Angle 1 and Angle 2 form a linear pair. If the measure of angle is 113°, find the measure of angle 2.

Mathematics

1 answer:

LuckyWell [14K]3 years ago

5 0

Answer:

<2 =67

Step-by-step explanation:

A linear pair adds to 180 degrees

<1 + <2 =180

113+ <2 = 180

<2 = 180-113

<2 =67

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Rewrite the expression with a rational exponent as a radical expression.

Nuetrik [128]

Answer:

Rewriting the expression $(3^\frac{2}{3})^\frac{1}{6}$ with a rational exponent as a radical expression we get $\mathbf{\sqrt[9]{3} }$

Step-by-step explanation:

We need to rewrite the expression $(3^\frac{2}{3})^\frac{1}{6}$ with a rational exponent as a radical expression.

The expression given is:

$(3^\frac{2}{3})^\frac{1}{6}$

First we will simply the expression using exponent rule $(a^m)^n=a^{mn}$

$(3^\frac{2}{3})^\frac{1}{6}\\=(3^\frac{2}{18})$

As we know 2 and 18 are both divisible by 2, we can write

$=(3^\frac{1}{9})$

Now we know that $a^\frac{1}{9}=\sqrt[9]{a}$

Using this we get

$=\sqrt[9]{3}$

So, rewriting the expression $(3^\frac{2}{3})^\frac{1}{6}$ with a rational exponent as a radical expression we get $\mathbf{\sqrt[9]{3} }$

3 0

3 years ago

The bar chart shows the percent of times each color marble was drawn from a bag after 1000 draws with replacement after each dra

DiKsa [7]

Answer:

Following are the solution to this question:

Step-by-step explanation:

In this question, the graph file is missing so, its solution can be defined as follows:

When the bag includes 20 marbles, each will be drawn 5% of the time on average.

The bar chart shows that nearly 50% of the workforce red marbles are drawn, and about 25% of the time blue and white marbles are drawn. so, the equation is:

$\to \frac{50\%}{5\%}= \frac{50 \times 100}{5\times 100}=\frac{50}{5} = 10 \ red \ marbles\\\\\to \frac{25\%}{5\%}= \frac{25 \times 100}{5\times 100}=\frac{25}{5} = 5\ blue \ marbles$