Answer:
you need to show the shape or somet or else I can't rlly help
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:
See below.
Step-by-step explanation:
Squaring a number means to multiply the number by itself.
For example, 3^2 means 3 * 3.
8^2 means 8 * 8.
(-6)^2 means (-6) * (-6).
In each case above, you see that the number that is squared is multiplied by itself.
In this case, (-4.5)^2, squaring the number -4.5, means multiply the number -4.5 by the number -4.5
(-4.5)^2 = (-4.5) * (-4.5)
Now we need to actually multiply -4.5 by -4.5
When you multiply a negative number by a negative number, the result is positive, so the product of -4.5 and -4.5 is a positive number. To find that number, you multiply 4.5 by 4.5
4.5 * 4.5 = 20.25
Therefore, (-4.5)^2 = 20.25
Answer:
Option B. 75
Step-by-step explanation:
we know that
<u>A negative correlation</u> or inverse correlation is a relationship between two variables such that as the value of one variable increases, the other decreases
we know that
For L1=150, K1=7
so
For K2=14, L2=?
we have that
L1*K1=L2*k2
substitute the values
150*7=L2*14
L2=150*7/14
L2=75
4x^2 = 12x
4x^2 - 12x = 0
4x(x - 3) = 0
4x = 0
x = 0...not this one
x - 3 = 0
x = 3 <== ur number