What is the value of x? (x + 40)° (3x)° A. 20 B.35 C. 60 D. 70

2 answers:

4 0

Hello!

We are given the equation below.

x+40=3x

We want to get all of the variables on side. First of all let's subtract 40 from both sides.

x=3x-40

Now we rearrange our equation so the commutative property will work.

x=3x+(-40)
x=-40+3x

Now we subtract 3x from both sides.

-2x=-40

We divide both sides by -2.

x=20

Our answer is A) 20.

I hope this helps!

Nezavi [6.7K]3 years ago

4 0

Answer with explanation:

It is given that

⇒ (x+40)°=(3x)°

Subtracting ,x from both sides

⇒3 x° -x° =40°

⇒ 2 x°=40°

Dividing by, 2 on both sides

x=20°

Option A:→20°

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Read 2 more answers

In ΔUVW, the measure of ∠W=90°, WV = 39, UW = 80, and VU = 89. What ratio represents the cosine of ∠U?

kumpel [21]

Answer:

cos ∅ = 80/89

Step-by-step explanation:

As required from the question the picture below represent a triangle UVW . The angle W = 90°. The sides WV = 39 , VU = 89 and UW = 80. The triangle forms a right angle triangle .

Such triangle one can establish trigonometric relationship using the SOHCAHTOA principle.

The question requested us to find the ratio that represent the cosine of ∠U.

The ∠U is represented as ∅ .

Therefore,

cos ∅ = adjacent/hypotenuse

adjacent = 80. The adjacent side is the non hypotenuse side that is next to the given angle.

hypotenuse = 89 . Hypotenuse is the longest side of a right angle triangle and it opposite the right angle.

cos ∅ = adjacent/hypotenuse

cos ∅ = 80/89