Find the measure of the numbered angle.

Mathematics

1 answer:

Mila [183]4 years ago

4 0

The angle adjacent to angle 6 is the one we need to find first. To do this, add the measures of the intercepted arcs and divide by 2. 60 + 50 = 110, and half of that is 55. That means that both adjacent angles to the angle 6 are 55 (vertical angles are congruent). The measure of all the angles added together is 360 and angle 6 is vertical to the other "sideways" angle, so they are congruent as well. 360 - 55 - 55 = 250. Split that up between angle 6 and its vertical angle to get that each of those measure 125. Angle 6 measures 125, choice b from above.

You might be interested in

6sacks of potatoes weigh 122.4 kg and 4 sacks of onions weigh 50 kg. What is the total amount of 1 sack of potatoes and 1 sack o

lys-0071 [83]

Answer: See explanation

Step-by-step explanation:

6 sacks of potatoes weigh 122.4 kg

1 sack would weigh 122.4 kg ÷ 6

122.4 ÷ 6 = 20.4

1 sack of potatoes weighs 20.4 kg

4 sacks of onions weigh 50 kg

1 sack would weigh 50 kg ÷ 4

50 ÷ 4 = 12.5

1 sack of onions weighs 12.5 kg

4 0

3 years ago

Solve on the interval [0,2pi): 2cscx+5=1

pantera1 [17]

$x\in[0,\ 2\pi)\\\\2\csc x+5=1\ \ \ \ |-5\\\\2\csc x=-4\ \ \ \ |:2\\\\\csc x=-2\\\\\dfrac{1}{\sin x}=-2\to\sin x=-\dfrac{1}{2}\to x=-\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{7\pi}{6}+2k\pi\\\\x\in[0,\ 2\pi)\to x=-\dfrac{\pi}{6}+2\pi=\dfrac{11\pi}{6}\ \vee\ x=\dfrac{7\pi}{6}\\\\Answer:\ \boxed{D.\ \dfrac{7\pi}{6},\ \dfrac{11\pi}{6}}}$

7 0

3 years ago

Read 2 more answers

Peter attends 6 lessons each week . A year he attends 52 weeks. But he missed 5 classes how many lessons did he attend during th

VMariaS [17]

You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.

6 • 52 = 312

He could potentially take 312 lessons in one year.

Now that you know this information, you simply subtract the days he missed from that total.

312 - 5 = 307

Your final answer: Peter took 307 lessons during the year.

4 0

3 years ago

What is 2+3 and how do you solve that answer

Elden [556K]

5. Put 2 of fingers up . Then put 3 more fingers up . Count the total

3 0

3 years ago

Read 2 more answers

4/5(p+1)=1 wgat equals p

jeka94

Answer:

p= 1/4 or 0.25