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Elenna [48]
10 months ago
8

State the property that justifies each statement:1. If 80 mA, then me = 802. If RS - TU and TU = YP, then RS = YP2.3. If 7x 28,

then x=4344. If VR + TY - EN +TY, then VR = EN55. If m1 = 30 and mz1 = m_2, then m_2 = 30:: Division Property of Equality:: Substitution Property of Equality:: Subtraction Property of Equality:: Symmetric Property of Equality:: Transitive Property of Equality
Mathematics
1 answer:
BabaBlast [244]10 months ago
4 0

Question 3

if 7x = 28

divide both sides by 7

7x/7 = 28/7

x = 4

This is division property of equality

Question 1

if angle m is 80 degrees the m = 80 degrees

this can be a congruent angles or alternate angles are equal

this is symmetric property of equality

Question 5

m1 = 30 and mz1 = m2, then m2 = 30

this property is transitive property of equality

Question 2

if RS - TU and TU =YP, then RS = YP

this means you can substitute RS with YP

then we have our new expression as

YP - YP

this is substitution property of equality, this is because we are substituting a function with another function

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If the silver accounts for 84% of the bar's weight, what is the weight of the silver?
lidiya [134]
Weight=8.15 ounces
silver=84%of the total weight
silver=(84/100)×8.15 ounces
silver= 0.84×8.15 ounces
silver=7.5795 ounces
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8 0
2 years ago
1) if we add ____ to 194562 then it is divisible by 5 and 10 both
almond37 [142]

Step-by-step explanation:

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2 years ago
Rewrite with only sin x and cos x.
Annette [7]

Option A

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)

\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

7 0
2 years ago
What percent is equivalent to 9/4 ?<br> A) .225%<br> B) 22.2%<br> C) 44.4%<br> D) 225%
ki77a [65]
Your answer would be D. 225%. 9/4 equals to 2.25 which multiplied but a 100 to make the percentage equals 225%.
8 0
3 years ago
3. Your friend has eight sweatshirts. Three sweatshirts are green, one is white, and
Sveta_85 [38]

Answer:

3/14

Step-by-step explanation:

P (B then B) = 4/8 x 3/7 or 1/2 x 3/7

6 0
2 years ago
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