Mathematics: how do i find the measure of angle h

how do i find the measure of angle h, №12705872, 15.06.2020 04:11

Mathematics

Given: Angle1 is complementary to Angle2. Angle2 is complementary to Angle3. Prove: mAngle1 = mAngle3 3 separate angles are shown. The angles are labeled 1, 2, 3 from left to right. A 2-column table with 7 rows. Column 1 is labeled statements with the entries angle 1 is complementary to angle 2, angle 2 is complementary to angle 3, question mark, measure of angle 1 = 90 degrees minus measure of angle 2, measure of angle 2 + measure of angle 3 = 90 degrees, measure of angle 3 = 90 degrees minus measure of angle 2, measure of angle 1 = measure of

Step-by-step answer

P Answered by PhD

45

B: mAngle1 + mAngle2 = 90°

Step-by-step explanation:

Just took the test :D

Mathematics

Given: circle o; angle a intercepts arc b c d ; angle d intercepts arc b c prove: angle a is-congruent-to angle d circle o is shown. angles a and d intercept arc b c. angles b and c intercept arc a d. two statements are missing reasons. what reason can be used to justify both statements 2 and 3? statements reasons 1. circle o; angle a intercepts arc b c. angle d intercects arc b c 1. given 2. measure of angle a = one-half (measure of arc b c) 2. ? 3. measure of angle d = one-half (measure of arc b c) 3. ? 4. measure of angle a = measure of angle

Step-by-step answer

P Answered by Specialist

87

A. Inscribed angles theorem

Step-by-step explanation:

A.inscribed angles theorem

B.third corollary to the inscribed angles theorem

C.central angle of a triangle has the same measure as its intercepted arc.

D.Angle formed by a tangent and a chord is half the measure of the intercepted arc.

Just took the unit test on edgen and got 100

Mathematics

Given: mangleedf = 120°; mangleadb = (3x)°; manglebdc = (2x)° prove: x = 24 3 lines are shown. a line with points e, d, c intersects a line with points a, d, f at point d. a line extends from point d to point b in between angle a d c. angle e d f is 120 degrees, angle c d b is (2 x) degrees, and angle b d a is (3 x) degrees. what is the missing reason in step 3? a 2-column table has 9 rows. column 1 is labeled statements with entries measure of angle e d f = 120 degrees measure of angle a d b = (3 x) degrees measure of angle b d c = (2 x) degrees,

Step-by-step answer

P Answered by PhD

74

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* Look to the attached figure

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1) Column (2)

m∠EDF = 120° given

m∠ADB = 3 x given

m∠BDC = 2 x given

∠EDF and ∠ADC are vertical angles defin. of vert. ∠s

∠EDF is congruent to ∠ADC vertical angles are

congruent

m∠ADC = m∠ADB + m∠BDC angle add. post.

m∠EDF = m∠ADC defin. of cong.

m∠EDF = m∠ADB + m∠BDC substitution

120° = 3 x + 2 x substitution

120 = 5 x addition

x = 24 division

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

angles then they are congruent according to vertical angle

theorem

Given: mangleedf = 120°; mangleadb = (3x)°; manglebdc = (2x)° prove: x = 24 3 lines are shown. a

Mathematics

Worth 20word bank a. congruent b. rays c. right d. degrees e. three f. endpoint g. arcs h. vertex i. segments j. ruler k. 360o l. obtuse m. protractor n. lines o. 180o p. acute fill in the blank with letter of the word that completes the sentence. 1. the sides of an angle 2. when using three letters to name an angle, the middle letter represents 3. a(n) is a tool used to measure angles 4. angles are measured in units 5. there are methods for naming angles. 6. a circle 7. a( angle measures less than 90o 8. a straight angle measures 9. angles have

Step-by-step answer

P Answered by Master

35

1. Segments
2. Vertex
3. Protractor
4. Degrees
5. Three
6. 360 degrees
7. Acute
8. 180 degrees
9. Right
10. Lines
11. Obtuse
12. Endpoint
13. Right

Mathematics

Given: circle o; angle a intercepts arc b c d ; angle d intercepts arc b c prove: angle a is-congruent-to angle d circle o is shown. angles a and d intercept arc b c. angles b and c intercept arc a d. two statements are missing reasons. what reason can be used to justify both statements 2 and 3? statements reasons 1. circle o; angle a intercepts arc b c. angle d intercects arc b c 1. given 2. measure of angle a = one-half (measure of arc b c) 2. ? 3. measure of angle d = one-half (measure of arc b c) 3. ? 4. measure of angle a = measure of angle

Step-by-step answer

P Answered by Specialist

87

A. Inscribed angles theorem

Step-by-step explanation:

A.inscribed angles theorem

B.third corollary to the inscribed angles theorem

C.central angle of a triangle has the same measure as its intercepted arc.

D.Angle formed by a tangent and a chord is half the measure of the intercepted arc.

