Answer:
Step-by-step explanation:
In ΔABC,
∠ABC + ∠BAC + ∠BCA = 180 {ANGLE SUM PROPERTY OF TRIANGLE}
41 + 102 + ∠BCA = 180
143 + ∠BCA = 180
∠BCA = 180 - 143
∠BCA = 37
∠CAE = ∠BCA {Alternate interior angles are equal}
x = 37°
1. There are 2 dogs to every 1 cat.
2. There are 20 students for every 1 teacher.
3. There are 4 sugar cones to every 7 waffle cones.
Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Answer: I say the answer is 20 years old, 30 years old
Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.
