∠uvw and ∠xyz are complementary angles, m∠uvw=(x−10)º , and m∠xyz=(4x−10)º .

we know that

if ∠UVW and ∠XYZ are complementary angles

then

∠UVW + ∠XYZ=90°

∠UVW=x-10

∠XYZ=4x-10

substitute the values

(x-10)°+(4x-10)°=90°

Solve for x

5x-20=90

5x=90+20

5x=110

x=22°

∠UVW=x-10=22-10=12°

∠XYZ=4x-10=4*22-10=78°

therefore

the answer is

x=22°

∠UVW=12°

∠XYZ=78°

Using the concept of complementary angles, it is found that:

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The measure of angle UVW is 12º.

The measure of angle XYZ is 78º.

A similar problem is given at link

answer: 32.68

step-by-step explanation:

x=2

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!