Answer:
21/20
20/29
21/20
20/29
21/29
20/21
Step-by-step explanation:
Use Soh Cah Toa for each, using the right equation for the right angle
e.g for sin(z) we use the opposite/adjacent for that angle
- the hypotenuse is the biggest size
- the opposite is the side opposite to the angle you are using
- the adjacent is the other side
Answer:
a: K = 2s
K + s = 42
b: 2s + s = 42
K = 28
s = 14
Step-by-step explanation:
1. Come up with equations based on the information given.
K = Kim
s = sister
Kim is twice of her sister -> K = 2s
When you add Kim's age to her sister's age, you get 42 -> K + s = 42
2. Substitue for K to find out the value of s
K = 2s
2s + s = 42
3. Solve for s
s = 42/3
s= 14
4. Solve for K
K = 2s
K = 2*14
K = 28
after 6 hours Al and Ben will be 180 miles apart.
(22 * x) + (8 * x) = 180
x = 6 hours
Answer:
m∠1 = 112°
Step-by-step explanation:
To solve for m∠1, we need to find the supplementary angle and subtract from 180°. We also know that m∠2 = 44° and the remaining two angles inside the triangle are the same because of the congruent sides, let's call each angle x.
Therefore m∠2 + x + x = 180; combine x's
m∠2 + 2x = 180; substitute m∠2 = 44°
44 + 2x = 180; subtract 44 from both sides
2x = 136; divide by 2
x = 68°
Therefore using the supplementary angle
x + m∠1 = 180 (because it is supplementary)
68 + m∠1 = 180; subtract 68 from both sides
m∠1 = 112°
