The image of the question is attached below.
Given:
m∠DAC = 20° and m∠BCA = 30°
m∠ABC = 90° and m∠CDA = 90°
To find:
The value of x and y.
Solution:
In right triangle ABC,
m∠BAC = x° + 20°
Sum of the interior angles of a triangle = 180°
m∠BAC +m∠ABC + m∠BCA = 180°
x° + 20° + 90° + 30° = 180°
x° + 140° = 180°
Subtract 140° from both sides.
x° + 140° - 140° = 180° - 140°
x° = 40°
In right triangle ADC,
m∠ACD = y° + 30°
Sum of the interior angles of a triangle = 180°
m∠ACD +m∠CDA + m∠DAC = 180°
y° + 30° + 90° + 20° = 180°
y° + 140° = 180°
Subtract 140° from both sides.
y° + 140° - 140° = 180° - 140°
y° = 40°
The value of x is 40 and y is 40.
Answer:
The Shoe Hut
The Shoe Hut
Star's Coffee and Coffee
Step-by-step explanation:
Answer:
A. 5
Step-by-step explanation:
You have $15.
1 box = $3
3x _= 15
3x 5=15
So, 5 boxes of candy, you can buy for $15.
Answer:
21st `day
Step-by-step explanation:
3*3*3*3*3*3*3=21
7*7*7=21
21 is the lcm of 3 and 7