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3 years ago

What is the measure of z?

Mathematics

1 answer:

Lady bird [3.3K]3 years ago

3 0

Answer:

The missing angle is 24 degrees

Step-by-step explanation:

The two angles form a straight line so they add to 180 degrees

x+156 = 180

Subtract 156 from each side

x+156-156 = 180- 156

x = 24

The missing angle is 24 degrees

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Complete the sentence.<br> 9 is 18% of

vfiekz [6]

Answer: 50%

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

2 years ago

Suppose the correlation between height and weight for adults is +0.40. What proportion (or percent) of the variability in weight

Schach [20]

Answer:

We are given the correlation between height and weight for adults is 0.40.

We need to find the proportion of the variability in weight that can be explained by the relationship with height.

We know that coefficient of determination or R-square measures the proportion or percent of variability in dependent variable that can be explained by the relationship with independent variable. There the coefficient of determination is given below:

$R^{2}=r^{2}=0.40^{2}=0.16$