angle)
m∠MNP=
m∠MNP=
The measure of the angles of triangle MNP are 
therefore
The triangles ABE and MNP are similar because the three corresponding angles are equal (AAA Criteria)
Answer:
91%
Step-by-step explanation:
The first step is to calculate the increase
= 1635-858
= 777
Therefore the percent increase can be calculated as follows
= 777/858 × 100
= 0.905× 100
= 90.5 %
= 91%
Hence the percentage increase is 91%