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kati45 [8]
3 years ago
8

Please help ASAP! It’s due in 20 min and I have complete it! I just need the statements and reasons! Thank you

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

1) <11 and <14 are Same-Side Exterior Angles causing them to be supplementary.

2. <8 and <9 are Same-Side Interior Angles causing them to be supplementary.

Step-by-step explanation:

See answer above.

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Five times the sum of m and n in written expression
frozen [14]

Answer:

5(m+n)

Step-by-step explanation:

5 0
3 years ago
PLEASE PEOPLE, HELP ME!! Geometry
Oksanka [162]
I use the sin rule to find the area

A=(1/2)a*b*sin(∡ab)

1) A=(1/2)*(AB)*(BC)*sin(∡B)
sin(∡B)=[2*A]/[(AB)*(BC)]

we know that
A=5√3
BC=4
AB=5
then

sin(∡B)=[2*5√3]/[(5)*(4)]=10√3/20=√3/2
(∡B)=arc sin (√3/2)= 60°

 now i use the the Law of Cosines 

c2 = a2 + b2 − 2ab cos(C)

AC²=AB²+BC²-2AB*BC*cos (∡B)

AC²=5²+4²-2*(5)*(4)*cos (60)----------- > 25+16-40*(1/2)=21

AC=√21= 4.58 cms

the answer part 1) is 4.58 cms

2) we know that

a/sinA=b/sin B=c/sinC

and

∡K=α

∡M=β

ME=b

then

b/sin(α)=KE/sin(β)=KM/sin(180-(α+β))

KE=b*sin(β)/sin(α)

A=(1/2)*(ME)*(KE)*sin(180-(α+β))

sin(180-(α+β))=sin(α+β)

A=(1/2)*(b)*(b*sin(β)/sin(α))*sin(α+β)=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

KE/sin(β)=KM/sin(180-(α+β))

KM=(KE/sin(β))*sin(180-(α+β))--------- > KM=(KE/sin(β))*sin(α+β)

the answers part 2) are

side KE=b*sin(β)/sin(α)
side KM=(KE/sin(β))*sin(α+β)
Area A=[(1/2)*b²*sin(β)/sin(α)]*sin(α+β)

5 0
3 years ago
A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove
Virty [35]
The answer is 224.7 you got to turn 30% into decimal which is 0.30 
then multiply 0.30 and 749 which equals 224.7

6 0
3 years ago
Read 2 more answers
Pls help me in this
ddd [48]

Answer:

12 x 12 = 144

Step-by-step explanation:

12 times by 12 is 144

8 0
3 years ago
Read 2 more answers
How do you find the lateral surface area of a cylinder?
AlekseyPX
Right cylinderSolve for lateral surfaceAL=2πrh<span><span><span>rRadius</span><span>hHeight</span></span><span><span>h</span>
</span></span>
3 0
3 years ago
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