Answer:
k=10
Step-by-step explanation:
4k + 12= 52
minus 12 on both sides
4k=40
now divide by 4
k=10
Answer:
m < EAD = 29 degrees
m < CAB = 119 degrees
Given :
The question states that m < CAE = m<FAB = 61 degrees and m<DAF = 90 degrees
Solution:
1. Since line CAF and EAB intersect each other, m<CAF = m< EAF - (opposite vertical angles are equivalent)
2. m<BAC + m<EAC = 180 degrees (sum of linear pair)
3. m<CAB = 180 degrees - m<EAC
4. Equation 1: m<CAB = m<EAF = 119 degrees
5. m<EAF = m<EAD + m< DAF
6. m<EAD = m<EAF - m<DAF
7. m<EAD = 119 degrees-90 degrees = 29 degrees
Hope this helps!!! :)
Attached photo work is created by another brainly user named tallinn.
Click on this link to find his work and possibly more information of the answer. Thanks!
Answer:
49
Step-by-step explanation:
20+4=24 24+25=49
Given:
Circle C and circle R are similar.
The length of arc AB is 
The radius of circle C (AC) = 4 unit
The radius of circle R (QR) =6 unit
To find the length of arc QP.
Formula
The relation between s, r and
is

where,
s be the length of the arc
r be the radius
be the angle.
Now,
For circle C
Taking r = 4
According to the problem,

or,
[ eliminating
from both side]
or, 
or, 
Again,
For circle R
Taking, r = 6 and
we get,
The length of arc QP is

or, 
Hence,
The length of QP is
. Option C.
Answer:
113.04 cubic units. ".04" is four hundredths.
(the units are not given here. They could be cubic feet, cubic inches, cubic meters, cubic centimeters. or other measurements.)
Step-by-step explanation:
To find volume we need to multiply the area of the base times the height.
The base of a cylinder is a circle.
The area is πr²
The given radius here is 3
3² is 9
π × 9 using 3.14 is 28.26
Multiply that area by the given height, 4
28.26 × 4 = 113.04
The volume if this cylinder is 113.04 cubic units.