Answer:
RS/VU=ST/UT and ∠S≅∠U
Step-by-step explanation:
we know that
The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar
In this problem the included angle is
∠S≅∠U
therefore
side RS must be proportional to side VU and side ST must be proportional to side UT
so
RS/VU=ST/UT
<em>Verify</em>
substitute the given values
12/6=16/8
2=2 -----> is true
therefore
The two sides are proportional
Answer:
(0, 7)
Step-by-step explanation:
The point that crosses the y-axis is called the y-intercept of the line.
We are given an equation of the line and we need to determine the y-intercept. This can be done by determining the constant in the equation.
What are constants?
Constants are such terms that include only numbers. There should be no variables in constants.
<u>We know that:</u>
The constant we can see in the equation is "7". Therefore, the y-intercept is 7.
Note: The y-intercept of the line must have an x-coordinate of 0.
<u>Therefore,</u>
⇒ Coordinates of y-intercept: (x, y) ==> (0, 7).
Given table is given below
The relationship between the number of crocodiles and the number of alligators is not proportional across all lakes. Only two of the lakes have crocodiles and alligators in the same proportion. Which two lakes are they?
lake A and lake B
lake B and lake C
lake A and lake E
lake C and lake D
Answer : lake A and lake E
Lake
---> Crocodiles
---> Alligators
---> Ratio
A
---> 4
----> 5
B
---> 21
---> 35
C
---> 3
---> 9
D
---> 6
---> 16
E
---> 24
---> 30
The ratio of A is 4: 5
B is 21: 35 = 3 : 5
C is 3 : 9 = 1 : 3
D is 6 : 16 = 3 : 8
E is 24: 30 = 4 : 5
Lake A and E has the same ratio 4: 5
Given:
The system of equation is,
-------- (1)
-------- (2)
To find the solution.
To solve the system of equation,
From (1) we get, 
Putting this value into (2) we get,
or, 
or, 
or, 
or, 
or, 
or, 
From (1) we get,
or, 
or, 
Hence,
The solution is 
and
