The rectangle i would say is a parallelogram. Since a parallelogram has sides that are parallel which explains the name: parallelogram :) :D
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
Answer:
4% of students tried both questions.
Step-by-step explanation:
Given:
Total students taking the exam = 50
Number of students who answered the first question = 16
Number of students who answered the second question = 33
Number of students who din't answer any = 3
To find the percent of students who tried both questions.
Solution:
Total students who answered at least one question =
Number of students who tried both questions can be given as :
⇒
⇒
⇒
Percentage of students who tried both questions can be given as:
⇒
⇒
⇒
Thus, 4% of students tried both questions.
Answer:
Step-by-step explanation:
∠CAD is the central angle and ∠CBD is the inscribed/circumference angle which means that
∠CAD = 2(∠CBD)
So, If ∠CBD = 55° then ∠CAD = 110°
The picture doesn't show the problem well. But I think that the problem is 2-1/3. If that's it, then
2-1/3=3/3-1/3=2/3
The answer is 2/3.