Just took the unit test on edgen and got 100

Mathematics

Given: mangleedf = 120°; mangleadb = (3x)°; manglebdc = (2x)° prove: x = 24 3 lines are shown. a line with points e, d, c intersects a line with points a, d, f at point d. a line extends from point d to point b in between angle a d c. angle e d f is 120 degrees, angle c d b is (2 x) degrees, and angle b d a is (3 x) degrees. what is the missing reason in step 3? a 2-column table has 9 rows. column 1 is labeled statements with entries measure of angle e d f = 120 degrees measure of angle a d b = (3 x) degrees measure of angle b d c = (2 x) degrees,

Step-by-step answer

P Answered by PhD

74

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* Look to the attached figure

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1) Column (2)

m∠EDF = 120° given

m∠ADB = 3 x given

m∠BDC = 2 x given

∠EDF and ∠ADC are vertical angles defin. of vert. ∠s

∠EDF is congruent to ∠ADC vertical angles are

congruent

m∠ADC = m∠ADB + m∠BDC angle add. post.

m∠EDF = m∠ADC defin. of cong.

m∠EDF = m∠ADB + m∠BDC substitution

120° = 3 x + 2 x substitution

120 = 5 x addition

x = 24 division

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

angles then they are congruent according to vertical angle

theorem

Mathematics

Worth 20word bank a. congruent b. rays c. right d. degrees e. three f. endpoint g. arcs h. vertex i. segments j. ruler k. 360o l. obtuse m. protractor n. lines o. 180o p. acute fill in the blank with letter of the word that completes the sentence. 1. the sides of an angle 2. when using three letters to name an angle, the middle letter represents 3. a(n) is a tool used to measure angles 4. angles are measured in units 5. there are methods for naming angles. 6. a circle 7. a( angle measures less than 90o 8. a straight angle measures 9. angles have

Step-by-step answer

P Answered by Specialist

35

1. Segments
2. Vertex
3. Protractor
4. Degrees
5. Three
6. 360 degrees
7. Acute
8. 180 degrees
9. Right
10. Lines
11. Obtuse
12. Endpoint
13. Right

Mathematics

1. which angles are adjacent angles? three lines intersect at point b. one line goes through point c in the upper left and point m in the lower right. a second line goes through point y in the lower left and point x in the upper right. the third line is horizontal through point f on the left and g on the right. (1 point) anglegmb and anglefbc anglecbx and anglefbc anglexbg and anglefbc anglemby and anglefbc 2. find the sum of the interior angles of a nonagon. (1 point) 140° 1,620° 1,260° 1,450° 3. the measure of angle3 is101º. find the measure

Step-by-step answer

P Answered by PhD

17

1. Which angles are adjacent.

CBX and FBC

Step-by-step explanation:

Okay so an adjacent angle is two angles with a common side. This means angles CBX and FBC are adjacent because they have the common side of "BC/CB"

Answer

2. Find the sum of the interior angles of a nonagon

1,260

Step-by-step explanation:

A nonagon is a 9 sided polygon with angles of 140. It wants the sum of all the angles. Since it has 9 sides, it has 9 angles. Now you can add 140, 9 times, or do 140 x 9. This gets you 1,260.

Answer

3. The measure of angle 3 is 101. find the measure of angle 4.

79

Step-by-step explanation.

Okay so both angles are against the same intersecting line, this means their sum must be 180. All we have to do here is subtract 180 and 101. this gets us 79.

Answer

4. Find the measure of each interior angle of a regular polygon with 12 sides.

1800

Step-by-step explanation.

Okay so a 12 sided regular polygon is a dodecagon. This has 12 angles with the degree of 150. This means 150 x 12 just like the 2nd question about nonagons. So 150 x 12 is 1800

Now that i've showed you how to do the first 4 you can apply the rest of the information on your own for 5 and the rest of the test.

Mathematics

Lines a and b in the diagram are parallel. Parallel lines a and b are cut by 2 transversals. At the intersection of line a with the transversals, clockwise from top left, the angles are 45 degrees, 95 degrees, blank, blank, B, 40 degrees. At the intersection of b with a transversal, the angles are blank, A, blank, blank. At the intersection of b with the second transversal, the angles are C, blank, blank, blank. Step 1: measure of angle A = 40 degrees (alternate interior angles). Step 2: measure of angle B = 95 degrees (vertical angles). Step 3:

Step-by-step answer

P Answered by Master

23

C the answer is C

Step-by-step explanation:

Mathematics

Hurry asaptriangle abc is transformed to triangle a′ b′ c′, as shown below: a coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. a triangle abc has a at ordered pair negative 1, 3, b at ordered pair 0, 1, c at ordered pair negative 3, 0. a triangle a prime b prime c prime has a prime at ordered pair negative 1, negative 3, b prime at ordered pair 0, negative 1, c prime at ordered pair negative 3, 0. which equation shows the correct relationship between the measures of the angles of the two triangles? a the measure of angle

Step-by-step answer

P Answered by PhD