Answer:
see explanation
Step-by-step explanation:
All of these questions use the external angle theorem, that is
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
18
∠3 = 43° + 22° = 65°
19
∠2 + 71 = 92 ( subtract 71 from both sides )
∠2 = 21°
20
90 + ∠4 = 123 ( subtract 90 from both sides )
∠4 = 33°
21
2x - 15 + x - 5 = 148
3x - 20 = 148 ( add 20 to both sides )
3x = 168 ( divide both sides by 3 )
x = 56
Hence ∠ABC = x - 5 = 56 - 5 = 51°
22
2x + 27 + 2x - 11 = 100
4x + 16 = 100 ( subtract 16 from both sides )
4x = 84 ( divide both sides by 4 )
x = 21
Hence ∠JKL = 2x - 11 = (2 × 21) - 11 = 42 - 11 = 31°
It wants you to complete the function using -10 for x. . .
e.g: f(x) = 1/2x + 2
f(-10) = 1/2(-10) + 2
f(-10) = 3
Answer:
y=14; x=72
Step-by-step explanation:
y=(21×2)/3; x=(48×21)/14
Here you have two terms connected by the "subtraction" symbol.
The two coefficients are 2 and 32, and one factor common to both of these is 2. Thus, <span>2x^2-32y^2 = 2(x^2-16y^2).
You could stop here. But it'd make more sense to continue, since x^2-16y^2 is easy to factor:
The three factors of </span><span>2x^2-32y^2 are 2, x-4 and x+4</span>
You did not attach any
picture to solve this problem. We cannot calculate for the value W’X’ without
the correct illustrations. However, I think I found the correct one (see
attached), please attach it next time.
So the first thing we have to
do is to calculate for the dilation factor. Taking point G as the reference
point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5
while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor
to use is:
dilation factor = 1.5 / (1.5
+ 7.5) = 1.5 / 9 = 1/6
Since WX has an initial
measure of 3 units, therefore the measure of W’X’ is:
W’X’ = 3 units * (1/6) = 0.5
units
Answer:
<span>0.5 units</span>
