Answer:
d) 135º
Step-by-step explanation:
Note that the angle DCU is the sum of the angles DCB and BCU. The angle DCB is 90º because A B C D is a square, then all its angles are equal to 90º.
After attaching B U C to A B C D, we obtain a trapezoid A U C D. Since A U C D has at least one pair of parallel sides, then AU should be parallel to CD, thus the angle CBU must be 90º.
B U C is isoceles, so we conclude that other two angles must have the same size, and due to the sum of the angles of a triangle being 180º, then both BUC and BCU are equal to 45º
As a result, the angle DCU is equal to 90º+45º = 135º. Option d is the correct one.
Answer:
7sqrt(15) - 5sqrt(6)
------------------------------
45
Step-by-step explanation:
7 -sqrt(10)
-----------------------
3 sqrt(5) *sqrt(3)
7 -sqrt(10)
-----------------------
3 sqrt(15)
Multiply the top and bottom by sqrt(15)/ sqrt(15)
7 -sqrt(10) sqrt(15)
----------------------- * ------------
3 sqrt(15) sqrt(15)
(7 -sqrt(10))* sqrt(15)
-----------------------------------
3 *15
Distribute
7sqrt(15) - sqrt(150)
------------------------------
45
sqrt(ab) =sqrt(a) sqrt(b)
150 = 25*6
7sqrt(15) - sqrt(25)sqrt(6)
------------------------------
45
7sqrt(15) - 5sqrt(6)
------------------------------
45
Let the ratio be termed as 4x and 2x.
Now,
4x + 2x= 90
or,6x=90
or,x=90/6
or,x=15
So the measure of angles are,4x= 4×15
= .........
and,2x=2×15 =.....
As per the problem,
Rhonda bought a new laptop for $800.
The laptop depreciates, or loses, 20% of its value each year.
The value of the laptop at a later time can be found using the formula

Here we have
P=$800
r=20%=0.20
t=2 years
Substitute the values in equation (1) we get

The laptop be worth in two years will be $512.
Answer:
your mom
Step-by-step explanation:is gay