Answer:
AGD: 90
EGA: 50-59
BGC: 90
BGF: 50-59
Step-by-step explanation:
pretty easy
Answer:
1. Given
2, Exterior sides on opposite rays
3. Definition of supplementary angles
4. If lines are ||, corresponding angles are equal
5. Substitution
Step-by-step explanation:
For the first one, it is given as shown in the problem. Also in the figure you can see that line s is parallel to line t.
2. ∠5 and ∠7 are adjacent, they share a common side. Their non-common side are rays that go in a direction opposite of each other. Also you can see that they form a straight line, which means that they are supplementary.
3. Supplementary angles simply put are angles that sum up to 180°. You know this for sure because of proof 2, specifically the part that they form a straight line. The measure of a straight line is 180°.
4. Corresponding angles are congruent. These are angles that have the same relative position when a line is intersected by parallel lines. You have other example in the figure like ∠2 and ∠6; ∠3 and ∠7.
5. This is substitution because ∠1 substituted ∠5 in this case. Since ∠1 is equal to ∠5, then it can substitute it in the equation given in step 3. This means that ∠1 and ∠7 are supplementary as well.
Answer:
He would have to do 13 rides.
Step-by-step explanation:
If he initially pays $7, which lets him pay only $1 for each ride, so when he spends $20, he would have done 13 rides.
Answer:
72 songs.
Step-by-step explanation:
0.07 x $100 = 7
100 - 7 = $93
$93/$1.29 = 72.093 ⇒ 72 songs
Answer:
20
Step-by-step explanation:
The area of a kite is equal to the product of both of its diagonals and 1/2.
First diagonal:
2 + 2 = 4
Second diagonal:
8 + 2 = 10
Find the area.
10 × 4 × 1/2
40 × 1/2
= 20