Answer:
0 ≤x
Step-by-step explanation:
9x-3 ≤11x-3
Subtract 9x from each side
9x-9x-3 ≤11x-9x-3
-3 ≤2x-3
Add 3 to each side
-3+3 ≤2x
0 ≤2x
Divide by 2
0/2 ≤2x/2
0 ≤x
Let us recall parallelogram properties, which states that opposite angles of parallelogram are congruent.
We can see from graph that side US is parallel to TR and measure of angle U equals to measure of angle R, therefore, quadrilateral drawn in our given graph is a parallelogram.
Since we know that opposite sides of parallelogram are congruent. In our parallelogram UT=SR and US=TR.
In our triangle STU and triangle TSR side TS=TS by reflexive property of congruence.
Therefore, our triangles are congruent by SSS congruence.
Answer:
47
Step-by-step explanation:
The number that should go after 23 is 47.
The pattern seems to be (n * 2) + 1, where n is the value of the previous number.
We start with the number 5:
5
(5 * 2) + 1 = 11
11
(11 * 2) + 1 = 23
23
(23 * 2) + 1 = 47
47
... and so on
The pattern should continue as follows.
Hope this helps!
Answer:
C.
Step-by-step explanation:
The zeros of a polynomial are the x-intercepts of the function. To find them, we factor the polynomial and set each factor equal to 0.
This polynomial is already factored so set each to 0 and solve for x.
This means x=-2, 5. Each zero or root has a multiplicity - the number of times the factor occurs. This is also known as the exponent of the factor expression.
(x+5) occurs once since it has exponent 1.
occurs twoce since it has exponent 2.
x=5 mult. 1, x=-2 mult. 2
