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
evablogger [386]
3 years ago
10

PLEASE ANSWER QUICK! I REALLY NEED HELP!

Mathematics
1 answer:
Katarina [22]3 years ago
4 0

Answer:

a) Angle 1 = Value in degree = 95°

b)Angle 2 = Value in degree = 77°

c) Angle 3 = Value in degree = 85°

d) Angle 4 = Value in degree = 103°

Step-by-step explanation:

We use circle theorems to solve for this above question.

a) Angle 1 = Value in degree = 95°

Inscribed Angle is 1/2 of an Intercepted Arc

From the diagram, Angle 1 intersects at Arc B and Arc C

This means Angle 1 = (B + C)/ 2 =

Arc B = 100°

Arc C = 90°

Angle 1. = (100° + 90°)/ 2 = 190/ 2 = 95°

b)Angle 2 = Value in degree = 77°

From the diagram, Angle 2 intersects at Arc C and Arc D

Inscribed Angle is 1/2 of an Intercepted Arc

This means Angle 1 = (C+ D)/ 2

C = 90°

D = 64°

Angle 1. = (90° + 64°)/ 2 = 154/ 2 = 77°

c) Angle 3 = Value in degree = 85°

From the diagram, we can see that Angle 1 is opposite Angle 3, hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 1 + Angle 3 = 180°

Angle 1 = 95°

95° + Angle 3 = 180°

Angle 3 = 180° - 95° = 85°

d) Angle 4 = Value in degree = 103°

From the diagram, we can see that Angle 2 is opposite Angle 4,

Hence,

Opposite angles are supplementary which means their addition = 180°

Mathematically:.Angle 2 + Angle 4 = 180°

Angle 2 = 77°

77° + Angle 3 = 180°

Angle 4 = 180° - 77° = 103°

You might be interested in
Write the equation for the line that passes through the points (4, 5) and<br> (6,9). *
N76 [4]

Answer:

y = 2x + 1

Step-by-step explanation:

first find slops

(9-5)/(6-4) = 4/2 = 2 = m

y = mx + b

5 = 2(2) + b

1 = b

y = 2x + 1

5 0
3 years ago
Read 2 more answers
What is the missing statement in step 3 of the proof? mAngle1 = mAngle2 mAngle1 + mAngle2 = 90° mAngle2 = mAngle3 mAngle2 + mAng
zalisa [80]

Answer:

answer is 90

if m^2=m^3

then, 90+90=180

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Solve the following please
Dima020 [189]

Answer:

x=4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
what is the volume of is a rectangular prism that is 14 inches long, 7 inches wide, and 10 inches high?
igomit [66]

Answer:

Step-by-step explanation:

980

7 0
2 years ago
Use the distributive property to simplify 2-(-3a+4)
dolphi86 [110]

Answer:

3a -2

Step-by-step explanation:

2-(-3a+4)

Distribute the minus sign to each term inside the parentheses

2 - -3a -4

2 + 3a -4

Combine like terms

2-4 +3a

-2 +3a

We usually put the variables first

3a -2

4 0
3 years ago
Read 2 more answers
Other questions:
  • a student named sarah hill follow the steps below to find her magic number 1 find the number of letters in her first name 2 find
    11·2 answers
  • Find the slope of the line<br><br>A) 4<br><br>B) 1<br><br>C) -1<br><br>D) -4
    13·2 answers
  • HELP
    12·2 answers
  • On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has
    9·2 answers
  • Help what are the multiples of 8
    11·1 answer
  • In May 2010, the Pew Research Center for the People &amp; the Press carried out a national survey to gauge opinion on the Arizon
    9·1 answer
  • Solve.<br> 9 + 7x = 7x^2
    11·1 answer
  • Please help me solve this question about transformation of graphs
    15·1 answer
  • Helppppp please !!!! ​
    10·1 answer
  • If a jeep averages 30.5 miles per gallon, how many miles will it travel on 14 gallons of gas?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!