Answer:
approximately 21, when rounded to nearest tenth.
Step-by-step explanation:
First, let's find the measure of angle BAD. Angles BAD and DAC add up to 180 degrees, so 180-57= 123 degrees. Now, let's find the circumference of the circle. The circumference is diameter * π, which is 19.6(π). Then, the ratio is 123/360, so multiply 19.6(π) by 123/360, and you get 21.0381988...... which simplifies to 21 (rounded to nearest tenth)
Answer:
Mai was moving faster.
As, she covered a greater distance in the same amount of time.
Step-by-step explanation:
Given: Mai traveled 15 meters in 6 seconds and Priya travels 22 meters in 10 second.
Calculate the speed of both;
Speed defined as the rate at which an object covers distance.
Mai traveled 15 meters in 6 seconds
then;
Speed = 
Priya travels 22 meters in 10 second.
then;
Speed = 
Reason: Mai traveled faster because she covered a greater distance in the same amount of time.
Answer:
x = 7 and y = 17
Step-by-step explanation:
16x + 9x + 5 = 180 cuz they are supplementary
25x = 175
x = 7
We also know that 16x + 4y = 180
so 16(7) + 4y = 180, so 4y = 180 - 112, so 4y = 68. y = 17
hope this makes sense
4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality
Answer:
4 boys, 3 girls
Step-by-step explanation:
brothers of John ⇒ x
sisters of John ⇒ y
John has as many brothers as sisters:
- x = y
brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))
sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))
Emily has twice as many brothers as sisters:
- 2 (y-1) = x+ 1
Now we have a system of 2 equations and 2 variables
x=y (I)
2y - 2 = x + 1 (II)
____________
Replace x in equation II
2y - 2 = y + 1
2y - y = 2 + 1
y = 3
____________
Replace y in equation I
x = y = 3
That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family
