Answers:measure angle x = 40°
measure angle y = 35°
measure angle z = 55°
Explanation:Part (a): getting angle x:In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°
Part (b): getting angle y:We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°
Part (c): getting angle z:In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°
Hope this helps :)
Answer:
(2x - 5y)²
(2x - 5y)(2x - 5y)
2x(2x - 5y) - 5y(2x - 5y)
2x(2x) - 2x(5y) - 5y(2x) + 5y(5y)
4x² - 10xy - 10xy + 25y²
4x² - 20y + 25y²
The answer is B.
Step-by-step explanation:
There is 20 students. To find the answer you need to use porportionals and cross multiply.
Answer:

Step-by-step explanation:
So we have the equation:

Add 2 to both sides. The left cancels:

Divide both sides by 6. The left cancels:

So, the value of x is -1.
And we're done!
Using BEDMAS, it would be brackets first, so anything Inside a set of brackets would be solved first, and would follow the same rule. Once the brackets have been solved, next would be the exponents. Since your brackets have been solved you can expand with the exponents. After exponents, would be anything that has to be divided or multiplied. These two operations are interchangeable based on what is more convenient or beneficial to do first. And lastly, addition and subtraction, which once again are interchangeable operations