-2=-x+x square-4
firstly regroup the equation
x square-2x+x-2=0
x square-x-2=0
multiply the first term by the last term.(I.e x square multiply by -2=-2x square)
product of factor = -2x 1
sum of factor= -2x+1(x)= -1
x square -2x+x-2=0
open the bracket:
x(x-2)+1(x-2)=0
x=1 or x=-2
Therefore; x=-1 or x=2
1. 12 feet = 144 inches
15 feet = 180 inches
144 inches / 8 inches = 18
180 inches / 10 inches = 18
The scale factor was 18.
2. Volume = Length x Width X height:
Volume = 16 x 13 x 11 = 2,288 cubic inches.
Answer:
<h2><u><em>
12</em></u></h2>
Step-by-step explanation:
0.5 = 1/2
6 ÷ 0.5 = 12
or
6 : 1/2 =
6 × 2 = 12
Answer:
∠VXW = 57°
∠XVW = 56°
Step-by-step explanation:
Firstly, we need to remember the sum of a triangle's angle ALWAYS equals 180°.
Next, we see that two angles of △XYZ are given to us; 58° and 65°. Adding these two numbers would give us 123°. Now we need to subtract 123 from 180 to find the ∠YXZ; 180° - 123° = 57°.
Once we have this number, we need to remember a straight line also measures 180°. Line YW is important to find our answer, but first we need to find the answer to ∠WXZ. Since ∠YXZ and ∠WXZ come together and create the line YW, we can easily find the answer to ∠WXZ by subtracting ∠YXZ with 180; 180° - 57° = 123°
Now we need to find ∠VXW keeping the previous things I mentioned in mind; 180° - 123° = 57°. This is the answer to our first angle ∠VXW.
Since a triangle's angles always equal to 180° and we have the answer to two angles in △XVW, all we need to do is add then subtract;
67° + 57° = 124°
180° - 124° = 56°
And that is your answer!
∠VXW = 57°
∠XVW = 56°
Answer:
(b) 36 degrees.
Step-by-step explanation:
K is the center of the circle so triangle KMN is isosceles and m < KMN = m KNM = 26 degrees ( base angles are equal)
So m < LMK = m <LMN - m < KMN
= 98 - 26
= 72 degrees.
Now triangle LKM is also isosceles since K is the center of the circle so
m < LKM = 180 - 2* 72
= 180 - 144
= 36 degrees.
