I have seen a Question already answered Today which was this, and the Answer is B.
Answer:
(1) ΔMAN ≅ ΔBOY
(2) ΔMAT ≅ ΔRUG
(3) ΔEBN ≅ ΔUHR
(4) ΔTOP ≅ ΔLID
(5) ΔCAT ≅ ΔDOG
(6) ΔITP ≅ ΔLOH
Step-by-step explanation:
The following combinations of the congruent triangle facts will be sufficient to prove triangles congruent.
The combinations are:
(1) SSS (side-side-side) : If three sides of a triangle are congruent to three sides of another triangle then the triangles are congruent.
(2) SAS (side-angle-side) : If two sides and included angle of a triangle are congruent to another triangle then the triangles are congruent.
(3) ASA (angle-side-angle) : If two angles and included side of a triangle are congruent to another triangle then the triangles are congruent.
(4) RHS (right angle-hypotenuse-side) : If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent.
Part (1):
As we are given two triangles.
Side AM = Side OB
Side MN = Side BY
Side AN = Side OY
That means,
ΔMAN ≅ ΔBOY
Part (2):
As we are given two triangles.
Side MA = Side RU
Side MT = Side RG
Side AT = Side UG
That means,
ΔMAT ≅ ΔRUG
Part (3):
As we are given two triangles.
Side EB = Side UH
Side BN = Side HR
Side NE = Side RU
That means,
ΔEBN ≅ ΔUHR
Part (4):
As we are given two triangles.
Side OT = Side IL
Side OP = Side ID
Side PT = Side DL
That means,
ΔTOP ≅ ΔLID
Part (5):
As we are given two triangles.
Side AC = Side OD
Side AT = Side OG
Side TC = Side GD
That means,
ΔCAT ≅ ΔDOG
Part (6):
As we are given two triangles.
Side TP = Side OH
Side IT = Side LO
Side IP = Side LH
That means,
ΔITP ≅ ΔLOH
Answer:
J=b+3
Step-by-step explanation:
Answer:
Pretax cost of debt is 5.94%
After tax cost of debt is 4.63%
Step-by-step explanation:
The pretax cost of the debt is the yield to maturity on the debt issuance,which can be computed using the rate formula in excel:
=rate(nper,pmt,-pv,fv)
nper is the number of semi-annual interest payments payable by the bond from year 3 onward ,that is the number of years to maturity 12*2=24
pmt is the semi-annual interest payable by the bond issuer which is face value of the bond ,$1000*5%/2=$25
pv is the current price of the bond which 92% of face value i.e 92%*$1000=$920
fv is the face value of the bond at $1000
=rate(24,25,-920,1000)
rate=2.97%
the rate calculated is a semi-annual rate,annual rate =2.97%*2
=5.94%
The pretax cost of debt is 5.94%
After tax cost of debt=pretax cost of debt*(1-t)
t is the tax rate of 22%
after tax cost of debt =5.94%*(1-22%)
=4.63%
Perimeter is the distance around the shape.
Formula for rectangle P = 2l + 2w
