Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
<u>Sin is -sqrt 2/2 cos is sqrt2/2 and tan is -1</u>
Answer:The equation wth x in the information can be written as
1/2 x = 38.5 , Upon solving, the number = 77
Step-by-step explanation:
Let the number Sara was thinking about be x
halving the number to get an answer = 38.5 can be expressed as
1/2 X = 38.5
The equation with x in the information can be written as
1/2 x = 38.5
solving it becomes
1/2 x= 38.5
x = 38.5 x 2
x=77
The number Sara was thinking about = 77
No because the exponent on 6^3 is 216 and if you use (4•6)^3 then you’ll have to multiply the quotations and then Square it to the third
Answer:
2
Step-by-step explanation:
We are asked to perform the subtraction
x² + xy - 3y² - (5x² - xy + y²) ← distribute the parenthesis by - 1
= x² + xy - 3y² - 5x² + xy - y² ← collect like terms
= (x² - 5x²) + (xy + xy) + (- 3y² - y² )
= - 4x² + 2xy - 4y²
