Answer:
The correct option is B.
Step-by-step explanation:
Given information: AB\parallel DCAB∥DC and BC\parallel ADBC∥AD .
Draw a diagonal AC.
In triangle BCA and DAC,
AC\cong ACAC≅AC (Reflexive Property of Equality)
\angle BAC\cong \angle DCA∠BAC≅∠DCA ( Alternate Interior Angles Theorem)
\angle BCA\cong \angle DAC∠BCA≅∠DAC ( Alternate Interior Angles Theorem)
The ASA (Angle-Side-Angle) postulate states that two triangles are congruent if two corresponding angles and the included side of are congruent.
By ASA postulate,
\triangle BCA\cong \triangle DAC△BCA≅△DAC
Therefore option B is correct
A. 30 sixth graders
b. 12 sixth graders
c. If the school has 40 students and the total of students is 70, the number of sixth graders is x
d. 36 students
Answer:
Right Isosceles
Step-by-step explanation:
First, let's see if this triangle is Acute, Obtuse or Right.
We see that PB and QB are perpendicular lines, meaning that they form a right angle. Therefore, triangle PQB is a right triangle.
Next, let's see if this triangle is equilateral, isosceles or scalene. PB and QB are congruent side lengths but PQ is not congruent to either PB or QB. Therefore, because two of the side lengths are congruent to each other and one is not, then triangle PQB is a isosceles triangle.
In conclusion, triangle PQB can be categorized as a right isosceles triangle.
Hope this helps!
Answer:
225 students are wearing school colors.
Step-by-step explanation:
1. we know that 75% or .75 of the students are wearing school colors.
2. to find what this number is we need to know what 75% of 300 is.
("of" is a keyword meaning multiply)
3. We can do this by multiplying:
300(.75) = 225
Answer:
the explicit rule is the difference, which is -5.
Step-by-step explanation:
