Answer:
x<6/7
Step-by-step explanation:
Based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
<h3 /><h3>What is congruency?</h3>
The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.
An included angle is found between two sides that are under consideration.
See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.
Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.
The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".
Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:
Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.
Learn more about congruency at
brainly.com/question/14418374
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Answer:
- <em><u>average yearly salary of an individual whose final degree is a masters:</u></em><u> $ 66 thousand</u>
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- average yearly salary of an individual whose final degree is a bachelors:<u> $ 56 thousand</u>
Explanation:
You can set a system of equation using the following steps:
1. Name the variables:
- average yearly salary of an individual whose final degree is a masters: x
- average yearly salary of an individual whose final degree is a bachelors: y
2. Set the equations that relate the variables:
- the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:
equation (1): x = 2y - 46
- combined, two people with each of these educational attainments earn $122 thousand:
equation (2): x + y = 122
3. Solve the system:
- x = 2y - 46 . . . equation (1)
- x + y = 122 . . . equation (2)
Substitute equation (1) into equation (2)
Solve for y:
- y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).
Subsitute the value on y in equation 1, to find the value of x:
- x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.
Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.
Answer:
The equation of the line with a y-intercept of 4 and a point (8,8) is 
Step-by-step explanation:
A linear equation can be expressed in the form
y = m * x + b
where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
Graphically this equation represents a line.
In this case, you know:
- The point (x,y)=(8,8)
- Y-intercept= 4
Replacing:
8=m*8 +4
Solving:
8-4=m*8
4=m*8
4÷8= m

Then, <u><em>the equation of the line with a y-intercept of 4 and a point (8,8) is </em></u>
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