Answer:
smaller number is 10
larger number is 39
Step-by-step explanation:
a = small number
b = larger number
a + b = 49
2a = 3b - 97
substitute 49-a into second equation for b
2a = 3(49-a) - 97
2a = 147 - 3a - 97
5a = 50
a = 10
b = 39
1 ton= 2,000 ponds. Thus 200,000,000,000 divided by 2,000 is 100,000,000
Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
9514 1404 393
Answer:
y = -4x +2
Step-by-step explanation:
The equation you're writing is in slope-intercept form. The coefficient of x is the slope, which is the "rise"/"run" of the line.
Here, to get from the left point to the right point, you must go down 4 units (rise=-4) and 1 unit to the right (run=1). So, the slope is ...
m = rise/run = -4/1 = -4
The constant in the equation is the y-intercept: the y-coordinate of the point where the line crosses the y-axis. That point is marked as (0, 2), so its y-coordinate is 2.
The equation for the line is ...
y = -4x +2
Answer:
B
Step-by-step explanation:
Because... 150 divided by 50 = 3
:)
