Answer:
m∠CDE = 35°
Step-by-step explanation:
The exterior angle CDE is equal to the sum of the opposite interior angles, BCD and DBC. So, you have ...
6x -13 = (2x+10) +(x +1)
3x -24 = 0 . . . . . . . . . . . . subtract the right side, simplify
x -8 = 0 . . . . . . . . . . . . . . divide by 3
x = 8 . . . . . . . . . . . . . . . . . add 8
6x -13 = 6·8 -13 = 35 . . . . substitute for x in the expression for CDE
The measure of angle CDE is 35°.
Answer:
d- m<1 = 58
Step-by-step explanation:
To find this answer we have to do multiple steps.
So we know that vertical angles are congruent by the definition of vertical angles, <u><em>look at the picture</em></u>
So, we also know that a triangle =180 degrees
therefore we can add 32 and 90 to find the 3rd angle measure
32+90=122, then 180(because that's the total of the triangle)-122=58
So, m<1=58 degrees
Answer:
x= 35.7339234
Step-by-step explanation:
cos(52)= 22/x
x= 22/cos(52)
Filipe can choose his favorite from 4 bands, so he has 4 ways to determine the favorite.
Then only 3 bands left and he can choose his second favorite in 3 ways. After selecting second favorite, only 2 bands left and there are 2 ways to select the third favorite.
Use the product rule to count all possible votes:
4·3·2=24 ways.
Answer: 24.
Answer:
an = 6n -2
Or
an+1 = an +6
Step-by-step explanation:
to go from 4 to 10 we add 6 tiles
to go from 10 to 16 we add 6 tiles
We add 6 tiles each time
an = a1 + d(n-1) where an is the value of the nth term a1 is the first term d is the common factor and n is the term number
an = 4 + 6( n-1)
an = 4 + 6n -6
an = 6n -2
Or
an+1 = an +6
