25% of 24 = 6
Therefore 24+6=$30 is the price on the price tag
Answer:
So far I have gotten 3m + n, there is not equal sign so I am unable to finish this question further.
Step-by-step explanation:
Answer:
The completed proof is presented as follows;
The two column proof is presented as follows;
Statements
Reason
1.
║
, J is the midpoint of
1. Given
2. ∠IHJ ≅ ∠JLK
2. Alternate angles are congruent
3. ∠IJH ≅ ∠KJL
3. Vertically opposite angles
4.
≅
4. Definition of midpoint
5. ΔHIJ ≅ ΔLKJ
5. By ASA rule of congruency
Step-by-step explanation:
Alternate angles formed by the crossing of the two parallel lines
and
, by the transversal
are equal
Vertically opposite angles formed by the crossing of two straight lines
and
are always equal
A midpoint divides a line into two equal halves
Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK
in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent
≅
, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.
Answer:
1. Arc BC = 78°
2. Arc ABC = 180°
3. Arc ADB = 258°
4. Arc EC = 102°
Step-by-step explanation:
Question 1 explanation: Since ∠AFE and ∠CFB are vertical angles, that means their angle measure is equal, so Arc BC has an angle measure of 78°.
Question 2 explanation: Because AC is the diameter of circle F, this means that the angle measure of Arc ABC is 180°.
Question 3 explanation: Since the angle measure of AC is 180° and ∠AFE and ∠EFD are 78° and 54° respectively, that means Arc DFC has an angle measure of 48°. Because you already know ∠CFB is 78°, that means Arc ADB has an angle measure of 258°.
Question 4 explanation: You already know Arc DFC is 48°, so Arc EC has an angle measure of 102°.