The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x
Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º
∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º
Answer: m∠yxz= 62º.
Answer:
The only solution can be (0,-3) point.
Step-by-step explanation:
We have to judge whether the points in options are the solution to the graphed inequality or not.
The first point is (5,-5) which not included in the shaded region of the graph. Hence, it can not be a solution.
The second point is (6,0) which not included in the shaded region of the graph. Hence, it can not be a solution.
The third point is (0,-5) which not included in the shaded region of the graph. Hence, it can not be a solution.
The fourth point is (0,-3). It is on the firm red line which is included in the shaded region of the graph. Hence, it is a solution.
Therefore, the only solution can be (0,-3) point. (Answer)
The piece-wise linear functions can be written as follows:
.
.
.
<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.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
3 pints = 6 cups
Step-by-step explanation:
Formula: multiply the volume value by 2
Answer:
The opposite of prime numbers are composite numbers. A composite number is a positive natural l number that has at least one positive divisor other than one or itself. The number 1 is not a prime number by definition - it has only one divisor.
Step-by-step explanation:
