Answer:
X=20
Y=70
Step-by-step explanation:
All angles within a triangle add up to 180
180 - 40 = 140
140 is the top angle of the big triangle
140 + x + x = 180
x = 20
Now use x to find y by subtracting from the right angle (90 degrees)
90 - 20 = 70
70 + 40 + y = 180
Y = 70
Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
<em>If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.</em>
Here, FR and DA are corresponding sides.
Cancel the common factors of 4 and 6, we get
⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
sin²x + cos²x = 1
Consider the left side
2cos²A - 1 ← replace 1 by sin²A + cos²A
= 2cos²A - ( sin²A + cos²A)
= 2cos²A - sin²A - cos²A
= cos²A - sin²A = right side ⇒ verified
Answer:
69.12
Step-by-step explanation:
C + a = 132.....a = 132 - c
5.10c + 9.60a = 898.20
5.10c + 9.60(132 - c) = 898.20
5.10c + 1267.20 - 9.60c = 898.20
5.10c - 9.60c = 898.20 - 1267.20
-4.50c = - 369
c = -369/-4.50
c = 82 <=== child tickets sold
