Answer:
m∠BPD = 120
mBC + mAD = 120°
Step-by-step explanation:
according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is 
the sum of the chords' intercepted arcs.
m∠BPD = (M∠BD + M∠CA)
= (70 + 170)
= (240)
m∠BPD = 120
We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°
mBC + mAD = 360 - ( 70 + 170 )
= 360 - 240
mBC + mAD = 120°
a. use the month for x
Income
point (1,1500) (2 3500)
slope (y2-y1)/(x2-x1) =(3500-1500)/(2-1)=2000
y-y1=m(x-x1)
y-1500 = 2000(x-1)
y-1500=2000x-2000
y = 2000x-500
Expenses
point (1,21400) (2 18800)
slope (y2-y1)/(x2-x1) =(18800-21400)/(2-1)=-2600
y-y1=m(x-x1)
y-21400 = -2600(x-1)
y-21400=-2600x+2600
y = -2600x+24000
b 2000x-500=-2600x+24000
add 2600x to each side
4600x -500 = 24000
add 500 to each side
4600x = 24500
divide by 4600
x=5.326 months
Solve the system by graphing
{2x - 4y = -4 -4y = -2x-4 y = 1/2x +1 slope is 1/2 y intercept 1
{3x - y = 4 -y =-3x +4 y = 3x-4 slope is 3 y intercept is -4
this one you have to do cannot graph here the solution is x=2, y=2
Classify the system without graphing
{y = 12 - 5x
{x - 4y = -6
independent system
dependent system is the same line and has infinite solutions
inconsistent system has no solutions (parallel lines)
Solution:
Given:
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
Writing each number as a sum of integers in three different ways,
Answer:
The shortest side is 3”
Step-by-step explanation:
In this question, we can observe that we have 3 sides of a triangle which are not equal in length. These sides are the long, medium and short.
We now have some mathematical statements according to the question.
Since these statements are referencing the short side, let’s start from there.
Let the length of the short side be x. The medium side is 4” more than the short side. This means that the medium side will be the short side plus 4 which mathematically is (x + 4)“. Also, we know that the longest side is 5 times the length of the shortest side. This is mathematically equal to 5x.
Lastly, we are made to know that the perimeter of the triangle is 25”. The perimeter of a triangle can be obtained by adding all the lengths together. This means that:
x + x +4 + 5x = 25
7x + 4 = 25
7x = 25 - 4
7x = 21
x = 21/7
x = 3”
Answer:
to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.
Step-by-step explanation:
to find the missing number, compare both sides of the equation. If the variable terms are the same and the constant terms are different, then the equation has no solutions.
