Answer:
Solution given;
the ratio to corresponding side are
- 4/3
- 6/x
- 9/12
I know by comparing corresponding side
if
3/4=x/6
doing crisscrossed multiplication
6*3=4*x
18=4x
x=18/4
x=9/2
Answer:
Option (A)
Step-by-step explanation:
In the figure attached,
Quadrilateral ABCD has been translated to get an image quadrilateral A'B'C'D'.
To get the rule by which the pre-image ABCD has been translated, we will choose a point A(1, 1) from the given pre-image.
Coordinates of point A' are (3, -2).
So the change is,
A(1, 1) → A'(3, -2)
A(1, 1) → A'[(1 + 2), (1 - 3)]
A(x, y) → A'[(x + 2), (y - 3)]
Therefore, point A has been shifted 2 units right and 3 units down.
Option (A) will be the answer.
The equation is already factored so, set each factored form to 0.
(x-3)=0 (4x+1)=0
Then, solve each equation.
x-3=0 4x+1=0
+3 +3 -1 -1
______ ______
x=3 4x=-1
--- ---
4 4
______
x=-1/4
So x could be either 3 or -1/4.
Answer:
w = 9
Step-by-step explanation:
Given
6 + (w - 10) = 5, that is
6 + w - 10 = 5
w - 4 = 5 ( add 4 to both sides )
w = 9
Answer:
B. 47
Step-by-step explanation:
The formula for an arithmetic sequence is
an = a1+d(n-1)
a1 =3 (it is the first term)
We can find the common difference by taking the second term and subtracting the first term
5-3 =2
d=2
n = the term number we are looking for
an = 3 + 2(n-1)
We are looking for the 23rd term so n=23
a23 = 3 +2(23-1)
= 3 +2(22)
= 3+44
= 47
