Answer:
9
Step-by-step explanation:
4+5 is equal to 9.
Answer:
m∠ABC=42°
Step-by-step explanation:
m∠ABD=70°
⇒m∠ABD=m∠ABC+m∠CBD
⇒70°=(3x+33°)+(5x+13°)
70°=8x+46°
70°-46°=8x
24°=8x⇒x=3°
x=3°
Then,
m∠ABC=3x+33°
put x=3°, we get
m∠ABC=3×3°+33°=9°+33°
m∠ABC=42°
Solution:
we have been asked to find
Which equation represents the graphed function?
As we can see in the graph, the line is passing through the point (2,0) and (0,-3).
As we know the equation of the passing through two points is given by the formula
![(y-y_1)=m(x-x_1)\\ \\ m=slope=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-0}{0-2}=\frac{3}{2} \\](https://tex.z-dn.net/?f=%28y-y_1%29%3Dm%28x-x_1%29%5C%5C%0A%5C%5C%0Am%3Dslope%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B-3-0%7D%7B0-2%7D%3D%5Cfrac%7B3%7D%7B2%7D%20%20%5C%5C)
So the equation of the line will be
![y-0=\frac{3}{2}(x-2)\\ \\ y= \frac{3}{2}x-3\\ \\](https://tex.z-dn.net/?f=y-0%3D%5Cfrac%7B3%7D%7B2%7D%28x-2%29%5C%5C%0A%5C%5C%0Ay%3D%20%5Cfrac%7B3%7D%7B2%7Dx-3%5C%5C%0A%5C%5C)
First, let us write the place values of 4 in A and B.
In A, the number is 16.942 and the place value of 4 is 0.04.
In B, the number is 9.214 and the place value of 4 is 0.004.
It is clear that 0.04 > 0.004.
Hence, statement C best compares the value of 4 in each number.