1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sauron [17]
3 years ago
14

PLEASE ANSWER ASAP!

Mathematics
2 answers:
lara [203]3 years ago
5 0

x = 56°

Solution:

Part A:

Given data:

2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.

Part B:

<em>Sum of the adjacent angles in the straight line is 180°.</em>

2x + 68° = 180°

Subtract 68° from 180°, we get

⇒ 2x = 112°

Divide by 2 on both sides, we get

⇒ x = 56°

The value of x is 56°.

Part C:

By part A and part B,

2x° + 68° = 2(56°) + 68°

               = 112° + 68°

               = 180°

2x° + 68° = 180°

Hence proved.

horrorfan [7]3 years ago
5 0

x = 56°

Solution:

Part A:

Given data:

2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.

Part B:

Sum of the adjacent angles in the straight line is 180°.

2x + 68° = 180°

Subtract 68° from 180°, we get

⇒ 2x = 112°

Divide by 2 on both sides, we get

⇒ x = 56°

The value of x is 56°.

Part C:

By part A and part B,

2x° + 68° = 2(56°) + 68°

              = 112° + 68°

              = 180°

2x° + 68° = 180°

You might be interested in
I need help. This month, Judy has checked out 20 books from the library, and Four-fifths of them were biographies. Which express
irina [24]

Answer:

20*(4/5)

Step-by-step explanation:

The expression you will use is :

20*(4/5) = 80/5 = 16

16 is 80 percent of 20 wich equals 4 fifths that's true

3 0
3 years ago
(1+1/3)^2−2/9<br> Evaluate.
True [87]

Answer:

14/9

Step-by-step explanation:

(1+1/3)^2−2/9

=(4/3)^2-2/9

=16/9-2/9

=14/9

8 0
4 years ago
Read 2 more answers
(SOMEONE PLEASE HELP ME ) A central angle in a circle has a measure of 1 radian. The length of the arc it intercepts is 3.07 in.
Naddika [18.5K]
The total circle has a measure of 2π radian, so this portion is 1/(2π) of the whole circle
the circumference of the whole circle is 2πr
1/(2π) of 2πr=3.07
r=3.07
7 0
4 years ago
Read 2 more answers
Two lighthouses are located 60 miles from one another on a north-south line. If a boat is spotted S 21o E from the northern ligh
jasenka [17]

Answer:

(A)The northern lighthouse is 8.2 miles closer than the southern lighthouse.

Step-by-step explanation:

The triangle attached represents the given problem.

First, let us determine the distance of the Boat from each of the lighthouse.

In Triangle ABC,

∠A+∠B+∠C=180 degrees

21+∠B+16=180

∠B=180-37=143 degrees.

Using Law of Sines

\frac{a}{Sin A}=\frac{b}{Sin B}\\\frac{a}{Sin 21^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\a*sin143=60*sin21\\a=60*sin21\div sin143\\a=35.73 miles

Similarly

\frac{c}{Sin C}=\frac{b}{Sin B}\\\frac{c}{Sin 16^0}=\frac{60}{Sin 143^0} \\\text{Cross Multiply}\\c*sin143=60*sin16\\c=60*sin16\div sin143\\c=27.48 miles

Difference in Distance =35.73-27.48=8.25 miles

Therefore, the northern lighthouse is 8.2 miles closer than the southern lighthouse.

8 0
4 years ago
A circular ice rink is being built in town. Around the ice rink, a walkway will be built. The ice rink will have a diameter of 8
Archy [21]
 so the ice rink diameter is 80 feet what mean that the radius of ice rink is 40 feet the walkway is 10 feet wide so 10+40=50 what mean that the radius and the walkway wide make 50 feet length together 
using this length area = pi*r^2 = 3,14*(50)^2 = 7850 feet squared
area of ice rink = 3,14*40^2 = 5024 feet squared 

area of the walkway = 7850-5024 = 2826 feet squared 

hope helped 
8 0
4 years ago
Read 2 more answers
Other questions:
  • Name the intersection of plane N and line AE
    5·1 answer
  • Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 26 ​miles?
    9·1 answer
  • What is the area of rectangle with the length of 5/8 in a width of 4/9 foot​
    8·1 answer
  • 15 + 1/4p = 2 <br> A.60 B.-52 C.52 D.-60
    14·1 answer
  • HELP PLEASEEEEEEEEEEE
    13·1 answer
  • Help pls ............
    9·1 answer
  • What is the formula for calculating Cone?​
    13·2 answers
  • Can someone help me with this 6th grade math problem? 1 1/30 + 1/4 = ?
    8·2 answers
  • This season, the probability that the Yankees will win a game is 0.61 and the probability that the Yankees will score 5 or more
    14·1 answer
  • On Monday, a bakery sold 67 dozen cookies. How many total cookies did the bakery sell?​
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!