Answer:
x=3, y=10
Step-by-step explanation:
in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.
this means
y-4=6
y=10
Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that
6=x+3
x=3
Answer:
6. C. 16.64 km
7. B. P 216.00
8. B. P 565 425
9. C. 0.27
10. D. 24.6875
11. B. 3 kg
12. B. ratio
13. A. Proportion
14. D. 6:10
15. B. 2:3
Step-by-step explanation:
6. Mr. Bernard travels 5.12 km per hour on his bike. How far can he travel in 3.25 hours?
Speed = 5.12km/hr
Time = 3.25 hr
To find the distance;
Distance = speed * time
Distance = 5.12 * 3.25
Distance = 16.64 km
7. Mrs. Allysa purchased 48 pencils at P 4.50 each. How much did she pay for all the pencils?
Quantity = 48 pencils
Cost price = P 4.50
To find the total selling price;
Total = quantity * cost price
Total = 48 * 4.50
Total = P 216
8. The Villaroel family bought a 125.65 square meter lot at P 4500.00 per square meter. How much did they
pay?
Quantity = 125.65 m²
Cost price = P 4500
Total price = 125.65 * 4500
Total price = P 565425
9. What is 2.7/10 = 0.27
10. What is 98.75/4 = 24.6875
11. A store owner has 63 kilograms of candy. If she puts the candy into 21 jars, how much candy will each jar
contain?
Mass = 63 kg
Amount = 21 jars
Each jar = 63/21 = 3 kg
12. Ratio: It is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
13. Proportion: It is a statement that two ratios are equal.
14. What ratio is equal to 3:5?
We would multiply both ratio by 2
3:5 * 2 = 6:10
15. What ratio is proportional to 4:6?
We would divide both ratio by 2
4:6 / 2 = 2:3
Answer:
no, they are equal. we know this because when reducing both they are equal.
Step-by-step explanation:
first find the least common denominator
that's 3
reduce fractions until the denominator is both 3
we get 2/3 and 2/3. the proportions are equal.
Answer: B. 17
Step-by-step explanation:
4x-3 = 65
Add 3 on both sides
4x = 68
Divide by 4 on both sides
x = 17
BOOM!
