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: I uploaded the answer to a file hosting. Here's link:
Step-by-step explanation:
Substitute with y = 4 and z = -2
= 4^2*(-2)/4 + 10
= 16*(-2)/4 + 10
= -32/4 + 10
= -8 + 10
= 2
Hope This Helped! Good Luck!
:1
i didnt understand the question because of my English sorry
:2
we all know that the total of degrees is 180 so 70+70=140
180-140=40
so the answer is 40
3:
we have a figure with 4 angle so the total of degrees is 360 so the answer is 126
4:
the answer most be 50 becuse we have a Special degree witch always equal 90 if we have recatngle so
x+40=90
X=50 the answer and if you want to try again choose the second one
2x-10=90
2x=100
X=50 same answe you see
5:
in this quastion i searched and find alot of answers any way
its should be 7 or 3 but the correct answer in my opinion its 7
its shows in the picture i sent hopefully its helpful to you i will try to translate the first quastion and sent it to you
Inductive reasoning is a kind of reasoning the involves taking specific information and from these information, will create a broader generalization or conclusion. This includes providing strong evidence for the truth of the conclusion. The tools that can be used for inductive reasoning are observation, experimentation and facts.
