Answer:
Step-by-step explanation:
SSS (Side-Side-Side) Postulate can be used to prove the two triangles congruent.
<u>Here's why:</u>
Whole figure is a parallelogram which means that opposite sides are parallel and equal (or congruent).
So, Two of the sides can be proved congruent by that way.
The third side is common in both of the triangles which means that the third side is also congruent.
Hence, the two triangles are congruent by SSS postulate.
Hope this helped!
<h3>~AH1807</h3>
Answer:
a. 3/10
b. 7/10
Step-by-step explanation:
a. Total number of marbles = 10
Number of red marbles = 3
Probability = Number of outcomes/ Total number of outcomes
= 3/10
b. Total number of marbles = 10
Number of red marbles = 3
Number of marbles excluding the red marbles
= 10 - 3 = 7
Probability = Number of outcomes/ Total number of outcomes
= 7/10
The linear equation for his balance over time is given by:
y = 20x + 100.
- The x-intercept is of 20, which is the amount by which the balance increases each week.
- The y-intercept is of 100, which is the initial balance.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:
y = 20x + 100.
Hence:
- The x-intercept is of 20, which is the amount by which the balance increases each week.
- The y-intercept is of 100, which is the initial balance.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
12,200
Step-by-step explanation:
hope this helps!!!