Answer:
2. 4a+2c = 5000
4. a + c = 1600
Step-by-step explanation:
Answer:
58 years old
Step-by-step explanation:
the equation would be 500-4x=268 with x being his age.
subtract both sides by 500 to get -4x=-232
then divide both sides by -4 to get x=58
Answer: The equivalent expression for is
Step-by-step explanation:
The distance in feet that Karina swims in a race is represented by 4d - 4, where is d is the distance for each lap.
To get equivalent expression we factor the expression 4d-4
Greatest common factor is 4
Factor out 4 from the expression 4d-4
when we factor out 4, we divide each term by 4
The equivalent expression for is
Step-by-step explanation:
Answer:
The surface area is 40
Step-by-step explanation:
It is 40 because you have to find the area of each face so you would do 3*4 which equals 12 and since there is 4 of the triangles you do 12*4 which is 48 but when it's a triangle you have to cut it in half so it would really be 24.
Then for the square on the bottom you would do 4*4 which is 16 and then you would add the totals to get 40.
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
