Answer:
The slope for the line is 2
Question 1:
Since the triangles are congruent, we know that QS = TV
This means that
3v + 2 = 7v - 6
Subtract both sides by 2
3v = 7v - 8
Subtract 7v from both sides
-4v = -8
Divide both sides by -4
v = 2
Plug this value back into 3v + 2 and you get 8.
QS = 8
Since the triangles are congruent
QS = 8 AND TV = 8
Question 2:
So we know that AC = AC because that's a shared side.
It's also given that BC = CD.
In order for two triangles to be congruent by SAS, the angle between the two sides must be congruent.
That means angle C must be congruent to angle C from the other triangle.
Question 3:
We know that AC = AC because it's a shared side.
We also know that angle A from one triangle is equal to angle C from the other.
However, for a triangle to be congruent by SAS, the congruent angle must be between two congruent sides.
In order for us to prove congruence by SAS, AD must be congruent to BC.
Have an awesome day! :)
Answer:
<em>6000 people</em>
Step-by-step explanation:
Given the ratio of in-state to out-of-state visitors to the amusement park was 4 to 3, the total ratio will be 4+3 = 7
Total visitors in the park = 14,000 visitors
Number of people that were out of state = 3/7 * 14000
Number of people that were out of state = 3 * 2000
Number of people that were out of state = 6000
<em>Hence there were 6000 people out of state.</em>
Answer:
For
we will have positive values only.


Rest are positive so will give positive values out of the modulus function.
Step-by-step explanation:
The absolute value of any number is its positive value only.
As for example
and
both are having equal distance from
in a number line, one on the left other on the right side of the number line but are equidistant from
.
So absolute value of a number is its distance on number line from reference point
.
One by one we will work with all of our question.





So we have to take the positive number out of the modulus function that is also called absolute value.
Answer: 
Step-by-step explanation:
- Dilation is a transformation, in which the size of the image gets changed but not shape.
The rule of dilation with scale factor k and wither origin as center of dilation :
(x,y) → (kx, ky)
Here ,
, center of dilation = Origin
Then, the rule best represents a dilation to create pentagon PQRST will be :
