All categories

3 years ago

Line m is parallel to line n. The measure of angle 2 is 64°. What is the measure of angle 5?

Mathematics

1 answer:

zloy xaker [14]3 years ago

4 0

Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.

Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.

m<5 + m<6 = 180

m<5 + 64 = 180

m<5 = 180 - 64

m<5 = 116

Answer: m<5 = 116 deg.

You might be interested in

Andrew earns 10 points for every word she spells correctly on a quiz. Which equation can be used to find p, the total number of

7nadin3 [17]

Answer:

hope it helped

Step-by-step explanation:

A+w=p

4 0

2 years ago

Read 2 more answers

90 + 12 = 6(15 + 12) Yes or No

quester [9]

Answer:

This is false.

Step-by-step explanation:

90 + 12 = 102.

6(15+12) equals to 6(27) which is 162.

8 0

3 years ago

Read 2 more answers

Analyze the following table of values.<br><br> y=1/2x<br> y=1/2^x2+4<br> y=4^x2+1/2<br> y=4(1/2)x

Fittoniya [83]

The table models an exponential relationship, and the equation of the table is $y = 4(1/2)^x$

<h3>How to analyze the table of values?</h3>

The table of values is given as:

x 0 1 2 3 4

y 4 2 1 1/2 1/4

The above table shows an exponential model

An exponential model is represented as:

$y = ab^x$

When x = 0 and y = 4, we have

$ab^0 = 4$

Evaluate

a = 4

When x = 1 and y = 2, we have

$ab^1 = 2$

Evaluate

$ab = 2$

Substitute 4 for a

4b = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in $y = ab^x$

$y = 4(1/2)^x$

Hence, the equation of the table is $y = 4(1/2)^x$

Read more about exponential models at:

brainly.com/question/11464095

#SPJ1

6 0

2 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Temka [501]

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral: $\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx$

$\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty$

So it is divergent.

7 0

3 years ago

What is -6 multiplied by 1/2

kirill115 [55]

Turn the fraction into a decimal,so 1/2 would be .5 and then multiply that into -6 which would be -3

5 0

3 years ago

Read 2 more answers