Answer:
G. ABD = 74
H. DBC = 206
I. XYW = 33.75
J. WYZ = 46.25
Step-by-step explanation:
For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC). A straight line has an angle of 180 degrees. This means that the two angles from the straight line when combined will give you 180 degrees. Solve for x.
ABD + DBC = ABC
(1/2x + 20) + (2x - 10) = 180
1/2x + 20 + 2x - 10 = 180
5/2x + 10 = 180
5/2x = 170
x = 108
Now that you have x, you can solve for each angle.
ABD = 1/2x + 20
ABD = 1/2(108) + 20
ABD = 54 + 20
ABD = 74
DBC = 2x - 10
DBC = 2(108) - 10
DBC = 216 - 10
DBC = 206
For I and J: For these problems, you use the same concept as before. You have a right angle (XYZ) that has within it two other angles (XYW and WYZ). A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle. Solve for x.
XYW + WYZ = XYZ
(1 1/4x - 10) + (3/4x + 20) = 90
1 1/4x - 10 + 3/4x + 20 = 90
2x + 20 = 90
2x = 70
x = 35
Plug x into the angle values and solve.
XYW = 1 1/4x - 10
XYW = 1 1/4(35) - 10
XYW = 43.75 - 10
XYW = 33.75
WYZ = 3/4x + 20
WYZ = 3/4(35) + 20
WYZ = 26.25 + 20
WYZ = 46.25
Answer:
The answer would be C im positive
Step-by-step explanation:
To do this, you have to plug each x value into the rule.
1.y = 15 - 3×2
y = 15 - 6
y = 9
So the first y value would be 9.
2.y = 15 - 3×3
y = 15 - 9
y = 6
3. y = 15 - 3×4
y = 15-12
y = 3
4. y = 15 - 3×5
y = 15-15
y = 0
Hope this helps!
Answer:
i believe its 12.55
Step-by-step explanation:
if you add both number, 12.90 and 12.20, then divide by 2.
you'll will gain the same result
Answer:
2x³ - 3y + z²
Step-by-step explanation:
-2x³ – y – 2z² + 4x³ – 2y + 3z² Combine like terms
-2x³ + 4x³ – y – 2y – 2z² + 3z²
2x³ - 3y + z²