m∠a = 56°, m∠b = 34°, m∠c = 56°
Solution:
<em>Sum of the adjacent angles in a straight line is 180°.</em>
⇒ m∠a + 124° = 180°
⇒ m∠a = 180° – 124°
⇒ m∠a = 56°
∠a and ∠c are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠a ≅ ∠c
⇒ m∠a = m∠c
⇒ m∠c = 56°
<em>Sum of the adjacent angles in a straight line is 180°.</em>
m∠b + 90° + m∠c = 180°
m∠b + 90° + 56° = 180°
m∠b + 146° = 180°
m∠b = 180° – 146°
m∠b = 34°
Hence m∠a = 56°, m∠b = 34°, m∠c = 56°.
Answer:
2520 ways
Step-by-step explanation:
We can solve this problem with 3 combinations:
First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120
Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21
The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.
Now we just need to multiply the combinations to find the result:
C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways
Answer:
Three hundred plus ten plus two equals three hundred twenty two
Step-by-step explanation:
9 times 1.23 equals $11.07 so it cost $11.07
Just compare fractions.
$5.25/x = 8.5/100
Then multiple both sides by 100 and both sides by x;
525 = 8.5x
Divide both sides by 8.5
x ≈ $61.77
