Answer:
3 Numbers: 15, 21, 35
Step-by-step explanation:
We want number that divide 109 with a remainder of 4.
Thus, it can divide of 109 - 4 = 105
Factors of 105 = 3, 5, 7
Thus for getting two digit number it must be Multiple of any two factors of 105.
i.e. 15, 21 and 35
Hence there are only 3 numbers that divide 109 with a remainder of 4.
It’s an isoceles triangle so 180-64=116degrees = the sum of the other two equal angles in the triangle QRP and so angle QRP is 116÷2=58degrees, angles QRP and SRT are vertically opposite so they’re equal. The triangle SRT is also isosceles so 180-58= 122degrees = the sum of the last two equal base angles (including RST that you want to find) So lastly do 122÷2= 61degrees = angle RST
4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
Learn More:
brainly.com/question/2783474
brainly.com/question/14148974
#LearnWithBrainly
Answer:
c
Step-by-step explanation:
